Undergraduate Program Course Outlines
The Course Outlines and syllabi on this web page represent the best descriptions of some of the undergraduate courses that are available at this time. The Teaching Activities Committee of the Physics Department expects that these topics be covered, but some deviations may result. You should consult the instructor before choosing to take a course because of a specific topic.
Go to the College Catalog
Courses:
 Physics 121, 122, 123  General Physics I, II, III (AutumnSpring)
 Physics 131, 132, 133  Mechanics; Electricity & Magentism; Waves, Optics, & Heat (AutumnSpring)
 Physics 141, 142, 143  Honors Mechanics; Honors Electricity & Magentism; Honors Waves, Optics, & Heat (AutumnSpring)
 Physics 154  Modern Physics (Autumn)
 Physics 185  Intermediate Mechanics (Winter)
 Physics 197  Statistical & Thermal Physics (Autumn)
 Physics 220  Introduction to Mathematical Methods in Physics (Spring)
 Physics 221  Mathematical Methods in Physics (Autumn)
 Physics 225, 227  Intermediate Electricity & Magnetism I, II (Winter/Spring)
 Physics 226  Electronics (Spring)
 Physics 234, 235  Quantum Mechanics I, II (Spring/Autumn)
 Physics 236  Solid State Physics (Winter)
 Physics 237  Nuclei & Elementary Particles (Spring)
Physics 121: General Physics I
Level: "Fundamentals of Physics", 10th Ed., by Halliday, Resnick, and Walker
Prerequisites: (MATH 132 OR 152 OR 162) AND (CHEM 113 OR 123)

Motion in one dimension
 average and instantaneous velocity; acceleration
 equations of motion for constant acceleration; free fall

Vectors
 properties of vectors
 adding vectors: geometrically; by components
 scalar and vector products

Motion in two and three dimensions
 position, velocity, and acceleration vectors
 equations of motion for constant acceleration; projectile motion
 uniform circular motion; centripetal acceleration
 uniform relative motion

Newton's Laws
 first law and force
 second law and mass
 third law; force pairs
 freebody diagrams
 friction forces
 dynamics of circular motion

Work and energy
 work by constant force
 kinetic energy; workenergy theorem
 power

Conservation of energy
 conservative and nonconservative forces
 potential energy

Systems of particles
 center of mass
 linear momentum
 conservation of momentum

Collisions
 impulse and momentum
 elastic and inelastic collisions
 conservation of momentum in one and two dimensions

Rotational kinematics
 angular velocity; radial and tangential acceleration
 equations of motion for constant angular acceleration

Rotational dynamics
 rotational kinetic energy
 rotational inertia (moment of inertia)
 angular momentum; torque
 rigid body motion

Static equilibrium
 conditions
 center of gravity
 stable and unstable equilibria

Gravitation
 Kepler’s laws of planetary motion
 Newton's law of universal gravitation
 gravitational potential energy; escape velocity

Oscillations
 simple harmonic motion
 mass on spring; simple pendulum
 energy in harmonic motion

Fluid dynamics
 statics; Archimedes principle
 fluid flow; streamlines; continuity equation
 Bernoulli's equation
Physics 122: General Physics II
Level: "Fundamentals of Physics", 10th Edition, by Halliday, Resnick, and Walker
Prerequisites: PHYS 121

Electric charge and Coulomb's law
 conductors and insulations
 charging by induction

Electric field
 field of point charge; dipole field
 field of continuous charge distributions
 field lines

Gauss' Law
 electric flux
 Gauss' Law
 charge distributions with spherical, cylindrical, and planar symmetry
 conductors

Electric potential
 electric potential; electric potential energy
 calculating potential from field
 potential of a point charge
 potential of continuous charge distributions
 equipotential surfaces
 conductors

Capacitors
 definition of capacitance
 calculating capacitance
 capacitors in series and in parallel
 energy stored in electric field
 dielectrics

Current and resistance
 current; current density
 resistance; resistivity, conductivity
 Ohm's Law
 energy transfer

DC circuits
 batteries; electromotive force
 resistors in series and in parallel
 singleloop and multiloop circuits
 loop theorem; junction theorem; branch method
 ammeter; voltmeter
 RC circuits: charging and discharging

Magnetic field
 magnetic field of moving charge
 magnetic force on moving charge
 force between moving charges
 BiotSavart law
 field of currentcarrying wire
 force on currentcarrying wire
 field of magnetic dipole
 torque on magnetic dipole in external field

Ampere's Law
 field of currentcarrying wire
 field of solenoid

Faraday's Law
 motional emf
 magnetic flux
 Faraday's Law; Lenz' Law

Inductance
 mutual inductance; self inductance
 LR and LC circuits
 energy stored in magnetic field

AC circuits
 AC generator
 rms voltage
 power in AC circuits
 transformer

Electromagnetic waves
 Maxwell's equations
 generating an electromagnetic wave
 electromagnetic spectrum
Physics 123: General Physics III
Level: "Fundamentals of Physics", 10th Edition, by Halliday, Resnick, and Walker
Prerequisites: PHYS 122

Wave motion
 mechanical waves; transverse and longitudinal waves
 traveling waves
 wave speed
 wave equation
 power and intensity
 interference
 standing waves

Sound
 speed of sound
 traveling longitudinal waves
 power and intensity; decibels
 standing sound waves
 beats
 Doppler effect

Propagation of light
 speed of light
 electromagnetic spectrum
 reflection
 refraction; Snell's Law
 total internal reflection

Mirrors and lenses
 plane mirrors; spherical mirrors
 image formation
 mirror equation; magnification
 thin lenses
 lens equation; magnification
 compound optical systems
 magnifier; microscope; telescope

Interference
 doubleslit interference
 intensity
 thin films

Diffraction
 singleslit diffraction
 intensity
 circular aperture; Rayleigh criterion
 doubleslit: interference and diffraction combined

Gratings
 multiple slits
 diffraction grating
 resolving power

Polarization
 polarization by selective absorption; polarizing sheets
 polarization by reflection; Brewster's angle
 double refraction

Quantum physics
 thermal radiation
 photoelectric effect
 Einstein's photonic theory of light
 Compton effect
 waveparticle duality

Wave nature of matter
 de Broglie wavelength
 xray diffraction
 wave packet's; Heisenberg uncertainty principle
 wave function; probability
 barrier penetration; tunneling

Atomic structure
 Bohr model
 angular momentum
 electron spin
 spectrum of hydrogen; Balmer series

Nuclear physics
 Rutherford experiment
 properties of nucleus
 radioactive decay: alpha, beta, and gamma decay
 exponential decay law; half life
 detection of ionizing radiation
Physics 131: Mechanics
Level: "University Physics", 14th ed., by Young and Freedman
Prerequisites: A threequarter calculus sequence: MATH 130’s, 150’s, or 160’s. (MATH 150’s or 160’s may be taken concurrently.)

Motion in one dimension
 average and instantaneous velocity; acceleration
 equations of motion for constant acceleration; free fall

Vectors
 properties of vectors
 adding vectors: geometrically; by components
 scalar and vector products

Motion in two and three dimensions
 position, velocity, and acceleration vectors
 equations of motion for constant acceleration; projectile motion
 uniform circular motion; centripetal acceleration
 uniform relative motion; Galilean transformations

Newton's Laws
 first law and force
 second law and mass
 third law; force pairs
 freebody diagrams
 friction forces
 dynamics of circular motion

Work and energy
 work by constant force; work by variable force
 kinetic energy; workenergy theorem
 power

Conservation of energy
 conservative and nonconservative forces
 potential energy

Systems of particles
 center of mass
 linear momentum
 conservation of momentum

Collisions
 impulse and momentum
 elastic and inelastic collisions
 conservation of momentum in one and two dimensions

Rotational kinematics
 linear and angular velocity; rolling
 radial and tangential acceleration
 equations of motion for constant angular acceleration

Rotational dynamics
 rotational kinetic energy
 rotational inertia (moment of inertia); parallelaxis theorem
 angular momentum; torque
 rigidbody motion
 precession of spin angular momentum

Static equilibrium
 conditions
 center of gravity
 stable and unstable equilibria

Gravitation
 Newton's law of universal gravitation
 gravitational potential energy; escape velocity
 rocket motion; thrust

Oscillations
 simple harmonic oscillator
 mass on spring; simple pendulum; physical pendulum
 energy in harmonic motion
 damped and driven harmonic motion

Special Relativity
 MichelsonMorley experiment
 postulates of special theory of relativity
 simultaneity
 time dilation; length contraction
 Lorentz transformations; velocity addition
 relativistic momentum
 relativistic kinetic energy; restmass energy
 energy, momentum, and mass relation
Physics 132: Electricity & Magnetism
Level: "University Physics", 14th ed., by Young and Freedman
Prerequisites: PHYS 131 OR 141

Electric charge and Coulomb's law
 conductors and insulators
 charging by induction

Electric field
 field of point charge; dipole field
 field of continuous charge distributions
 field lines

Gauss' Law
 electric flux
 Gauss' Law
 charge distributions with spherical, cylindrical, and planar symmetry
 conductors

Electric potential
 electric potential and electric potential energy
 calculating potential from field
 potential of a point charge
 potential of continuous charge distributions
 equipotential surfaces
 calculating field from potential
 conductors

Capacitors
 definition of capacitance
 calculating capacitance
 capacitors in series and parallel
 energy stored in electric field
 dielectrics

Current and resistance
 current; current density
 resistance; resistivity, conductivity
 Ohm's Law
 energy transfer

DC circuits
 batteries; electromotive force
 resistors in series and in parallel
 singleloop and multiloop circuits
 loop theorem; junction theorem; branch method
 ammeter; voltmeter
 RC circuits: charging and discharging

Magnetic field
 magnetic field of moving charge
 magnetic force on moving charge
 force between moving charges
 BiotSavart law
 field of currentcarrying wire
 force on currentcarrying wire
 field of magnetic dipole
 torque on magnetic dipole in external field

Ampere's Law
 field of currentcarrying wire
 field of infinite plane of current
 field of solenoid

Faraday's Law
 motional emf
 magnetic flux
 Faraday's Law; Lenz' Law

Inductance
 mutual inductance; self inductance
 RL and RLC circuits
 energy stored in magnetic field

AC circuits
 AC generator
 rms voltage
 power in AC circuits
 transformer

Electromagnetic waves
 Maxwell's equations
 displacement current
 generating an electromagnetic wave
 electromagnetic spectrum
Physics 133: Waves, Optics, & Heat
Level: "University Physics", 14th ed., by Young and Freedman
Prerequisites: PHYS 132 OR 142

Wave motion
 mechanical waves; transverse and longitudinal waves
 traveling waves
 wave speed
 wave equation
 power and intensity
 interference
 standing waves

Sound
 speed of sound
 traveling longitudinal waves
 power and intensity; decibels
 standing sound waves
 beats
 Doppler effect

Propagation of light
 speed of light
 electromagnetic spectrum
 reflection
 refraction; Snell's Law
 total internal reflection

Mirrors and lenses
 plane mirrors; spherical mirrors
 image formation; ray tracing
 mirror equation; magnification
 thin lenses
 lens equation; magnification
 compound optical systems
 magnifier; microscope; telescope

Interference
 doubleslit interference
 Michelson interferometer
 intensity
 thin films

Diffraction
 singleslit diffraction
 intensity
 circular aperture; Rayleigh criterion
 doubleslit: interference and diffraction combined

Gratings
 multiple slits
 diffraction grating
 resolving power

Polarization
 polarization by selective absorption; polarizing sheets
 polarization by reflection; Brewster's angle
 double refraction
 quarterwave and halfwave plate

Kinetic Theory and Ideal Gases
 ideal gas law
 kinetic theory: pressure, temperature
 work; internal energy

Thermodynamics
 heat capacity; specific heat
 heat transfer
 first law of thermodynamics
 second law of thermodynamics
 heat engines; refrigerators; Carnot cycle
 entropy: reversible and irreversible processes
Physics 141: Honors Mechanics
Level: "An Introduction to Mechanics" by Kleppner and Kolenkow
Prerequisites: College placement

Vectors and kinematics
 vectors, basis vectors, vector addition
 position, velocity, and acceleration
 scalar and cross products; index notation
 gradient; curl
 velocity and acceleration in polar coordinates
 Cartesian, spherical, cylindrical coordinate systems; volume element

Newton’s Laws and Forces
 1st, 2nd, and 3rd laws; mass
 solving integrable equations of motion; setting up integrals in 1 and 3D
 gravity; inertial versus gravitational mass
 gravitational potential energy
 inertial versus linearly accelerated frames; fictitious forces
 circular motion, centripetal force

Work and Energy
 mechanical work; kinetic energy; potential energy; power
 conservative, dissipative forces
 applications: escape velocity

Linear Momentum
 momentum conservation; impulse
 elastic/inelastic collisions

Torque and Angular Momentum
 analogy to Newton’s 2nd law
 rotational kinetic energy

Rigid Bodies
 systems of particles; centerofmass frame; COM calculation
 kinetic energy and angular momentum of system
 gyroscopic motion; precession

Central Force Motion
 reduced mass
 Kepler’s law
 angular momentum and effective potential; orbits

Oscillatory Motion
 mass and spring
 simple pendulum; physical pendulum

Special Relativity
 postulates of SR; MichelsonMorley
 lightclock; Lorentz transformation; Galilean transformation
 time dilatation; length contraction
 velocity addition
 relativistic energy and momentum
Physics 142: Honors Electricity & Magnetism
Level: "Electricity and Magnetism" by Purcell and Morin
"Div, Grad, Curl and all that" by Schey
Prerequisites: PHYS 141 OR (PHYS 131 AND permission of Department)

Coulomb’s Law and Static Electric Field
 electric force; charge; units
 electric field; field from point charge; superposition of multiple point charges
 electric potential; equipotentials, lines of force; potential energy
 gauss’ law and flux
 Poisson and Laplace equations; Earnshaw’s theorem
 continuous charge distributions; fields/potentials from line, disk, cylinder, sphere
 energy stored in electric field; parallel plate capacitor

Conductors and Insulators
 conductor in electrostatic field
 Stoke’s theorem; electric field at surface of conductor
 dielectrics; continuity of electric field across boundaries
 energy in dielectrics; dielectric capacitor

Steadystate Electric Currents
 current density
 resistance, Ohm’s law, energy dissipation and power
 Kirchhoff’s circuit laws; EMF

Magnetic Field
 magnetic field of moving charges
 Lorentz force on element of current
 Ampere’s and BiotSavart laws
 field of current loop; solenoid
 torque on current loop
 role of atomic currents; diamagnetism, paramagnetism; ferromagnetism

Electromagnetic Induction
 Faraday’s law, Lenz’ rule
 self and mutualinductance
 energy stored in magnetic field

AC Circuits
 RC, LC, LRC circuits
 solution of Kirchhoff eqns using complex numbers and exponentials

Maxwell’s Equations
 displacement current
 Maxwell’s equations in differential form
 EM wave equation
Physics 143: Honors Waves, Optics, & Heat
Level: "The Physics of Vibrations and Waves" by Pain
"Waves" by Morin
"Thermal Physics" by Schroeder
Prerequisites: PHYS 142

Oscillations
 complex exponential solutions to simple, damped, forced oscillators
 coupled oscillators; beats
 normal modes; eigenvalue equations

1D Wave solutions in Continuous Media
 infinite coupled oscillator chain; wave solution;
 general traveling wave solutions in 1D; superposition of waves/pulses
 differential equations having wave solutions; taut string; pressure wave
 standing waves; Fourier decomposition; harmonics; timbre, pitch
 energy and power; impedance
 phase, group velocity; dispersion
 continuity at boundaries of two media

Interference and Diffraction
 waves in 2D
 EM waves and polarization; phase of a wave
 Young’s interference; multiple point sources;
 thin film interference; Newton’s rings; Michelson interferometer
 single slit diffraction;
 diffraction grating
 pinhole diffraction; Rayleigh criterion

Reflection, Refraction, Lenses, Polarization States
 index of refraction
 Huyghen’s principle; Snell’s law; Fermat’s principle
 critical angle, TIR
 thin lens formula; optical devices
 lens as Fourier transformer; Abbe; optical filtering
 polarizers; Malus’ law

Thermal Physics: Kinetic Theory and Ideal Gas
 pressure and temperature; ideal gas law
 specific heat
 1st Law of thermodynamics
 work and internal energy; degrees of freedom
 reversible and irreversible cycles; heat and heat engines; Carnot cycle
 Maxwell distribution and Boltzmann constant
 free expansion of a gas; entropy
Physics 154: Modern Physics
Level: "Quantum Physics (of Atoms, Molecules, Solids, Nuclei, and Particles)" by Eisberg and Resnick (2nd ed.)
Prerequisites: PHYS 143 OR (PHYS 133 AND PHYS 220)

Photons
 photoelectric effect
 Einstein's quantum theory of light
 Compton effect

Structure of the Atom
 spectral lines; Rydberg constant
 Rutherford scattering
 Bohr model
 FranckHertz experiment

Wave Nature of Particles
 de Broglie waves
 wave packets: wave and group velocities
 DavissonGermer experiment
 waveparticle duality
 uncertainty principle
 2slit interference

Wave Mechanics
 Schroedinger equation: timedependent form
 Schroedinger equation: timeindependent form
 wave functions
 probabilistic interpretation; expectation values

Solutions to Schroedinger Equation in 1D
 particle in a box: energy levels and wave functions
 particle in a finite potential well
 step potential: transmission and reflection probabilities
 barrier penetration; tunnelling: alpha decay

Solutions to Schroedinger Equation in 3D
 particle in a 3D box
 hydrogen atom: separation of variables [a rigorous solution of the ODE's is deferred until Physics 234235]
 energy; angular momentum; space quantization
 electron spin; exclusion principle

Applications
 nuclear physics
 solidstate physics
Physics 185: Intermediate Mechanics
Level: "Classical Dynamics of Particles and Systems" by Marion and Thornton
"Analytical Mechanics" by Hand and Finch
"Classical Mechanics" by Taylor
Prerequisites: (PHYS 131 OR 141) AND (PHYS 221 OR MATH 207 OR MATH 20250) {MATH 20250 may be concurrent}

Newtonian Physics
 Brief math review: transformations, index notation, LeviCivita
 integrable problems
 rocket problems

Work, conservative forces
 line integrals
 Helmholtz theorem and potentials
 source and Poisson equations
 potential of spherical mass distributions; solid angle

Calculus of Variations
 variational approach; Euler equation
 constraints
 examples: brachistochrone, Fermat’s principle; isoperimetric problems

Lagrangian and Hamiltonian Formulations
 Hamilton's Principle
 generalized coordinates, forces
 EulerLagrange equation; Beltrami identity
 undetermined multipliers; constraint forces
 conservations laws; symmetry principles; cyclic coordinates
 canonical momenta; Hamiltonian
 Poisson brackets

CentralForce Motion
 reduced mass
 conserved quantities
 effective potential; equations of motion; orbits

NonInertial Frames
 rotating coordinates
 centrifugal, Coriolis forces

RigidBody Dynamics
 inertial tensor; principle axes
 Euler angles; Euler equations; motion of symmetric top
Physics 197: Statistical & Thermal Physics
Level: "Fundamentals of Statistical and Thermal Physics" by Reif
Prerequisites: PHYS 234 AND (PHYS 221 OR MATH 205)

Properties of Large systems
 Equilibrium and fluctuations
 Elements of probability theory

Statistical Description of Physical Systems
 Counting states

Thermodynamic Quantities
 Entropy and temperature
 Ideal gases
 Simple paramagnetism

Calculations and Measurements
 Internal energy
 Heat capacity
 Susceptibility
 CurieWeiss Theory

Canonical Ensembles
 Maxwell distribution
 Equipartition theorem
 Applications
 Equilibrium and the Laws of Thermodynamics

Quantum Statistics of Ideal Gases
 MaxwellBoltzmann
 BoseEinstein
 FermiDirac
 Applications

Kinetic Theory of Transport Processes
 Viscosity and thermal conductivity
Physics 220: Introduction to Mathematical Methods in Physics
Level: "Mathematical Methods in the Physical Sciences", 3rd ed., by Boas
Prerequisites: PHYS 132 AND (MATH 152 OR 162)
 Infinite and Power Series
 Complex Numbers
 Linear Equations; Vectors; Matrices
 Partial Differentiation
 Multiple Integrals
 Vector Analysis
 Fourier Series
Physics Goals:
 differential form of Maxwell's equations (including vector potential)
 Fourier analysis of waves
 coupled oscillators
Physics 221: Mathematical Methods in Physics
Level: "Mathematical Methods in the Physical Sciences" (3rd ed.) by Boas
Prerequisites: PHYS 220 OR PHYS 142143
 Ordinary Differential Equations
 Coordinate Transformations; Tensors
 Linear Vector Spaces
 Series Solutions; Legendre, Bessel; etc.
 Partial Differential Equations
 Integral Transforms
Physics 225: Intermediate Electricity & Magnetism I
Level: "Electromagnetic Fields" by Wangsness
"Introduction to Electrodynamics" by Griffiths
Prerequisites: (PHYS 132 OR 142) AND (PHYS 221 OR MATH 207 OR MATH 20250) {MATH 20250 may be concurrent}

Review of Introductory Electrostatics
 review of vector calculus
 Coulomb's law, electrostatic field and potential; flux
 Gauss's law, Poisson's equation, Laplace's equation
 capacitance, potential energy of charge distribution, forces on conductors

Boundary Value Problems
 boundary conditions, the uniqueness theorem
 image charges
 separation of variables solutions; Legendre polynomials; multipole expansion
 solutions to Laplace's equations

Dielectrics
 LIH electric materials
 polarization vector, displacement vector, electric susceptibility
 calculation of electrostatic fields inside and outside a dielectric
 potential energy of a charge distribution and forces on dielectrics

Magnetostatics
 BiotSavart law, magnetic induction, the Lorentz force
 divergence of B; the vector potential
 the curl of B, Ampere's law
 the magnetic dipole, magnetic force and torque

Magnetic Materials
 LIH magnetic materials
 M, H, and B
 paramagnetism, diamagnetism, ferromagnetism and hysteresis
 boundary conditions for magnetic materials
 magnetostatic boundary value problems
Physics 227: Intermediate Electricity & Magnetism II
Level: "Electromagnetic Fields" by Wangsness
"Introduction to Electrodynamics" by Griffiths
Prerequisites: PHYS 225

Faraday's Law of Induction
 Faraday's Law in moving and stationary media
 inductance, selfinductance
 energy stored in a magnetic field
 magnetic forces, changes in magnetic energy

Maxwell's Equations
 current conservation; the displacement current
 Maxwell's equations in vacuum and in LIH media
 the Poynting vector, energy flow, EM momentum
 Maxwell stress tensor

Plane Electromagnetic Waves
 derivation of the wave equation
 scalar and vector potentials with Gauge transformation
 waves in conducting and nonconducting media
 waves in a plasma
 polarization (linear and circular)

Reflection and Refraction of EM Waves
 Snell's Law
 Fresnel's equations
 radiation pressure

Radiation
 retarded potentials and multipole expansion
 LienardWiechert potentials
 radiation from a moving point charge

Special Relativity and Covariant Formulation
 Lorentz transformation and 4vectors
 how E, B transform
 field tensor; Maxwell’s equations in covariant form
Physics 226: Electronics
Level: "The Art of Electronics" by Horowitz and Hill
Prerequisites: PHYS 132 OR 142
This course in practical electronics provides students with two afternoons per week in laboratory as well as 3 hours per week of lecture. These lectures are very closely correlated with the work in the laboratory.
Lecture Topics:
 Review of DC circuit theory
 AC circuit theory
 Brief introduction to semiconductor devices
 Amplifiers: including small signal models of transistors, transistor biasing, and high frequency behavior.
 Feedback
 Operational amplifiers
 Introduction to digital electronics: including Boolean algebra and digital switches
 Multivibrators
 Counters and shift registers
 A/D and D/A converters
Typical Experiments:
 DC circuits
 Transient and frequency response of simple circuits
 Single stage transistor amplifiers
 Biasing and feedback
 Operational amplifiers
 Multivibrators
 Digital gates and Boolean algebra
 Digital multivibrators and binary adders
 Digital counters and shift registers
Physics 234: Quantum Mechanics I
Level: "Principles of Quantum Mechanics" (2nd ed.) by Shankar
Prerequisites: PHYS 154 AND (PHYS 221 OR MATH 204)
 Waveparticle duality; twoslit experiment; wave packets; compatible and incompatible variables; postulates of quantum mechanics
 Schroedinger equation; 1D problems
 Harmonic oscillator
 Uncertainty principle
 Systems with N degrees of freedom
 Rotational invariance and angular momentum
 Hydrogen atom
 Spin
Physics 235: Quantum Mechanics II
Level: "Principles of Quantum Mechanics" (2nd ed.) by Shankar
"Quantum Physics" (2nd ed.) by Gasiorowicz
Prerequisites: PHYS 234

Review of onedimensional quantum mechanics
 Hilbert space
 Hamiltonians
 eigenstates; observables
 hydrogen atom

Spin and angular momentum
 review of spin 1/2
 addition of angular momentum

Timeindependent perturbation theory
 first and secondorder perturbation theory
 degenerate perturbation theory
 fine and hyperfine structure

Electrons in an electromagnetic field
 role of vector potential in QM
 AharonovBohm effect
 Landau levels
 Zeeman effect; Stark effect

Manyelectron atoms
 helium
 shell structure
 Hund's rules
 variational methods

Molecules
 orbitals
 ionic and covalent bonds
 hybridization
 molecular spectra

If time permits:
Radiation of atoms timedependent perturbation theory
 electromagnetic interactions
 dipole transitions; selection rules
 phase space; Fermi's golden rule
 lasers
Physics 236: Solid State Physics
Level: "Introduction to Solid State Physics", 5th Ed., by Kittel
"Solid State Physics" by Blakemore
"Solid State Physics" by Elliott and Gibson
Prerequisites: PHYS 235 AND PHYS 197

Crystal Structure, Crystal Binding
 Space lattice, Miller indices
 Reciprocal Lattice, Brillouin zones
 Diffraction, structure factor, atomic form factor
 DebyeWaller factor

Review of Quantum Statistics
 Photons and Black Body Radiation
 Bose condensation and superfluid helium

Lattice Vibrations, Phonons
 Phonon spectrum for one and more atoms per primitive
 cell, acoustic and optic branches
 Density of states
 Specific heat, Einstein and Debye approximation, Debye temperature, law of DulongPetit, equipartition of energy
 Heat Conduction and its temperature dependence
 Zero point energy
 Lindeman melting criterion

Free Electron Model (Sommerfeld)
 Density of states, Fermi energy, Fermi velocity
 Electronic specific heat, heat capacity
 Boltzmann equation and relaxation time
 Electrical conductivity, meanfree path, scattering by phonons, by impurities, Matthiessen's rule
 Thermal conductivity of electron gas
 WiedemannFranz law, Lorentz number
 Compressibility of freeelectron gas
 Thermoionic emission, work function, Richardson Dushman formula
 Hall effect

Nearly Free Electron Model, Weak Periodic Potential
 Energy bands, E(k), origin of energy gap
 Block theorem or Floquet theorem, Bloch wavefunctions
 Equation of motion of electrons in periodic potentials
 Effective mass
 Electrons and holes, group velocity
 Metals, semiconductors, insulators

Semiconductors
 Direct and indirect band gap semiconductors
 Donors and acceptors in the hydrogenic approximation, effective Bohr radius, ionization energy
 Electron and hole concentration in pure (intrinsic) semiconductors and those containing donors or acceptors
 Equation of mass action
 Calculation of position of Fermi level
 Mobility, scattering by phonons, scattering by ionized impurities
 Schottky barrier, pn junction
 Rectifier equation, photovoltaic effect, solar cell, solid state particle detector, light emitting diodes, junction lasers, transistor

Optical Properties of Solids
 Infrared absorption
 Interband optical absorption
Physics 237: Nuclei & Elementary Particles
Level: "Nuclei and Particles" by Segre
"
Introductory Nuclear Physics" by Kane
"Elements of Nuclear Physics" by Burcham
"
Introduction to HighEnergy Physics" by Perkins
"Concepts of Particle Physics" by Gottfried and Weisskopf
Prerequisites: PHYS 235

Basic tools and historical perspective
 The concept of the nucleon and the early development of nuclear physics. The forces and force laws. Nuclear size, shape, binding, and abundance. Overview of the elementary particles.
 Kinematics and transformations. The concept of cross section. Random decay law.
 The concept of symmetry and conservation laws.
 Overview of the historical development of the standard model.

Elementary nuclear physics.
 The nuclear force. The deuteron. NucleonNucleon scattering.
 The nuclear shell model.
 Collective models
 Nuclear Scattering and reactions. Scattering theory.
 Electromagnetic transitions.
 Nuclear beta decay
 Fission and alpha decay.

Elementary Particles
 Particles and antiparticles.
 Baryons and Mesons. Flavors and the quark model.
 Strong interaction selection rules. Hadronhadron interactions.
 Scattering of elementary particles.
 Leptons and the weak force.
 Lepton scattering.

Forces unification and the Standard Model.
 Symmetry violation
 The weak interactions of quarks and leptons.
 Phenomenology and the development of the electroweak model.
 Quantum Chromodynamics.

Techniques
 Energy loss of charged particles.
 Detectors
 Accelerators

Related Topics
 Astrophysics
 Cosmic ray physics