** **

**Relativity:** Experimentalbasis, Einstein’s postulates, Lorentz transformation, time dilation,length contraction, Doppler effect, twin paradox, relativistic momentumand energy, mass/energy, invariant mass, equivalence principle)

**Wave Mechanics:** Schrödingerequation, physical significance of the wave function, conservation ofprobability, uncertainty principle, Ehrenfest’s theorem

**Time Independent Schrödinger Equation:** separation of variables, particle in a box, statistical interpretation, energy operator, eigenvalues and eigenfunctions

**One Dimensional Potentials:** finite square well, simple harmonic oscillator, scattering and the step potential, tunneling and the square barrier,

**Principles of Quantum Mechanics:**observables and Hermitian operators, commuting operators, non-commutingoperators and the uncertainty principle, EPR, Schrödinger’s cat

**Quantum mechanics in 3 dimensions:** orbital angular momentum, hydrogen atom, Zeeman effect, spin

**Identical Particles:** multiparticle systems, multielectron atoms, quantum statistics, black-body radiation, Bose-Einstein condensation

**Other topics:** from condensed matter, particle physics, biophysics, as time allows

**Organization**

Lectures M W F 9:00 AM

Problem session or other assigned meeting

Homework (30%) Weekly problem sets

Term exam (30%)

Final exam (40%)

Text: John S. Townsend, *A modern introduction to quantum physics*

*All information is representative only, and is likely to change from year to year.*