PHYSICS 714
Quantum Mechanics 1
Introduction to non-relativistic quantum mechanics. Topics include experimental foundations, wave-particle duality, Schroedinger equation, wave function interpretation, the state vector, Hilbert space, Dirac notation, Heisenberg uncertainty principle, one-dimensional quantum problems, tunneling, the harmonic oscillator, three-dimensional quantum problems, angular momentum, the hydrogen atom, spin, angular momentum addition, identical particles, elementary perturbation theory, fine/hyperfine structure of hydrogen, dynamics of two-level systems, and applications. An assignment will ask the student to relate this course to their research. Department consent required.
Topics
- experimental foundations
- wave-particle duality
- Schroedinger equation
- wave function interpretation
- the state vector
- Hilbert space
- Dirac notation
- Heisenberg uncertainty principle
- one-dimensional quantum problems
- tunneling
- the harmonic oscillator
- three-dimensional quantum problems
- angular momentum
- the hydrogen atom
- spin
- angular momentum addition
- identical particles
- elementary perturbation theory
- fine/hyperfine structure of hydrogen
- dynamics of two-level systems
- and applications
Topics explicitly listed in official catalogue description
Sources
- Course catalogue ↗2026-2027