Syllabi: Syllabus QM I, Syllabus QM II (notes -in progress- based on Griffiths text book)
Introduction: intro, experiments
Wave functions: states and wave functions, normalization, superposition, Schrodinger Equation, expectation values, uncertainty principle
Time-independent Schrodinger Equation: intro, infinite square well, orthonormal and complete wave functions, infinite square well - general solutions, harmonic oscillator: part 1, part 2, part 3, free particle, bound and scattering states, Dirac delta well, finite square well
Formalism: intro, determinate states, Generalized Statistical Interpretation: part 1, part 2, Hilbert space
QM in 3D: Schrodinger Equation in 3D, Hydrogen atom, angular momentum, spin, electromagnetic interactions
Identical particles: two-particle systems, bosons and fermions, geometrical consequence of symmetrization, Generalized Symmetrization Principle, atoms, the periodic table, intro to the Quantum Theory of Solids
Symmetries and conservation laws: translational symmetry, conservation laws, parity, rotational symmetry, rotations in time
Time-independent perturbation theory:
The variational principle:
The WKB approximation:
Scattering:
Quantum dynamics: