Quantum Mechanics

Foundations

1. Historical Foundationsblackbody radiation, photoelectric effect, Bohr model, wave-particle duality6.5–11.5 h
2. Wavefunctions & ProbabilityBorn rule, normalization, probability currents6.5–11.5 h
3. Schrodinger Equationtime-dependent and time-independent forms, stationary states6.5–11.5 h
4. Operators & Observablesposition, momentum, energy; Hermitian operators, commutators6.5–11.5 h
5. Expectation Values & Measurementspostulates of QM, collapse, compatibility of observables6.5–11.5 h
6. Uncertainty PrincipleHeisenberg relation, minimum uncertainty states, interpretation6.5–11.5 h

1D Systems & Oscillator

1. Infinite & Finite Wellsbound states, parity, tunneling (barrier), scattering6.5–11.5 h
2. Harmonic Oscillatorladder operators, energy levels, coherent states6.5–11.5 h
3. Free Particle & Wave Packetsplane waves, group velocity, spreading of packets6.5–11.5 h

3D Systems & Spin

1. Schrodinger Equation in 3Dseparation, central potentials, angular equation6.5–11.5 h
2. Angular Momentumcommutators, eigenvalues, ladder operators, spherical harmonics6.5–11.5 h
3. Spinspin-1/2, Pauli matrices, Stern-Gerlach, spin-orbit coupling6.5–11.5 h
4. Hydrogen Atomradial equation, energy spectrum, degeneracy, orbitals6.5–11.5 h

Advanced Methods & Topics

1. Time-Independent Perturbation Theorynon-degenerate and degenerate cases, applications6.5–11.5 h
2. Variational Principle & WKBapproximation methods, semi-classical limit6.5–11.5 h
3. Time-Dependent PerturbationsFermi's golden rule, transition rates, selection rules6.5–11.5 h
4. Identical Particlessymmetrization, exchange symmetry, Pauli exclusion, degeneracy6.5–11.5 h
5. Scattering Theory Introcross sections, partial waves, Born approximation6.5–11.5 h
6. Entanglement & Quantum FoundationsEPR, Bell's theorem, nonlocality, decoherence intro6.5–11.5 h