Subsections
[Cr:4, Lc:3, Tt:1, Lb:0]
- Classical vs. quantum Mechanics, Simple 2-state QM system. Hilbert
Spaces, Operators. Observables - Compatible Observables, Tensor
Product Spaces, Uncertainty Relations. Position, Momentum and
Translation. Eigenvalue Problems. Emphasis on Linear Vector Spaces
from a mathematical point of view.
- Time Evolution (Quantum Dynamics). Schroedinger, Heisenberg and
Interaction Pictures; Energy-time Uncertainty, Interpretation of
Wavefunction. Quantum Particles in Potential. Harmonic oscillator.
- Angular Momentum. Rotation in Quantum mechanics.
vs.
.
Spherical Harmonics. Addition of Angular Momenta.
- Single electron atoms: Spherically symmetric potentials, spherical
harmonics, Hydrogen atom problem, solution of Schroedinger equation,
energy levels and eigenfunctions, orbital angular momentum, Hydrogenic
atoms.
- L. I. Schiff, Quantum mechanics, 03rd edition, McGrawHill
Publishers (1968).
- J. J. Sakurai, Modern quantum mechanics, Addison-Wesley (1993).
- C. Cohen-Tannoudji, Quantum mechanics Vols 1 and 2,
Wiley-Interscience (2006).
- J. D. Bjorken and S. D. Drell, Relativistic quantum mechanics,
McGrawHill (1998).
- R. Shankar, Principles of quantum mechanics, 02nd edition,
Springer (1994).
- W. Greiner and B. Muller, Quantum mechanics - Symmetries, 02nd
edition, Springer (2004).
