Course Outline
Quantum Mechanics
QUANTUM MECHANICS
Physical background
- Photoelectric effect. Electrons in atoms and line spectra. Particle diffraction. [1]
Schr¨odinger equation and solutions
- De Broglie waves. Schr¨odinger equation. Superposition principle. Probability interpretation, density and current. [2]
- Stationary states. Free particle, Gaussian wave packet. Motion in 1-dimensional potentials, parity. Potential step, square well and barrier. Harmonic oscillator. [4]
Observables and expectation values
- Position and momentum operators and expectation values. Canonical commutation relations. Uncertainty principle. [2]
- Observables and Hermitian operators. Eigenvalues and eigenfunctions. Formula for expectation value. [2]
Hydrogen Atom
- Spherically symmetric wave functions for spherical well and hydrogen atom. Orbital angular momentum operators. General solution of hydrogen atom. [5]
Appropriate books
- Feynman, Leighton and Sands vol. 3 Ch 1-3 of the Feynman lectures on Physics. Addison-Wesley 1970
- † S. Gasiorowicz Quantum Physics. Wiley 2003
- P.V. Landshoff, A.J.F. Metherell and W.G Rees Essential Quantum Physics. Cambridge University Press 1997
- † A.I.M. Rae Quantum Mechanics. Institute of Physics Publishing 2002
- L.I. Schiff Quantum Mechanics. McGraw Hill 1968
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