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| TFFY54 | Quantum Mechanics, 4 p (sw) /Kvantmekanik/ Advancement level: C | |
| Aim: The course should give a deepened understanding of Quantum Mechanics and its applications.Prerequisites: TFFY17 Modern Physics Y, TFFY43 Analytical Mechanics are recommendedSupplementary courses: TFFY58 Quantum Dynamics, TFFY70 Physics of Condensed matter I, TFFY73 Physics of Condensed Matter II, TFFY27 Elementary Particle Physics.Course organization: The course is divided in lectures and related problem solving sessions.Course content: Historical background. Wave-particle dualism. Bohr's complementary principle. Wave packets. Bohr's correspondence principle. "Motivation" of the time dependent Schrödinger equation. The continuity equation. Probability current density. Expectation value and standard deviation. Conservative systems. Time-independent Schrödinger equation. The particle in the box as an example of an exactly solvable system. Stationary and non-stationary states. The Dirac delta function. P-representation. State space. Hermitian operators and observables. Rigorous proof of the uncertainity principle. The equation of motion for averages according to Heisenberg. Constants of motion in quantum mechanics. Heisenberg's matrix representation. Ehrenfest's theorem. The postulates of quantum mechanics. Harmonic oscillator with "orthodox" method and operator method. Spherical symmetric potential and the radial equation. The hydrogen atom. Spin in matrix formulation. Introduction to approximate methods. Time-independent non-degenerate perturbation theory. Degenerate perturbation theory. The variational method (Ritz). Applications to the heliumatom (many-electron system).Course literature: B. H. Bransden and C. J. Joachain, Quantum Mechanics, second edition, Prentice Hall 2000. | ||
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