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Quantum Mechanics I

 

Lecturers:  

Requirements:  

Courses:

Credite points:  9 CP (lecture + exercises + exam)

Examination: oral

Table of contents:

  • Insufficiency of classical physics
    • photo effect, Compton effect
    • particle-wave dualism
  • Wave mechanics
    • wave functions, super positional principle
    • Schrödinger equation, dispersion etc.
    • Expectation value, … operator
    • commutators, adjoint operators
    • Fourier transformation
    • stationary states, eigenvalues, eigenfunctions, uncertinity principle
  • One dimensional examples
    • harmonic oscillator etc.
    • tunnel effect, bounded and scattered states
  • Introduction of internal degrees of freedom (explained by light (photons))
  • Axiomatic formalism of QM
    • axioms (Hilbert spaces, operators, measurement, time evolution)
    • projector algebra
    • representation of QM (Heisenberg and Schrödinger picture)
    • symmetry transformations and conserved quantities
  • 3-dimensional Problems
    • angular momentum
    • Coulomb potential
    • hydrogen atom
    • addition of angular momentums (Clebsch Gordon coefficients)
  • Scattering theory
    • cross section, scattering amplitude
    • Born approximation
  • Spin and identic particles
    • charged particle in EM-field (Stern-Gerlach exp)
    • spin formalism (especially S = 1/2)
  • Time independent perturbation theory
    • non degenerated states
    • degenerated states


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  • | Letzte Änderung: 26.09.2017
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