141.A58 Quantum theory of angular momentum
This course is in all assigned curricula part of the STEOP.
This course is in at least 1 assigned curriculum part of the STEOP.

2019S, VO, 2.0h, 3.0EC

Properties

  • Semester hours: 2.0
  • Credits: 3.0
  • Type: VO Lecture

Aim of course

The aim of this course is to make students acquainted with the mathematical formalism of the quantum theory of angular momentum and its applications in atomic and molecular physics. 

The knowledge of the basic quantum mechnics is a prerequisite. 

Subject of course

1. Rotation group and its irreducible representations.  Spherical harmonics; spin functions.  Wigner D-functions for rotations.   2. Addition of quantum angular momenta.  Clebsch-Gordan coefficients and the algorithm of their calculation.  3j-symbols and their symmetries. Sums involving 3j-symbols. Irreducible tensors.    3. Further adding of angular momenta: 6j-symbols and their symmetries.  Sums involving 6j-symbols.    4. The Wigner-Eckart theorem.  Calculation of matrix elements of practically important operators.    5. Adding several identical spins.  Permutation symmetry of the co-ordinate part of the wave function of a multi-particle  system and the allowed values of the total spin.     6. Application of the quantum angular momentum theory in atomic and molecular  physics (branching ratios for the channels of radiative decay of excited states;  statistical weights of states; hyperfine splitting and the Zeeman effect; ac Stark shift). 

Lecturers

Institute

Course dates

DayTimeDateLocationDescription
Tue16:00 - 18:0005.03.2019Atominstitut Bibliothek 141.A58: Quantentheorie des Drehimpulses
Tue16:00 - 18:0012.03.2019Atominstitut Bibliothek 141.A58: Quantentheorie des Drehimpulses
Tue16:00 - 18:0019.03.2019Atominstitut Bibliothek 141.A58: Quantentheorie des Drehimpulses
Mon14:00 - 16:0025.03.2019Atominstitut Bibliothek 141.A58: Quantentheorie des Drehimpulses
Tue16:00 - 18:0002.04.2019Atominstitut Bibliothek 141.A58: Quantentheorie des Drehimpulses
Tue16:00 - 18:0009.04.2019Atominstitut Bibliothek 141.A58: Quantentheorie des Drehimpulses
Tue16:00 - 18:0014.05.2019Atominstitut Bibliothek 141.A58: Quantentheorie des Drehimpulses
Mon14:00 - 16:0020.05.2019Atominstitut Bibliothek 141.A58: Quantentheorie des Drehimpulses
Tue16:00 - 18:0028.05.2019Atominstitut Bibliothek 141.A58: Quantentheorie des Drehimpulses
Tue16:00 - 18:0011.06.2019Atominstitut Bibliothek 141.A58: Quantentheorie des Drehimpulses
Tue16:00 - 18:0018.06.2019Atominstitut Bibliothek 141.A58: Quantentheorie des Drehimpulses

Course registration

Not necessary

Curricula

Literature

No lecture notes are available.

Language

English