Lecturer:
Course Type:
PhD Course
Academic Year:
2013-2014
Period:
October-November
Duration:
20 h
Description:
- scratch course of spectral theory of operators on Hilbert spaces
- a reminder of classical probability
- fundamental postulates of quantum physics
- Heisenberg uncertainty principle
- the von Neumann-Lüders postulate, and the issue of individual states
- symmetries and the Wigner-Kadison theorem
- symmetry groups
- projective representations
- eliminability of multipliers for one parameter groups
- Weyl relations
- von Neumann uniqueness
- CCR and uncertainties
- the free particle
- the harmonic oscillator
- coherent states
- Bargmann representation
- the Hydrogen atom
- EPR and entanglement
Research Group:
Location:
A-136