Projects / Programmes
Quantum dynamics of nonlinear hamiltonian systems
| Code |
Science |
Field |
Subfield |
| 1.02.02 |
Natural sciences and mathematics |
Physics |
Theoretical physics |
| Code |
Science |
Field |
| P190 |
Natural sciences and mathematics |
Mathematical and general theoretical physics, classical mechanics, quantum mechanics, relativity, gravitation, statistical physics, thermodynamics |
Chaos, Hamiltonian system, Quantum chaos, Billiard, Mixed phase space, Quantum Poincare mapping, Many body system, Quantum ergodicity, Quantum mixing, Dynamical localization
Researchers (1)
| no. |
Code |
Name and surname |
Research area |
Role |
Period |
No. of publicationsNo. of publications |
| 1. |
12279 |
PhD Tomaž Prosen |
Physics |
Head |
1998 - 2001 |
0 |
Organisations (1)
Abstract
The purpose of the project is twofold: (i)
development of powerful numerical and analytical tools for the quantization
of generic Hamiltonian systems which chaotic or mixed (regular-chaotic) classical
dynamics. (ii) Application of these methods for detailed understanding of
correspondence between classical dynamics (geometry and dynamics of classical
orbits in phase space) and quantum dynamics (time evolution of quantum states,
statistical properties of quantum energy spectra, matrix elements or transition
probabilities, structure of typical eigenstates, etc.).
A special emphasis is given to (i) application of the methods of quantum chaos
in realistic and experimentally accessible systems, e.g. hydrogen atom in strong
magnetic field, helium atom, diatomic molecules, and to (ii) study of quantum chaos
in systems with three or more degrees of freedom, which do have essentially different
topology of classical phase space, but which due to lack of efficient numerical
methods have not yet been studied in quantum mechanics.
A special care is given to non-linear many body dynamical systems, or quantum fields,
and the problem of thermodynamic limit and validity of standard assumptions of
statistical physics.
