Hannover 2003 – wissenschaftliches Programm
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A: Atomphysik
A 11: Postersitzung 1
A 11.19: Poster
Dienstag, 25. März 2003, 16:00–18:30, Poster
Quantum adiabatic invariants for the combined trap — •Viorica Gheorghe1,2, Alexandru Cezar Gheorghe3, and Günther Werth1 — 1Institut für Physik, Johannes-Gutenberg Universität, D-55099, Mainz, Deutschland — 2National Institute for Laser, Plasma and Radiation, Bucharest, Romania — 3National Institute of Physics and Nuclear Engineering, Bucharest, Romania
We apply the techniques of adiabatic invariants and operator constants of motion [1] to the quantum dynamics of a charged particle confined in a combined trap, and construct suitable linear and quadratic integrals of motion. With the help of these operators we derive the coherent states, the quasienergy wavefunctions and the Wigner functions for a charged particle in a combined trap. Moreover, we obtain dispersions, correlation coefficients and geometric phases. The obtained results agree with the coherent state approach from [2].
[1] G. Schrade, V.I. Man’ko, W.P. Schleich, and R.J. Glauber: Quantum Semiclass. Opt. 7, 307 (1995)
[2] V.N. Gheorghe and G. Werth: EPJ D 10, 197 (2000)