Grossmann, Frank and Kramer, Tobias (2011) Spectra of harmonium in a magnetic field using an initial value representation of the semiclassical propagator. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 44 (44): 445309. ISSN 1751-8113, 1751-8121
Full text not available from this repository. (Request a copy)Abstract
For two Coulombically interacting electrons in a quantum dot with harmonic confinement and a constant magnetic field, we show that time-dependent semiclassical calculations using the Herman-Kluk initial value representation of the propagator lead to eigenvalues of the same accuracy as WKB calculations with a Langer correction. The latter are restricted to integrable systems, however, whereas the time-dependent initial value approach allows for applications to high-dimensional, possibly chaotic dynamics and is extendable to arbitrary shapes of the potential.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | QUANTUM-MECHANICAL SCATTERING; 2 ELECTRONS; WAVE-EQUATION; DYNAMICS; OSCILLATOR; APPROXIMATIONS; DIMENSIONS; SYSTEMS; STATES; SPACE; |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics > Alumni or Retired Professors > Group Tobias Kramer |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 27 May 2020 05:37 |
| Last Modified: | 27 May 2020 05:37 |
| URI: | https://pred.uni-regensburg.de/id/eprint/19822 |
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