Spectra of harmonium in a magnetic field using an initial value representation of the semiclassical propagator
Publikation: Beitrag in Fachzeitschrift › Forschungsartikel › Beigetragen › Begutachtung
Beitragende
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.
Details
Originalsprache | Englisch |
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Aufsatznummer | 445309 |
Seitenumfang | 9 |
Fachzeitschrift | Journal of Physics A: Mathematical and Theoretical |
Jahrgang | 44 |
Publikationsstatus | Veröffentlicht - 4 Nov. 2011 |
Peer-Review-Status | Ja |
Externe IDs
WOS | 000296379400018 |
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Scopus | 80054813665 |
Schlagworte
Schlagwörter
- QUANTUM-MECHANICAL SCATTERING, 2 ELECTRONS, WAVE-EQUATION, DYNAMICS, OSCILLATOR, APPROXIMATIONS, DIMENSIONS, SYSTEMS, STATES, SPACE