Spectra of harmonium in a magnetic field using an initial value representation of the semiclassical propagator
Research output: Contribution to journal › Research article › Contributed › peer-review
Contributors
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
Original language | English |
---|---|
Article number | 445309 |
Number of pages | 9 |
Journal | Journal of Physics A: Mathematical and Theoretical |
Volume | 44 |
Publication status | Published - 4 Nov 2011 |
Peer-reviewed | Yes |
External IDs
WOS | 000296379400018 |
---|---|
Scopus | 80054813665 |
Keywords
Keywords
- QUANTUM-MECHANICAL SCATTERING, 2 ELECTRONS, WAVE-EQUATION, DYNAMICS, OSCILLATOR, APPROXIMATIONS, DIMENSIONS, SYSTEMS, STATES, SPACE