The Canonical Form of the Rabi Hamiltonian
量子物理
2009-10-30 v1 atom-ph
高能物理 - 理论
摘要
The Rabi Hamiltonian, describing the coupling of a two-level system to a single quantized boson mode, is studied in the Bargmann-Fock representation. The corresponding system of differential equations is transformed into a canonical form in which all regular singularities between zero and infinity have been removed. The canonical or Birkhoff-transformed equations give rise to a two-dimensional eigenvalue problem, involving the energy and a transformational parameter which affects the coupling strength. The known isolated exact solutions of the Rabi Hamiltonian are found to correspond to the uncoupled form of the canonical system.
引用
@article{arxiv.quant-ph/9606035,
title = {The Canonical Form of the Rabi Hamiltonian},
author = {Marek Szopa and Geert Mys and Arnout Ceulemans},
journal= {arXiv preprint arXiv:quant-ph/9606035},
year = {2009}
}
备注
17 pages, LaTeX, no figures, to appear in J.Math.Phys