|
| related topics |
| {equation, function, exp} |
| {operator, operators, space} |
| {group, space, representation} |
| {let, theorem, proof} |
| {state, states, coherent} |
| {level, atom, field} |
| {energy, gaussian, time} |
| {theory, mechanics, state} |
| {energy, state, states} |
|
The Canonical Form of the Rabi Hamiltonian
Marek Szopa, Geert Mys, Arnout Ceulemans
abstract: 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.
- oai_identifier:
- oai:arXiv.org:quant-ph/9606035
- categories:
- quant-ph atom-ph hep-th
- comments:
- 17 pages, LaTeX, no figures, to appear in J.Math.Phys
- doi:
- 10.1063/1.531711
- arxiv_id:
- quant-ph/9606035
- journal_ref:
- J.Math.Phys. 37 (1996) 5402-5411
- created:
- 1996-06-29
Full article ▸
|
|
| related documents |
| 9903028v2 |
| 0604167v1 |
| 0404102v1 |
| 0012117v1 |
| 9901054v1 |
| 0609213v1 |
| 9905002v1 |
| 9902057v2 |
| 9604009v2 |
| 9910051v1 |
| 0211112v2 |
| 9602012v1 |
| 0004065v2 |
| 0303154v1 |
| 0211168v5 |
| 0509135v2 |
| 9611019v1 |
| 0302107v1 |
| 9912032v1 |
| 0301138v2 |
| 0601195v1 |
| 9709021v3 |
| 0602058v1 |
| 0310143v1 |
| 0006078v2 |
|