ua nt - p h / 96 06 03 5 v 1 2 9 Ju n 19 96 The Canonical Form of the Rabi Hamiltonian
نویسنده
چکیده
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 singu-larities between zero and infinity have been removed. The canonical or Birkhoff-transformed equations give rise to a two-dimensional eigen-value 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 uncou-pled form of the canonical system.
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