1996/11/01 by M. Szopa, G. Mys, A. Ceulemans
Physics and Astronomy · Mathematics · #Quantum Mechanics and Non-Hermitian Physics #Nonlinear Waves and Solitons #Spectral Theory in Mathematical Physics
paper · doi:10.1063/1.531711
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.