On the solvability of the quantum Rabi model and its 2-photon and two-mode generalizations
Journal Article
·
· Journal of Mathematical Physics
- School of Mathematics and Physics, The University of Queensland, Brisbane, Qld 4072 (Australia)
We study the solvability of the time-independent matrix Schrödinger differential equations of the quantum Rabi model and its 2-photon and two-mode generalizations in Bargmann Hilbert spaces of entire functions. We show that the Rabi model and its 2-photon and two-mode analogs are quasi-exactly solvable. We derive the exact, closed-form expressions for the energies and the allowed model parameters for all the three cases in the solvable subspaces. Up to a normalization factor, the eigenfunctions for these models are given by polynomials whose roots are determined by systems of algebraic equations.
- OSTI ID:
- 22217886
- Journal Information:
- Journal of Mathematical Physics, Vol. 54, Issue 10; Other Information: (c) 2013 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
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