The rotating harmonic oscillator eigenvalue problem. II. Analytic perturbation theory
- 1 August 1983
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 24 (8) , 2089-2094
- https://doi.org/10.1063/1.525961
Abstract
The theory of self-adjoint analytic families is applied to the rotating harmonic oscillator Hamiltonian in L2(0,∞) to obtain weak and strong coupling expansions of the eigenvalues. Various estimates on the radius of convergence of the weak coupling expansion are obtained. The strong coupling expansion is shown to be an asymptotic series which, with the neglect of exponentially small terms, is expressible in terms of a simple formal perturbation of the ordinary harmonic oscillator Hamiltonian in L2(−∞,∞).Keywords
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