Excitations of a nonstationary asymmetrical singular oscillator

descriptionPublicationkeyboard_double_arrow_right Article 01 Nov 1974 English Publisher:Springer Science and Business Media LLCJournal:Il Nuovo Cimento B Series 11, volume 24, pages 46-56 (eissn: 1826-9877,

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Authors: V. V. Dodonov; I. A. Malkin; V. I. Man’ko;

doi: 10.1007/bf02724031

Excitations of a nonstationary asymmetrical singular oscillator

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Abstract

The Schrodinger equation with a new nonstationary potential of the type 1/2ω2(t)r2 +f(θ, ϕ)r−2 is solved exactly. Normalized solutions and transition amplitudes between energy eigenstates are expressed in terms of Jacobi and Laguerre polynomials. Integrals of the motion are considered.

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P.N. Lebedev Physical Institute of the Russian Academy of Sciences
Russian Federation

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