Approximate analytic expression for the eigenenergies of the anharmonic oscillator V(x)=<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msup><mrow><mi mathvariant="italic">Ax</mi></mrow><mrow><mn>6</mn></mrow></msup></mrow></math>+<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msup><mrow><mi mathvariant="italic">Bx</mi></mrow><mrow><mn>2</mn></mrow></msup></mrow></math>

A. de Souza Dutra; A. S. de Castro; H. Boschi-Filho

doi:10.1103/PhysRevA.51.3480

Approximate analytic expression for the eigenenergies of the anharmonic oscillator V(x)= ${Ax}^{6}$ + ${Bx}^{2}$

A. de Souza Dutra, A. S. de Castro, and H. Boschi-Filho

Phys. Rev. A 51, 3480 – Published 1 May 1995

Abstract

An approximate analytic expression for the eigenenergies of the anharmonic oscillator V(x)= ${Ax}^{6}$ + ${Bx}^{2}$ is introduced, starting from particular analytic solutions which are valid when certain relations between the parameters A and B are held.

Received 1 July 1994

DOI:https://doi.org/10.1103/PhysRevA.51.3480

Authors & Affiliations

A. de Souza Dutra and A. S. de Castro

Departmento de Física e Química, Universidade Estadual Paulista, Campus de Guaratinguetá, Caixa Postal 205, 12500-000 Guaratinguetá, Sao Paulo, Brazil

H. Boschi-Filho

Instituto de Física, Universidade Federal do Rio de Janeiro, Cidade Universitária, Ilha do Fundão, Caixa Postal 68528, 21945-970 Rio de Janeiro, Rio de Janeiro, Brazil

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Vol. 51, Iss. 5 — May 1995

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