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Bulgarian Journal of Physics
Print: 1310-0157 Online: 1314-2666
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RECOGNIZED BY THE EUROPEAN PHYSICAL SOCIETY 
Bulg. J. Phys. vol.16 no.3 (1989), pp. 264-267
Analytical Approximate Eigenvalues of Bounded Quantum Systems
D.A. Estrin, F.M. Fernandez, E.A. Castro
Instituto de Investigaciones Fisicoquimicas Teóricas y Aplicadas (IN/FTA), División Quimica Teórica, Sucursal 4, Casilla de Correo 16, (1900) La Plata, Argentina
go backInstituto de Investigaciones Fisicoquimicas Teóricas y Aplicadas (IN/FTA), División Quimica Teórica, Sucursal 4, Casilla de Correo 16, (1900) La Plata, Argentina
Abstract. A general systematic way of obtaining analytical approximate expressions for the eigenvalues of bounded quantum systems is proposed. The method is based on a nonlinear transformation of the perturbation parameter that leads to improved perturbation series. The bounded harmonic oscillator is discussed as an illustrative example.