A new strategy to find bound states in anharmonic oscillators

Details A new strategy to find bound states in anharmonic oscillators A new strategy to find bound states in anharmonic oscillators

2004-11-29

arxiv.org/abs/quant-ph/0411198v1

in Fundamental Physics Meeting "Alberto Galindo", R. F. Alvarez-Estrada, A. Dobado, L. A. Fernandez, M. A. Martin-Delgado, A.

Physics

Quantum Physics

A cotribution to a book dedicated to Prof. Alberto Galindo, on occasion of his seventieth birthday

Scientific paper

A very simple procedure to calculate eigenenergies of quantum anharmonic oscillators is presented. The method, exact but for numerical computations, consists merely in requiring the vanishing of the Wronskian of two solutions which are regular respectively at the origin and at infinity. The first one can be represented by its series expansion; for the second one, an asymptotic expansion is available. The procedure is illustrated by application to quartic and sextic oscillators.

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