Quantum anharmonic oscillators: a new approach

Abstract

The determination of the eigenenergies of a quantum anharmonic oscillator consists merely in finding the zeros of a function of the energy, namely the Wronskian of two solutions of the Schroedinger equation which are regular respectively at the origin and at infinity. We show in this paper how to evaluate that Wronskian exactly, except for numerical rounding errors. The procedure is illustrated by application to the gx2+x2N (N a positive integer) oscillator.

10 pages

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Cited by in corpus (6)

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• The quantum double well anharmonic oscillator in an external field
• Eigenvalue bounds for polynomial central potentials in d dimensions