Exact quantization formula for affine linearly energy-dependent potentials

• Authors: Axel Schulze-Halberg
• Languages of publication: EN

Abstracts

EN

We construct an exact quantization formula for Schrödinger equations with potentials thatdepend affine linearly on the energy, that is, they contain a term linear in the energy plus an energy-independent term. If such an energy-dependent potential admits a discrete spectrum and its ground state solution is known, our formula predicts the complete energy spectrum in exact form.

Keywords

EN

energy-dependent potential; exact quantization formula

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2011
• Volume: 9
• Issue: 1
• Pages: 57-64

Dates

published

1 - 2 - 2011

online

24 - 9 - 2010

Contributors

author

Axel Schulze-Halberg

• Department of Mathematics and Actuarial Science, Indiana University Northwest, 3400 Broadway, Gary, IN, 46408, USA

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Identifiers

DOI

10.2478/s11534-010-0034-8