Exact quantization formula for affine linearly energy-dependent potentials

• Autorzy: Axel Schulze-Halberg
• Języki publikacji: EN

Abstrakty

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.

Słowa kluczowe

EN

energy-dependent potential; exact quantization formula

• Czasopismo: Open Physics
• Rocznik: 2011
• Tom: 9
• Numer: 1
• Strony: 57-64

Daty

wydano

2011-02-01

online

2010-09-24

Twórcy

autor

Axel Schulze-Halberg

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

Bibliografia

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Identyfikatory

DOI

10.2478/s11534-010-0034-8