Exactly solvable energy-dependent potentials

J. García-Martínez; J. García-Ravelo; J. J. Peña; A. Schulze-Halberg

doi:10.1016/j.physleta.2009.08.012

Exactly solvable energy-dependent potentials

J. García-Martínez, J. García-Ravelo, J. J. Peña, A. Schulze-Halberg

Escuela Superior de Física y Matemáticas (ESFM)

Research output: Contribution to journal › Article › peer-review

42 Scopus citations

Abstract

We introduce a method for constructing exactly-solvable Schrödinger equations with energy-dependent potentials. Our method is based on converting a general linear differential equation of second order into a Schrödinger equation with energy-dependent potential. Particular examples presented here include harmonic oscillator, Coulomb and Morse potentials with various types of energy dependence.

Original language	English
Pages (from-to)	3619-3623
Number of pages	5
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	373
Issue number	40
DOIs	https://doi.org/10.1016/j.physleta.2009.08.012
State	Published - 28 Sep 2009

Keywords

Confluent hypergeometric equation
Energy-dependent potentials
Hypergeometric equation
Schrödinger equation

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10.1016/j.physleta.2009.08.012

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title = "Exactly solvable energy-dependent potentials",

abstract = "We introduce a method for constructing exactly-solvable Schr{\"o}dinger equations with energy-dependent potentials. Our method is based on converting a general linear differential equation of second order into a Schr{\"o}dinger equation with energy-dependent potential. Particular examples presented here include harmonic oscillator, Coulomb and Morse potentials with various types of energy dependence.",

keywords = "Confluent hypergeometric equation, Energy-dependent potentials, Hypergeometric equation, Schr{\"o}dinger equation",

author = "J. Garc{\'i}a-Mart{\'i}nez and J. Garc{\'i}a-Ravelo and Pe{\~n}a, {J. J.} and A. Schulze-Halberg",

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AU - García-Martínez, J.

AU - García-Ravelo, J.

AU - Peña, J. J.

AU - Schulze-Halberg, A.

PY - 2009/9/28

Y1 - 2009/9/28

N2 - We introduce a method for constructing exactly-solvable Schrödinger equations with energy-dependent potentials. Our method is based on converting a general linear differential equation of second order into a Schrödinger equation with energy-dependent potential. Particular examples presented here include harmonic oscillator, Coulomb and Morse potentials with various types of energy dependence.

AB - We introduce a method for constructing exactly-solvable Schrödinger equations with energy-dependent potentials. Our method is based on converting a general linear differential equation of second order into a Schrödinger equation with energy-dependent potential. Particular examples presented here include harmonic oscillator, Coulomb and Morse potentials with various types of energy dependence.

KW - Confluent hypergeometric equation

KW - Energy-dependent potentials

KW - Hypergeometric equation

KW - Schrödinger equation

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U2 - 10.1016/j.physleta.2009.08.012

DO - 10.1016/j.physleta.2009.08.012

M3 - Artículo

SN - 0375-9601

VL - 373

SP - 3619

EP - 3623

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 40

ER -

Exactly solvable energy-dependent potentials

Abstract

Keywords

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