Laplace-Runge-Lenz vector, ladder operators and supersymmetry

R. D. Mota; J. García; V. D. Granados

doi:10.1088/0305-4470/34/10/308

Laplace-Runge-Lenz vector, ladder operators and supersymmetry

R. D. Mota, J. García, V. D. Granados

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

11 Scopus citations

Abstract

We show that the Laplace-Runge-Lenz vector (LRLV) generates the Infeld-Hull radial factorization and the pair of isospectral Hamiltonians for the non-relativistic Kepler-Coulomb quantum problem. To do this we only use the LRLV and arguments of general soundness. Finally, the well known restrictions on the orbital angular momentum and the principal quantum numbers are rederived from the corresponding ladder operators.

Original language	English
Pages (from-to)	2041-2049
Number of pages	9
Journal	Journal of Physics A: Mathematical and General
Volume	34
Issue number	10
DOIs	https://doi.org/10.1088/0305-4470/34/10/308
State	Published - 16 Mar 2001
Externally published	Yes

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abstract = "We show that the Laplace-Runge-Lenz vector (LRLV) generates the Infeld-Hull radial factorization and the pair of isospectral Hamiltonians for the non-relativistic Kepler-Coulomb quantum problem. To do this we only use the LRLV and arguments of general soundness. Finally, the well known restrictions on the orbital angular momentum and the principal quantum numbers are rederived from the corresponding ladder operators.",

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AU - García, J.

AU - Granados, V. D.

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Y1 - 2001/3/16

N2 - We show that the Laplace-Runge-Lenz vector (LRLV) generates the Infeld-Hull radial factorization and the pair of isospectral Hamiltonians for the non-relativistic Kepler-Coulomb quantum problem. To do this we only use the LRLV and arguments of general soundness. Finally, the well known restrictions on the orbital angular momentum and the principal quantum numbers are rederived from the corresponding ladder operators.

AB - We show that the Laplace-Runge-Lenz vector (LRLV) generates the Infeld-Hull radial factorization and the pair of isospectral Hamiltonians for the non-relativistic Kepler-Coulomb quantum problem. To do this we only use the LRLV and arguments of general soundness. Finally, the well known restrictions on the orbital angular momentum and the principal quantum numbers are rederived from the corresponding ladder operators.

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DO - 10.1088/0305-4470/34/10/308

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EP - 2049

JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

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ER -

Laplace-Runge-Lenz vector, ladder operators and supersymmetry

Abstract

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