Algebraic approach to the position-dependent mass schrödinger equation for a singular oscillator

Shi Hai Dong; J. J. Peņa; C. Pacheco-GarcíA; J. García-Ravelo

doi:10.1142/S0217732307021470

Algebraic approach to the position-dependent mass schrödinger equation for a singular oscillator

Shi Hai Dong, J. J. Peņa, C. Pacheco-GarcíA, J. García-Ravelo

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62 Scopus citations

Abstract

We construct a singular oscillator Hamiltonian with a position-dependent effective mass. We find that an su(1, 1) algebra is the hidden symmetry of this quantum system and the isospectral potentials V(x) depend on the different choices of the m(x). The complete solutions are also presented by using this Lie algebra.

Original language	English
Pages (from-to)	1039-1045
Number of pages	7
Journal	Modern Physics Letters A
Volume	22
Issue number	14
DOIs	https://doi.org/10.1142/S0217732307021470
State	Published - 10 May 2007

Keywords

Algebraic method
Dynamic group su(1, 1)
Position-dependent mass

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10.1142/S0217732307021470

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title = "Algebraic approach to the position-dependent mass schr{\"o}dinger equation for a singular oscillator",

abstract = "We construct a singular oscillator Hamiltonian with a position-dependent effective mass. We find that an su(1, 1) algebra is the hidden symmetry of this quantum system and the isospectral potentials V(x) depend on the different choices of the m(x). The complete solutions are also presented by using this Lie algebra.",

keywords = "Algebraic method, Dynamic group su(1, 1), Position-dependent mass",

author = "Dong, {Shi Hai} and Peņa, {J. J.} and C. Pacheco-Garc{\'i}A and J. Garc{\'i}a-Ravelo",

note = "Funding Information: J. J. Pe{\~n}a would like to thank the hospitality of ESFM, IPN. This work was partially supported by COFAA-IPN and project 20062088-SIP-IPN, Mexico.",

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T1 - Algebraic approach to the position-dependent mass schrödinger equation for a singular oscillator

AU - Dong, Shi Hai

AU - Peņa, J. J.

AU - Pacheco-GarcíA, C.

AU - García-Ravelo, J.

N1 - Funding Information: J. J. Peña would like to thank the hospitality of ESFM, IPN. This work was partially supported by COFAA-IPN and project 20062088-SIP-IPN, Mexico.

PY - 2007/5/10

Y1 - 2007/5/10

N2 - We construct a singular oscillator Hamiltonian with a position-dependent effective mass. We find that an su(1, 1) algebra is the hidden symmetry of this quantum system and the isospectral potentials V(x) depend on the different choices of the m(x). The complete solutions are also presented by using this Lie algebra.

AB - We construct a singular oscillator Hamiltonian with a position-dependent effective mass. We find that an su(1, 1) algebra is the hidden symmetry of this quantum system and the isospectral potentials V(x) depend on the different choices of the m(x). The complete solutions are also presented by using this Lie algebra.

KW - Algebraic method

KW - Dynamic group su(1, 1)

KW - Position-dependent mass

UR - http://www.scopus.com/inward/record.url?scp=34248143861&partnerID=8YFLogxK

U2 - 10.1142/S0217732307021470

DO - 10.1142/S0217732307021470

M3 - Artículo

SN - 0217-7323

VL - 22

SP - 1039

EP - 1045

JO - Modern Physics Letters A

JF - Modern Physics Letters A

IS - 14

ER -

Algebraic approach to the position-dependent mass schrödinger equation for a singular oscillator

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Keywords

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