An alternative approach to study the dynamical group for the modified Pöschl-Teller potential

Shishan Dong; Shi Hai Dong

doi:10.1023/A:1016296912848

An alternative approach to study the dynamical group for the modified Pöschl-Teller potential

Shishan Dong, Shi Hai Dong

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

14 Scopus citations

Abstract

The properties of the modified Pöschl-Teller potential are outlined. The ladder operators are constructed directly from the wave functions without introducing any auxiliary variable. It is shown that these operators are associated to the SU(2) algebra. Analytical expressions for the functions sinh(αx) and (1/α)cosh(αx)d/dx are evaluated from these ladder operators. The harmonic limit for this system is discussed. The expansion of the coordinate x and the momentum p̂ from the operators of the SU(2) are also obtained.

Original language	English
Pages (from-to)	753-764
Number of pages	12
Journal	Czechoslovak Journal of Physics
Volume	52
Issue number	6
DOIs	https://doi.org/10.1023/A:1016296912848
State	Published - Jun 2002
Externally published	Yes

Keywords

Algebraic approach
Pöschl-Teller potential
SU(2) group

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title = "An alternative approach to study the dynamical group for the modified P{\"o}schl-Teller potential",

abstract = "The properties of the modified P{\"o}schl-Teller potential are outlined. The ladder operators are constructed directly from the wave functions without introducing any auxiliary variable. It is shown that these operators are associated to the SU(2) algebra. Analytical expressions for the functions sinh(αx) and (1/α)cosh(αx)d/dx are evaluated from these ladder operators. The harmonic limit for this system is discussed. The expansion of the coordinate x and the momentum {\^p} from the operators of the SU(2) are also obtained.",

keywords = "Algebraic approach, P{\"o}schl-Teller potential, SU(2) group",

author = "Shishan Dong and Dong, {Shi Hai}",

note = "Funding Information: S. H. Dong thanks Prof. A. Frank for his hospitality at UNAM. This work is supported by CONACyT, Mexico, under project 32397-E.",

year = "2002",

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volume = "52",

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T1 - An alternative approach to study the dynamical group for the modified Pöschl-Teller potential

AU - Dong, Shishan

AU - Dong, Shi Hai

N1 - Funding Information: S. H. Dong thanks Prof. A. Frank for his hospitality at UNAM. This work is supported by CONACyT, Mexico, under project 32397-E.

PY - 2002/6

Y1 - 2002/6

N2 - The properties of the modified Pöschl-Teller potential are outlined. The ladder operators are constructed directly from the wave functions without introducing any auxiliary variable. It is shown that these operators are associated to the SU(2) algebra. Analytical expressions for the functions sinh(αx) and (1/α)cosh(αx)d/dx are evaluated from these ladder operators. The harmonic limit for this system is discussed. The expansion of the coordinate x and the momentum p̂ from the operators of the SU(2) are also obtained.

AB - The properties of the modified Pöschl-Teller potential are outlined. The ladder operators are constructed directly from the wave functions without introducing any auxiliary variable. It is shown that these operators are associated to the SU(2) algebra. Analytical expressions for the functions sinh(αx) and (1/α)cosh(αx)d/dx are evaluated from these ladder operators. The harmonic limit for this system is discussed. The expansion of the coordinate x and the momentum p̂ from the operators of the SU(2) are also obtained.

KW - Algebraic approach

KW - Pöschl-Teller potential

KW - SU(2) group

UR - http://www.scopus.com/inward/record.url?scp=0036627161&partnerID=8YFLogxK

U2 - 10.1023/A:1016296912848

DO - 10.1023/A:1016296912848

M3 - Artículo

SN - 0011-4626

VL - 52

SP - 753

EP - 764

JO - Czechoslovak Journal of Physics

JF - Czechoslovak Journal of Physics

IS - 6

ER -

An alternative approach to study the dynamical group for the modified Pöschl-Teller potential

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Keywords

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