The hidden symmetry for a quantum system with a Pöschl-Teller-like potential

Shi Hai Dong; Guo Hua Sun; Yu Tang

doi:10.1142/S0218301303001570

The hidden symmetry for a quantum system with a Pöschl-Teller-like potential

Shi Hai Dong, Guo Hua Sun, Yu Tang

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

19 Citas (Scopus)

Resumen

The eigenvalues and eigenfunctions of the Schrödinger equation with a Pöschl-Teller (PT)-like potential are presented. A realization of the creation and annihilation operators for the wave functions is carried out. It is shown that these operators satisfy the commutation relations of an SU (1, 1) group. Closed analytical expressions are evaluated for the matrix elements of different functions, sin(ρ) and cos(ρ)d/dρ with ρ = πx/L.

Idioma original	Inglés
Páginas (desde-hasta)	809-815
Número de páginas	7
Publicación	International Journal of Modern Physics E
Volumen	12
N.º	6
DOI	https://doi.org/10.1142/S0218301303001570
Estado	Publicada - dic. 2003
Publicado de forma externa	Sí

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title = "The hidden symmetry for a quantum system with a P{\"o}schl-Teller-like potential",

abstract = "The eigenvalues and eigenfunctions of the Schr{\"o}dinger equation with a P{\"o}schl-Teller (PT)-like potential are presented. A realization of the creation and annihilation operators for the wave functions is carried out. It is shown that these operators satisfy the commutation relations of an SU (1, 1) group. Closed analytical expressions are evaluated for the matrix elements of different functions, sin(ρ) and cos(ρ)d/dρ with ρ = πx/L.",

keywords = "Matrix element, P{\"o}schl-Teller-like potential, SU/(1,1) group",

author = "Dong, {Shi Hai} and Sun, {Guo Hua} and Yu Tang",

note = "Funding Information: S.-H. Dong thanks Prof. M. Lozada-Cassou for the hospitality shown at IMP. This work is supported by CONACyT, Mexico, under project (L007E and C086A) and NEGROMEX.",

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T1 - The hidden symmetry for a quantum system with a Pöschl-Teller-like potential

AU - Dong, Shi Hai

AU - Sun, Guo Hua

AU - Tang, Yu

N1 - Funding Information: S.-H. Dong thanks Prof. M. Lozada-Cassou for the hospitality shown at IMP. This work is supported by CONACyT, Mexico, under project (L007E and C086A) and NEGROMEX.

PY - 2003/12

Y1 - 2003/12

N2 - The eigenvalues and eigenfunctions of the Schrödinger equation with a Pöschl-Teller (PT)-like potential are presented. A realization of the creation and annihilation operators for the wave functions is carried out. It is shown that these operators satisfy the commutation relations of an SU (1, 1) group. Closed analytical expressions are evaluated for the matrix elements of different functions, sin(ρ) and cos(ρ)d/dρ with ρ = πx/L.

AB - The eigenvalues and eigenfunctions of the Schrödinger equation with a Pöschl-Teller (PT)-like potential are presented. A realization of the creation and annihilation operators for the wave functions is carried out. It is shown that these operators satisfy the commutation relations of an SU (1, 1) group. Closed analytical expressions are evaluated for the matrix elements of different functions, sin(ρ) and cos(ρ)d/dρ with ρ = πx/L.

KW - Matrix element

KW - Pöschl-Teller-like potential

KW - SU/(1,1) group

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U2 - 10.1142/S0218301303001570

DO - 10.1142/S0218301303001570

M3 - Artículo

SN - 0218-3013

VL - 12

SP - 809

EP - 815

JO - International Journal of Modern Physics E

JF - International Journal of Modern Physics E

IS - 6

ER -

The hidden symmetry for a quantum system with a Pöschl-Teller-like potential

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