A realization of dynamic group for an electron in a uniform magnetic field

Shishan Dong; Shi Hai Dong

doi:10.1142/S0218301302000831

A realization of dynamic group for an electron in a uniform magnetic field

Shishan Dong, Shi Hai Dong

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

12 Citas (Scopus)

Resumen

The eigenvalues and eigenfunctions of the Schrödinger equation with a non-relativistic electron in a uniform magnetic field are presented. A realization of the creation and annihilation operators for the radial 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 ρ² and ρd/dρ.

Idioma original	Inglés
Páginas (desde-hasta)	265-271
Número de páginas	7
Publicación	International Journal of Modern Physics E
Volumen	11
N.º	4
DOI	https://doi.org/10.1142/S0218301302000831
Estado	Publicada - ago. 2002
Publicado de forma externa	Sí

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title = "A realization of dynamic group for an electron in a uniform magnetic field",

abstract = "The eigenvalues and eigenfunctions of the Schr{\"o}dinger equation with a non-relativistic electron in a uniform magnetic field are presented. A realization of the creation and annihilation operators for the radial 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 ρ2 and ρd/dρ.",

keywords = "Ladder operators, Matrix elements, SU(1,1) group",

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

note = "Funding Information: Shi-Hai Dong would like to thank Prof. A. Frank for the hospitality shown at UNAM. This work is supported by CONACyT, Mexico, under project 32397-E and the National Natural Science Foundation of China.",

year = "2002",

month = aug,

doi = "10.1142/S0218301302000831",

language = "Ingl{\'e}s",

volume = "11",

pages = "265--271",

journal = "International Journal of Modern Physics E",

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TY - JOUR

T1 - A realization of dynamic group for an electron in a uniform magnetic field

AU - Dong, Shishan

AU - Dong, Shi Hai

N1 - Funding Information: Shi-Hai Dong would like to thank Prof. A. Frank for the hospitality shown at UNAM. This work is supported by CONACyT, Mexico, under project 32397-E and the National Natural Science Foundation of China.

PY - 2002/8

Y1 - 2002/8

N2 - The eigenvalues and eigenfunctions of the Schrödinger equation with a non-relativistic electron in a uniform magnetic field are presented. A realization of the creation and annihilation operators for the radial 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 ρ2 and ρd/dρ.

AB - The eigenvalues and eigenfunctions of the Schrödinger equation with a non-relativistic electron in a uniform magnetic field are presented. A realization of the creation and annihilation operators for the radial 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 ρ2 and ρd/dρ.

KW - Ladder operators

KW - Matrix elements

KW - SU(1,1) group

UR - http://www.scopus.com/inward/record.url?scp=0036669878&partnerID=8YFLogxK

U2 - 10.1142/S0218301302000831

DO - 10.1142/S0218301302000831

M3 - Artículo

SN - 0218-3013

VL - 11

SP - 265

EP - 271

JO - International Journal of Modern Physics E

JF - International Journal of Modern Physics E

IS - 4

ER -

A realization of dynamic group for an electron in a uniform magnetic field

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