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

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

12 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	265-271
Number of pages	7
Journal	International Journal of Modern Physics E
Volume	11
Issue number	4
DOIs	https://doi.org/10.1142/S0218301302000831
State	Published - Aug 2002
Externally published	Yes

Keywords

Ladder operators
Matrix elements
SU(1,1) group

Access to Document

10.1142/S0218301302000831

Cite this

@article{bba4f40026c44a45bc55fd0f2376c7c5,

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",

issn = "0218-3013",

number = "4",

}

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

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this