New type shift operators for circular well potential in two dimensions

被引：10

作者：

Sun, Guo-Hua ^{[1
]}

Dong, Shi-Hai ^{[1
]}

机构：

[1] Inst Politecn Nacl, Escuela Super Fis & Matemat, Unidad Profes Adolfo Lopez Mateos, Mexico City 07738, DF, Mexico

来源：

PHYSICS LETTERS A | 2010年 / 374卷 / 40期

关键词：

Factorization method; New type shift operators; Spherical potential well; EQUATIONS; SYSTEM;

D O I：

10.1016/j.physleta.2010.08.027

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

New type shift operators for circular well potential in two dimensions are identified. These so-called shift operators connect those quantum systems with the different potentials but with same energy spectrum. It should be noted that these operators depend on both the radial circular and angular variables r and yo. We find that the operators P +/- = P-x +/- P-y play the role of the shift operators. The radial linear momentum Pr = -in the angular momentum Lz = _iti4 and the Hamiltonian form a complete set of commuting operators with the SO(2) symmetry. (C) 2010 Elsevier B.V. All rights reserved.

引用

页码：4112 / 4114

页数：3

共 14 条

[1] [Anonymous], 1994, TABLES INEGRALS SERI
[2] ALGEBRAIC APPROACH TO THE MORSE OSCILLATOR
BERRONDO, M
PALMA, A
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1980, 13 (03): : 773 - 780
[3] Dong S.H., 2007, Factorization Method in Quantum Mechanics, V150, DOI DOI 10.1007/978-1-4020-5796-0
[4] The hidden symmetry for a quantum system with an infinitely deep square-well potential
Dong, SH
Ma, ZQ
[J]. AMERICAN JOURNAL OF PHYSICS, 2002, 70 (05) : 520 - 521
[5] FACTORIZATION OF SEPARABLE PARTIAL-DIFFERENTIAL EQUATIONS
HUMI, M
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1987, 20 (14): : 4577 - 4585
[6] Dilatations and factorizable equations
Humi, M
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2005, 38 (28): : 6351 - 6361
[7] THE FACTORIZATION METHOD
INFELD, L
HULL, TE
[J]. REVIEWS OF MODERN PHYSICS, 1951, 23 (01) : 21 - 68
[8] LIBOFF RL, 1980, INTRO QUANTUM MECH, P294
[9] PERELOMOV A, 1985, GEN COHERENT STATES
[10] Quantum wave packet revivals
Robinett, RW
[J]. PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2004, 392 (1-2): : 1 - 119

← 1 2 →