THE QUANTIZATION RULE AND MASLOV INDEX

被引:1
作者
Gu, Xiao-Yan [1 ]
机构
[1] E China Univ Sci & Technol, Dept Phys, Shanghai 200237, Peoples R China
来源
MODERN PHYSICS LETTERS B | 2010年 / 24卷 / 22期
基金
中国国家自然科学基金;
关键词
Schrodinger equation; quantization rule; Maslov index; Langer modification; D dimensions; SUPERSYMMETRIC QUANTUM-MECHANICS; SHAPE-INVARIANT POTENTIALS; L-STATE SOLUTIONS; SCHRODINGER-EQUATION; WKB APPROXIMATION; WAVE-EQUATION; SYMMETRY;
D O I
10.1142/S021798491002464X
中图分类号
O59 [应用物理学];
学科分类号
摘要
Within extensions of the new quantization rule approach in arbitrary dimensions, the Maslov indices and energy spectra of some exactly solvable potentials are presented. We find that the Maslov index for the harmonic oscillator in three dimensions agrees well with those obtained by other methods.
引用
收藏
页码:2303 / 2316
页数:14
相关论文
共 43 条
[1]   HIGHER-ORDER WKB APPROXIMATIONS IN SUPERSYMMETRIC QUANTUM-MECHANICS [J].
ADHIKARI, R ;
DUTT, R ;
KHARE, A ;
SUKHATME, UP .
PHYSICAL REVIEW A, 1988, 38 (04) :1679-1686
[2]   SHAPE INVARIANCE AND THE SWKB SERIES [J].
BARCLAY, DT ;
MAXWELL, CJ .
PHYSICS LETTERS A, 1991, 157 (6-7) :357-360
[3]   SEMICLASSICAL APPROXIMATIONS IN WAVE MECHANICS [J].
BERRY, MV ;
MOUNT, KE .
REPORTS ON PROGRESS IN PHYSICS, 1972, 35 (04) :315-+
[4]   When is the lowest order WKB quantization exact? [J].
Bhaduri, R. K. ;
Sprung, D. W. L. ;
Suzuki, Akira .
CANADIAN JOURNAL OF PHYSICS, 2006, 84 (6-7) :573-581
[5]   Shape invariant potentials in SUSY quantum mechanics and periodic orbit theory [J].
Bhaduri, RK ;
Sakhr, J ;
Sprung, DWL ;
Dutt, R ;
Suzuki, A .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2005, 38 (11) :L183-L189
[6]  
Brack M., 1997, SEMICLASSICAL PHYS
[7]   Shape invariance and the supersymmetric WKB approximation for the generalized Hulthen potential [J].
Chen, G .
PHYSICA SCRIPTA, 2004, 69 (04) :257-259
[8]   EXACTNESS OF SEMICLASSICAL BOUND-STATE ENERGIES FOR SUPERSYMMETRIC QUANTUM-MECHANICS [J].
COMTET, A ;
BANDRAUK, AD ;
CAMPBELL, DK .
PHYSICS LETTERS B, 1985, 150 (1-3) :159-162
[9]  
Cooper F., 1995, Physics Reports, V251, P267, DOI 10.1016/0370-1573(94)00080-M
[10]   Use of the Einstein-Brillouin-Keller action quantization [J].
Curtis, LJ ;
Ellis, DG .
AMERICAN JOURNAL OF PHYSICS, 2004, 72 (12) :1521-1523