Solving the spin-weighted spheroidal wave equation

被引：0

作者：

Li Yu-Zhen ^{[1
]}

Tian Gui-Hua ^{[1
]}

Dong Kun ^{[1
]}

机构：

[1] Beijing Univ Posts & Telecommun, Sch Sci, Beijing 100876, Peoples R China

来源：

CHINESE PHYSICS B | 2013年 / 22卷 / 06期

基金：

中国国家自然科学基金;

关键词：

spin-weighted spherical wave equation; supersymmetric quantum mechanics; shape invariance; recurrence relation; QUANTUM-MECHANICS; PERTURBATIONS;

D O I：

10.1088/1674-1056/22/6/060203

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper we solve spin-weighted spheroidal wave equations through super-symmetric quantum mechanics with a different expression of the super-potential. We use the shape invariance property to compute the "excited" eigenvalues and eigenfunctions. The results are beneficial to researchers for understanding the properties of the spin-weighted spheroidal wave more deeply, especially its integrability.

引用

页数：5

共 50 条

[21] Analytic solutions of the ground and excited states of the spin-weighted spheroidal equation in the case of s=2
孙越
田贵花
董锟
Chinese Physics B, 2012, (04) : 110 - 120
[22] Eigenvalues and eigenfunctions of spin-weighted spheroidal harmonics in four and higher dimensions
Berti, E
Cardoso, V
Casals, M
PHYSICAL REVIEW D, 2006, 73 (02):
[23] Asymptotic spectrum of the oblate spin-weighted spheroidal harmonics: A WKB analysis
Hod, Shahar
PHYSICS LETTERS B, 2012, 717 (4-5) : 462 - 464
[24] Spin-Weighted Spherical CNNs
Esteves, Carlos
Makadia, Ameesh
Daniilidis, Kostas
ADVANCES IN NEURAL INFORMATION PROCESSING SYSTEMS 33, NEURIPS 2020, 2020, 33
[25] Black-hole perturbation theory: The asymptotic spectrum of the prolate spin-weighted spheroidal harmonics
Hod, Shahar
PHYSICAL REVIEW D, 2013, 87 (06):
[26] Spin-weighted spherical harmonics and their applications
del Castillo, G. F. Torres
REVISTA MEXICANA DE FISICA, 2007, 53 (02) : 125 - 134
[27] GEOMETRIC THEORY OF SPIN-WEIGHTED FUNCTIONS
STARUSZKIEWICZ, A
JOURNAL OF MATHEMATICAL PHYSICS, 1967, 8 (11) : 2221 - +
[28] SOLUTION OF THE DIRAC-EQUATION IN TERMS OF THE SPIN-WEIGHTED SPHERICAL-HARMONICS
DELCASTILLO, GFT
ESTRADA, CU
REVISTA MEXICANA DE FISICA, 1992, 38 (01) : 162 - 178
[29] Eigenvalues and eigenfunctions of spin-weighted spheroidal harmonics in four and higher dimensions (vol 73, pg 024013, 2006)
Berti, Emanuele
Cardoso, Vitor
Casals, Marc
PHYSICAL REVIEW D, 2006, 73 (10):
[30] Spin-weighted Green's Functions in a Conical Space
Mod Phys Lett A, 39-40 (3075):

← 1 2 3 4 5 →