Maple procedures for the coupling of angular momenta. IV. Spherical harmonics

Main Author: CPC, Mendeley
Other Authors: Inghoff, T., Fritzsche, S., Fricke, B.
Format: Dataset
Terbitan: Mendeley , 2001
Subjects:
Online Access: https:/data.mendeley.com/datasets/62wyz4zkpv
ctrlnum 0.17632-62wyz4zkpv.1
fullrecord <?xml version="1.0"?> <dc><creator>CPC, Mendeley</creator><title>Maple procedures for the coupling of angular momenta. IV.&#xA0;Spherical harmonics</title><publisher>Mendeley</publisher><description>Abstract Spherical harmonics play a crucial role in theoretical physics since they represent a complete and orthonormal set of functions on the unit sphere. The spherical harmonics are therefore applied in many different fields of physics including classical field theory as well as the treatment of quantum many-particle systems. Along with their well-known properties, they are frequently utilized to evaluate one- and many-particle matrix elements from atomic and nuclear structure theory analytically. ... Title of program: RACAH Catalogue Id: ADFV_v4_0 [ADOR] Nature of problem Spherical harmonics are applied in many fields of physics. In classical electrodynamics, for instance, the spherical harmonics may be utilized to expand the electro-magnetic field of a charge distribution in terms of its multipoles. The spherical harmonics also provide an important basis in quantum mechanics for classifying one- and many-particle states since they are simultaneous eigenfunctions of one component and of the square of the orbital angular momentum operator -ir x Delta. In many-part ... Versions of this program held in the CPC repository in Mendeley Data ADFV_v1_0; Racah; 10.1016/S0010-4655(97)00032-5 ADFV_v2_0; Racah; 10.1016/S0010-4655(98)00021-6 ADFV_v3_0; RACAH; 10.1016/S0010-4655(00)00234-4 ADFV_v4_0; RACAH; 10.1016/S0010-4655(01)00218-1 ADFV_v5_0; RACAH; 10.1016/S0010-4655(01)00219-3 ADFV_v6_0; RACAH; 10.1016/S0010-4655(02)00591-X ADFV_v7_0; RACAH; 10.1016/S0010-4655(03)00227-3 ADFV_v8_0; RACAH; 10.1016/j.cpc.2004.11.003 ADFV_v9_0; RACAH; 10.1016/j.cpc.2005.12.008 ADFV_v10_0; RACAH; 10.1016/j.cpc.2009.06.018 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2018)</description><subject>Computational Physics</subject><subject>Computer Algebra System</subject><subject>Computational Method</subject><contributor>Inghoff, T.</contributor><contributor>Fritzsche, S.</contributor><contributor>Fricke, B.</contributor><type>Other:Dataset</type><identifier>10.17632/62wyz4zkpv.1</identifier><rights>Computer Physics Communications Journal Licence</rights><rights>https://www.elsevier.com/about/policies/open-access-licenses/elsevier-user-license/cpc-license/</rights><relation>https:/data.mendeley.com/datasets/62wyz4zkpv</relation><date>2001-10-01T11:00:00Z</date><recordID>0.17632-62wyz4zkpv.1</recordID></dc>
format Other:Dataset
Other
author CPC, Mendeley
author2 Inghoff, T.
Fritzsche, S.
Fricke, B.
title Maple procedures for the coupling of angular momenta. IV. Spherical harmonics
publisher Mendeley
publishDate 2001
topic Computational Physics
Computer Algebra System
Computational Method
url https:/data.mendeley.com/datasets/62wyz4zkpv
contents Abstract Spherical harmonics play a crucial role in theoretical physics since they represent a complete and orthonormal set of functions on the unit sphere. The spherical harmonics are therefore applied in many different fields of physics including classical field theory as well as the treatment of quantum many-particle systems. Along with their well-known properties, they are frequently utilized to evaluate one- and many-particle matrix elements from atomic and nuclear structure theory analytically. ... Title of program: RACAH Catalogue Id: ADFV_v4_0 [ADOR] Nature of problem Spherical harmonics are applied in many fields of physics. In classical electrodynamics, for instance, the spherical harmonics may be utilized to expand the electro-magnetic field of a charge distribution in terms of its multipoles. The spherical harmonics also provide an important basis in quantum mechanics for classifying one- and many-particle states since they are simultaneous eigenfunctions of one component and of the square of the orbital angular momentum operator -ir x Delta. In many-part ... Versions of this program held in the CPC repository in Mendeley Data ADFV_v1_0; Racah; 10.1016/S0010-4655(97)00032-5 ADFV_v2_0; Racah; 10.1016/S0010-4655(98)00021-6 ADFV_v3_0; RACAH; 10.1016/S0010-4655(00)00234-4 ADFV_v4_0; RACAH; 10.1016/S0010-4655(01)00218-1 ADFV_v5_0; RACAH; 10.1016/S0010-4655(01)00219-3 ADFV_v6_0; RACAH; 10.1016/S0010-4655(02)00591-X ADFV_v7_0; RACAH; 10.1016/S0010-4655(03)00227-3 ADFV_v8_0; RACAH; 10.1016/j.cpc.2004.11.003 ADFV_v9_0; RACAH; 10.1016/j.cpc.2005.12.008 ADFV_v10_0; RACAH; 10.1016/j.cpc.2009.06.018 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2018)
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