Hyperspherical Harmonics: Applications in Quantum Theory

by John Scales Avery

Book Overview

where d 3 3)2 ( L x - -- i3x j3x j i i>j Thus the Gegenbauer polynomials play a role in the theory of hyper spherical harmonics which is analogous to the role played by Legendre polynomials in the familiar theory of 3-dimensional spherical harmonics; and when d = 3, the Gegenbauer polynomials reduce to Legendre polynomials. The familiar sum rule, in 'lrlhich a sum of spherical harmonics is expressed as a Legendre polynomial, also has a d-dimensional...

• Format: Hardcover
• Language: English
• ISBN: 079230165X
• ISBN13: 9780792301653
• Release Date: April 1989
• Publisher: Springer
• Length: 256 Pages
• Weight: 1.24 lbs.
• Dimensions: 0.7" x 6.1" x 9.2"