Spherical harmonics in p dimensions
By: Costas Efthimiou, University of Central Florida, USA, Christopher Frye, Harvard University, USA
Contributors: Frye, Christopher, author
Publisher: World Scientific
Published: 2014
Place of publication: New Jersey
Language: eng
Number of pages: 143
ISBN-13: 9789814596695
Copyright date: 2014
Subjects: Spherical harmonics; Spherical functions; Legendre's polynomials; Mathematical physics
Notes: Includes bibliographical references (pages 139-140) and index.
Table of contents: title: Machine generated contents note: 1.1.Separation of Variables; title: 1.2.Quantum Mechanical Angular Momentum; title: 2.1.Rotations in EP; title: 2.2.Spherical Coordinates in p Dimensions; title: 2.3.The Sphere in Higher Dimensions; title: 2.4.Arc Length in Spherical Coordinates; title: 2.5.The Divergence Theorem in EP; title: 2.6.Ap in Spherical Coordinates; title: 2.7.Problems; title: 3.1.Orthogonality and Expansions; title: 3.2.The Recurrence Formula; title: 3.3.The Rodrigues Formula; title: 3.4.Approximations by Polynomials; title: 3.5.Hilbert Space and Completeness; title: 3.6.Problems; title: 4.1.Harmonic Homogeneous Polynomials; title: 4.2.Spherical Harmonics and Orthogonality; title: 4.3.Legendre Polynomials; title: 4.4.Boundary Value Problems; title: 4.5.Problems; title: 5.1.Solutions to Problems of Chapter 2; title: 5.2.Solutions to Problems of Chapter 3; title: 5.3.Solutions to Problems of Chapter 4.