Skip to content
You are not logged in |Login  
     
Limit search to available items
Record:   Prev Next
Resources
More Information
Bestseller
BestsellerE-book
Author Efthimiou, Costas, author.

Title Spherical harmonics in p dimensions / Costas Efthimiou, Christopher Frye.

Publication Info. Singapore ; Hackensack, NJ : World Scientific, [2014]

Item Status

Description 1 online resource (xii, 143 pages) : illustrations
Physical Medium polychrome
Description text file
Bibliography Includes bibliographical references and index.
Contents 1. Introduction. 1.1. Separation of variables. 1.2. Quantum mechanical angular momentum -- 2. Working in p dimensions. 2.1 Rotations in [symbol]. 2.2. Spherical coordinates in p dimensions. 2.3. The sphere in higher dimensions. 2.4. Arc length in spherical coordinates. 2.5. The divergence theorem in EP. 2.6. [symbol] in spherical coordinates. 2.7. Problems -- 3. Orthogonal polymials. 3.1. Orthogonality and expansions. 3.2. The recurrence formula. 3.3. The Rodrigues formula. 3.4. Approximations by polynomials. 3.5. Hilbert space and completeness. 3.6. Problems -- 4. Spherical harmonics in p dimensions. 4.1. Harmonic homogeneous polynomials. 4.2. Spherical harmonics and orthogonality. 4.3. Legendre polynomials. 4.4. Boundary value problems. 4.5. Problems -- 5. Solutions to problems. 5.1. Solutions to problems of chapter 2. 5.2. Solutions to problems of chapter 3. 5.3. Solutions to problems of chapter 4.
Summary The current book makes several useful topics from the theory of special functions, in particular the theory of spherical harmonics and Legendre polynomials in arbitrary dimensions, available to undergraduates studying physics or mathematics. With this audience in mind, nearly all details of the calculations and proofs are written out, and extensive background material is covered before exploring the main subject matter.
Local Note eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America
Subject Spherical harmonics.
Spherical harmonics.
Spherical functions.
Spherical functions.
Legendre's polynomials.
Legendre's polynomials.
Mathematical physics.
Mathematical physics.
Genre/Form Electronic books.
Added Author Frye, Christopher, author.
Other Form: Print version: Efthimiou, Costas, author. Spherical harmonics in p dimensions 9789814596695 (DLC) 2014000203 (OCoLC)867770400
ISBN 9789814596701 (electronic book)
9814596701 (electronic book)
9789814596695
9814596698