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E-book
Author Efthimiou, Costas, author

Title Spherical harmonics in p dimensions / Costas Efthimiou, Christopher Frye
Published Singapore ; Hackensack, NJ : World Scientific, [2014]
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Description 1 online resource (xii, 143 pages) : illustrations
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
Bibliography Includes bibliographical references and index
Notes Print version record
Subject Legendre's polynomials.
Mathematical physics.
Spherical functions.
Spherical harmonics.
Form Electronic book
Author Frye, Christopher, author
ISBN 9789814596701 (electronic bk.)
9814596701 (electronic bk.)