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Spherical harmonics in p dimensions /
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 calc...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Singapore ; Hackensack, NJ :
World Scientific,
[2014]
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| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Efthimiou, Costas, |e author. | |
| 245 | 1 | 0 | |a Spherical harmonics in p dimensions / |c Costas Efthimiou, Christopher Frye. |
| 264 | 1 | |a Singapore ; |a Hackensack, NJ : |b World Scientific, |c [2014] | |
| 300 | |a 1 online resource (xii, 143 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
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| 504 | |a Includes bibliographical references and index. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a 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. | |
| 520 | |a 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. | ||
| 546 | |a English. | ||
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Spherical harmonics. | |
| 650 | 0 | |a Spherical functions. | |
| 650 | 0 | |a Legendre's polynomials. | |
| 650 | 0 | |a Mathematical physics. | |
| 650 | 6 | |a Harmoniques sphériques. | |
| 650 | 6 | |a Fonctions sphériques. | |
| 650 | 6 | |a Polynômes de Legendre. | |
| 650 | 6 | |a Physique mathématique. | |
| 650 | 7 | |a MATHEMATICS |x Calculus. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Mathematical Analysis. |2 bisacsh | |
| 650 | 7 | |a Legendre's polynomials |2 fast | |
| 650 | 7 | |a Mathematical physics |2 fast | |
| 650 | 7 | |a Spherical functions |2 fast | |
| 650 | 7 | |a Spherical harmonics |2 fast | |
| 700 | 1 | |a Frye, Christopher, |e author. | |
| 776 | 0 | 8 | |i Print version: |a Efthimiou, Costas. |t Spherical harmonics in p dimensions |z 9789814596695 |w (DLC) 2014000203 |w (OCoLC)867770400 |
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