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Spherical harmonics in p dimensions
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Catalogue Information
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Details
Dewey Class
515.785 (DDC 23)
Title
Spherical harmonics in p dimensions (M) / Costas Efthimiou, Christopher Frye
Author
Efthimiou, Costas
Added Personal Name
Frye, Christopher
Publication
New Jersey : World Scientific , 2014
Physical Details
xii, 143 pages ; 24 cm.
ISBN
9814596698 (hardcover : alk. paper)
Contents note
Machine generated contents note: 1.1.Separation of Variables -- 1.2.Quantum Mechanical Angular Momentum -- 2.1.Rotations in EP -- 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.Ap in Spherical Coordinates -- 2.7.Problems -- 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 -- 4.1.Harmonic Homogeneous Polynomials -- 4.2.Spherical Harmonics and Orthogonality -- 4.3.Legendre Polynomials -- 4.4.Boundary Value Problems -- 4.5.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.
Links to Related Works
Subject References:
Legendre's polynomials
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Mathematical Physics
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Spherical functions
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Spherical harmonics
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Authors:
Efthimiou, Costas
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Frye, Christopher
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Classification:
515.785 (DDC 23)
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517.5 EFT
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0000000042769
517.5 EFT
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