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 al…
3.3 The Rodrigues Formula3.4 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 Prob…
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 …
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 al…