Hyperspherical Harmonics

Harmonic polynomials. - Generalized angular momentum. - Gegenbauer polynomials. - Fourier transforms in d dimensions. - Fock's treatment of hydrogenlike atoms and its generalization. - Many-dimensional hydrogenlike wave functions in direct space. - Solutions to the reciprocal-space Schrödinger equation for the many-center Coulomb problem. - Matrix representations of many-particle Hamiltonians in hyper spherical coordinates. - Iteration of integral forms of the Schrödinger equation. - Symmetry-adapted hyperspherical harmonics. - The adiabatic approximation. - Appendix A: Angular integrals in a 6-dimensional space. - Appendix B: Matrix elements of the total orbital angular momentum operator. - Appendix C: Evaluation of the transformation matrix U. - Appendix D: Expansion of a function about another center. - References. Language: English