Hyperspherical Harmonics: Applications in Quantum Theory

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.