Hyperspherical Harmonics and Generalized Sturmians

This Text Explores The Connections Between The Theory Of Hyperspherical Harmonics, Momentum-space Quantum Theory And Generalized Sturmian Basis Functions. It Also Introduces Methods Which May Be Used To Solve Many-particle Problems Directly, Without The Use Of The Self-consistent-field Approximation.; The Method Of Many-electron Sturmians Offers An Interesting Alternative To The Usual Scf-ci Methods For Calculating Atomic And Molecular Structure. When Many-electron Sturmians Are Used, And When The Basis Potential Is Chosen To Be The Attractive Potential Of The Nuclei In The System, The Following Advantages Are Offered: The Matrix Representation Of The Nuclear Attraction Potential Is Diagonal; The Kinetic Energy Term Vanishes From The Secular Equation; The Slater Exponents Of The Atomic Orbitals Are Automatically Optimized; Convergence Is Rapid; A Correlated Solution To The Many-electron Problem Can Be Obtained Directly, Without The Use Of The Scf Approximation; And Excited States Can Be Obtained With Good Accuracy.; The Text Should Be Of Interest To Advanced Students And Research Workers In Theoretical Chemistry, Physics And Mathematics.