Hyperspherical Harmonics and Generalized Sturmians

This book explores the connections between the theory of hypersphericalharmonics momentumspace quantum theory and generalized Sturmian basisfunctions and it int... » 

This book explores the connections between the theory of hypersphericalharmonics momentumspace quantum theory and generalized Sturmian basisfunctions and it introduces methods which may be used to solve manyparticleproblems directly without the use of the selfconsistentfield approximation.The method of manyelectron Sturmians offers an interesting and freshalternative to the usual SCFCI methods for calculating atomic and molecularstructure. When manyelectron Sturmians are used and when the basis potentialis chosen to be the attractive potential of the nuclei in the system thefollowing advantages are offered the matrix representation of the nuclearattraction potential is diagonal the kinetic energy term vanishes from thesecular equation the Slater exponents of the atomic orbitals are automaticallyoptimized convergence is rapid a correlated solution to the manyelectronproblem can be obtained directly without the use of the SCF approximation andexcited states can be obtained with good accuracy. Audience The book will beof interest to advanced students and research workers in theoretical chemistryphysics and mathematics. «