Hyperspherical Harmonics Expansion Techniques

Dr. Tapan Kumar Das completed M.Sc. from Calcutta University and PhD from the University of Pennsylvania (USA) in Theoretical Nuclear Physics under Prof. Abraham Klein and Prof. R.M. Dreizler in 1971. That work involved theoretical foundation of variable moment of inertia models in nuclear theory. He did his Post-doctoral research in nuclear many-body theory at the Technische Universität München (Germany). Then in 1973, he joined the Universidade Federal de Pernambuco (Brazil) as Professor of Physics. He collaborated with other physicists on few nucleon problems, including the proposition of a new tamed nuclear three-body force. Dr. Das returned to India in 1976 and joined the University of Burdwan, where he taught Physics as Lecturer, Reader and finally as Professor up to 1990, while continuing research on few-body systems using hyperspherical harmonics technique. He joined the University of Calcutta as Professor of Physics in 1990 and remained in that position until 2008. After that, he was awarded the UGC (Government of India) Emeritus Fellowship for two years and finally the DST (Government of India) Users Book Grant Project for two years from 2012. Dr. Das has visited Brazil, France, Russia, Italy and South Africa to do various collaborative research works. His research interests have been use of hyperspherical harmonics to numerous problems of physics and supersymmetric quantum mechanics. His major research achievements are: proposition of a tamed three-nucleon force and study its effect on trinucleon systems using hyperspherical harmonics, development of a many-body technique (correlated potential harmonics expansion method) for the Bose-Einstein condensate, formulation of supersymmetric quantum mechanics to multidimensional systems, etc. He has over 110 publications in reputed international journals.

• Introduction.- Systems of One or More Particles.- Three-body System.- General Many-body Systems.- The Trinucleon System.- Application to Coulomb Systems.- Potential Harmonics.- Application to Bose-Einstein Condensates.- Integro-differential Equation.- Computational Techniques.