New approach to (quasi-)exactly solvable Schrödinger equations with a position-dependent effective massB. Bagchi1, P. Gorain1, C. Quesne2 and R. Roychoudhury3
1 Department of Applied Mathematics, University of Calcutta 92 Acharya Prafulla Chandra Road, Kolkata 700 009, India
2 Physique Nucléaire Théorique et Physique Mathématique Université Libre de Bruxelles, Campus de la Plaine - CP 229 Boulevard du Triomphe, B-1050 Brussels, Belgium
3 Physics and Applied Mathematics Unit, Indian Statistical Institute Kolkata 700 035, India
received 9 July 2005; accepted 5 August 2005
published online 14 September 2005
By using the point canonical transformation approach in a manner distinct from previous ones, we generate some new exactly solvable or quasi-exactly solvable potentials for the one-dimensional Schrödinger equation with a position-dependent effective mass. In the latter case, SUSYQM techniques provide us with some additional new potentials.
02.30.Gp - Special functions.
03.65.Ge - Solutions of wave equations: bound states.
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