| Issue |
Europhys. Lett.
Volume 72, Number 2, October 2005
|
|
|---|---|---|
| Page(s) | 155 - 161 | |
| Section | General | |
| DOI | https://doi.org/10.1209/epl/i2005-10218-8 | |
| Published online | 14 September 2005 | |
New approach to (quasi-)exactly solvable Schrödinger equations with a position-dependent effective mass
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
Corresponding authors: bbagchi123@rediffmail.com psgorain@rediffmail.com cquesne@ulb.ac.be raj@isical.ac.in
Received:
9
July
2005
Accepted:
5
August
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.
PACS: 02.30.Gp – Special functions / 03.65.Ge – Solutions of wave equations: bound states
© EDP Sciences, 2005
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