Ramazan Koç and Mehmet Koca 2003 J. Phys. A: Math. Gen. 36 8105 doi:10.1088/0305-4470/36/29/315
Ramazan Koç1 and Mehmet Koca2
Show affiliationsAn algebraic method of constructing potentials for which the Schrödinger equation with position dependent mass can be solved exactly is presented. A general form of the generators of su(1,1) algebra has been employed with a unified approach to the problem. Our systematic approach reproduces a number of earlier results and also leads to some novelties. We show that the solutions of the Schrödinger equation with position dependent mass are free from the choice of parameters for position dependent mass. Two classes of potentials are constructed that include almost all exactly solvable potentials.
03.65.Ge Solutions of wave equations: bound states
02.20.Qs General properties, structure, and representation of Lie groups
81R50 Quantum groups and related algebraic methods (See also 16W35, 17B37)
17Bxx Lie algebras and Lie superalgebras (For Lie groups, see 22Exx)
Issue 29 (25 July 2003)
Received 19 February 2003, in final form 9 June 2003
Published 8 July 2003
Ramazan Koç and Mehmet Koca 2003 J. Phys. A: Math. Gen. 36 8105
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