Physics – Quantum Physics
Scientific paper
2004-10-17
J. Phys. A: Math. Gen. 36, (2003) 8105-8112
Physics
Quantum Physics
Scientific paper
10.1088/0305-4470/36/29/315
An algebraic method of constructing potentials for which the Schroedinger 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 Schroedinger 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.
Koc Ramazan
Koca Mehmet
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