Physics – Quantum Physics
Scientific paper
2002-07-10
Phys. Rev. A, 66, 042116 (2002)
Physics
Quantum Physics
12 pages;PACS number(s): 03.65.Ca, 03.65.Ge, 03.65.Fd, 03.65.Db
Scientific paper
10.1103/PhysRevA.66.042116
Given a spatially dependent mass distribution we obtain potential functions for exactly solvable nonrelativistic problems. The energy spectrum of the bound states and their wavefunctions are written down explicitly. This is accomplished by mapping the wave equation for these systems into well-known exactly solvable Schrodinger equations with constant mass using point canonical transformation. The Oscillator, Coulomb, and Morse class of potentials are considered.
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