Exact Solutions to Three-Dimensional Schrödinger Equation with an Exponentially Position-Dependent Mass |
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| Authors: | CAI Chang-Ying REN Zhong-Zhou JU Guo-Xing |
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| Institution: | 1. Department of Physics, Nanjing University, Nanjing 210008, China
;2. Center of Theoretical Nuclear Physics, National Laboratory
of Heavy-Ion Accelerator, Lanzhou 730000, China
;3. Department of Physics, Jinggangshan University, Ji'an 343009, China |
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| Abstract: | For an exponentially position-dependent mass, we obtain the exact
solutions of the three-dimensional Schrödinger equation by
using coordinate transformation method for the reference problems
with Coulomb potential, Kratzer potential, and spherically square
potential well of infinite depth, respectively. The explicit
expressions for the energy eigenvalues and the corresponding
eigenfunctions of the three systems are presented. |
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| Keywords: | Schrödinger equation exact solutions coordinate transformation effective mass |
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