For an exponentially position-dependent mass, we obtain the exact solutionsof the three-dimensional Schrodinger equation by using coordinate transformation method for thereference problems with Coulomb potential, Krat...For an exponentially position-dependent mass, we obtain the exact solutionsof the three-dimensional Schrodinger equation by using coordinate transformation method for thereference problems with Coulomb potential, Kratzer potential, and spherically square potential wellof infinite depth, respectively. The explicit expressions for the energy eigenvalues and thecorresponding eigenfunctions of the three systems are presented.展开更多
基金The project supported by National Natural Science Foundation for Outstanding Young Scientists of China under Grant No. 10125521Fund of the Education Ministry of China under Grant No. 20010284036, the State Key Research Program of China under Grant N
文摘For an exponentially position-dependent mass, we obtain the exact solutionsof the three-dimensional Schrodinger equation by using coordinate transformation method for thereference problems with Coulomb potential, Kratzer potential, and spherically square potential wellof infinite depth, respectively. The explicit expressions for the energy eigenvalues and thecorresponding eigenfunctions of the three systems are presented.