Polynomial Solutions of Shcrodinger Equation with the Generalized Woods Saxon Potential
arXiv:nucl-th/0412021 · doi:10.1103/PhysRevC.72.027001
Abstract
The bound state energy eigenvalues and the corresponding eigenfunctions of the generalized Woods Saxon potential are obtained in terms of the Jacobi polynomials. Nikiforov Uvarov method is used in the calculations. It is shown that the results are in a good agreement with the ones obtained before.
arXiv comment14 pages, 2 figures, submitted to Physical Review C
References in corpus (9)
- Quasi-exactly solvable quartic potential
- Exact solution for Morse oscillator in PT-symmetric quantum mechanics
- Pseudo-Hermiticity of Hamiltonians under imaginary shift of the co-ordinate : real spectrum of complex potentials
- Exact solutions of the Schrodinger equation with non central potential by Nikiforov Uvarov method
- Exact Solutions of the Duffin Kemmer Petiau Equation for the Deformed Hulthen Potential
- Exponential Type Complex and non-Hermitian Potentials in PT-Symmetric Quantum Mechanics
- Quasi-exactly solvable quartic potentials with centrifugal and Coulombic terms
- New Results in the Analysis of the O+Si Elastic Scattering by Modifying the Optical Potential
- Kinetic energy and spin-orbit splitting in nuclei near neutron drip line
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