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Solutions of Schrödinger Equation with Generalized Inverted Hyperbolic Potential

Solutions of Schrödinger Equation with Generalized Inverted Hyperbolic Potential
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摘要 The bound state solutions of the Schr?dinger equation with generalized inverted hyperbolic potential using the Nikiforov-Uvarov method are reported. We obtain the energy spectrum and the wave functions with this potential for arbitrary l-state. It is shown that the results of this potential reduced to the standard potentials—Rosen-Morse, Poschl-Teller and Scarf potential as special cases. We also discussed the energy equation and the wave function for these special cases. The bound state solutions of the Schr?dinger equation with generalized inverted hyperbolic potential using the Nikiforov-Uvarov method are reported. We obtain the energy spectrum and the wave functions with this potential for arbitrary l-state. It is shown that the results of this potential reduced to the standard potentials—Rosen-Morse, Poschl-Teller and Scarf potential as special cases. We also discussed the energy equation and the wave function for these special cases.
出处 《Journal of Modern Physics》 2012年第12期1849-1855,共7页 现代物理(英文)
关键词 SCHRODINGER EQUATION INVERTED HYPERBOLIC POTENTIAL Nikiforov-Uvarov Method Schrodinger Equation Inverted Hyperbolic Potential Nikiforov-Uvarov Method
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