Polynomial Solution of PT-/Non-PT-Symmetric and Non-Hermitian Generalized Woods-Saxon Potential via Nikiforov-Uvarov Method

Abstract

Using the Nikiforov-Uvarov method, the bound state energy eigenvalues and eigenfunctions of the PT-/non-PT-symmetric and non-Hermitian generalized Woods-Saxon (WS) potential with the real and complex-valued energy levels are obtained in terms of the Jacobi polynomials. According to the PT-symmetric quantum mechanics, we exactly solved the time-independent Schrodinger equation with same potential for the s-states and also for any l-state as well. It is shown that the results are in good agreement with the ones obtained before.

20 pages

References in corpus (7)

• B_{c} and heavy meson spectroscopy in the local approximation of the Schrodinger equation with relativistic kinematics
• The Interpretation of Quantum-Mechanical Models with Non-Hermitian Hamiltonians and Real Spectra
• On the B_{c} leptonic decay constant
• Theoretical Status of the $B_c$ Meson in the Shifted l-Expansion Technique
• Deformed Woods-Saxon Potential in the Frame of Supersymmetric Quantum Mechanics for Any l-State
• PT and non-PT-Symmetric Solutions of the Schrodinger Equation for the Generalized Woods-Saxon Potential
• Eigenvalues and Eigenfunctions of Woods Saxon Potential in PT Symmetric Quantum Mechanics

Cited by in corpus (3)

• Exact Solution of the Klein-Gordon Equation for the PT-Symmetric Generalized Woods-Saxon Potential by the Nikiforov-Uvarov Method
• Bound-States of the Spinless Salpeter Equation for the PT-Symmetric Generalized Hulthen Potential by the Nikiforov-Uvarov Method
• Bound State Solutions of Schrödinger Equation for a more general Woods-Saxon Potential with Arbitrary l - state