Exponential Type Complex and non-Hermitian Potentials in PT-Symmetric Quantum Mechanics

Abstract

Using the NU method [A.F.Nikiforov, V.B.Uvarov, Special Functions of Mathematical Physics, Birkhauser,Basel,1988], we investigated the real eigenvalues of the complex and/or $PT$- symmetric, non-Hermitian and the exponential type systems, such as Poschl-Teller and Morse potentials.

14 pages, Latex

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• Exact solutions of the modified Kratzer potential plus ring-shaped potential in the D-dimensional Schrodinger equation by the Nikiforov-Uvarov method
• Exact Solutions of the Duffin Kemmer Petiau Equation for the Deformed Hulthen Potential
• Polynomial Solution of Non-Central Potentials
• Beyond the WKB approximation in PT-symmetric quantum mechanics
• PT/Non-PT Symmetric and Non-Hermitian Poschl-Teller-Like Solvable Potentials via Nikiforov-Uvarov Method
• Exact solution of Effective mass Schrodinger Equation for the Hulthen potential
• A new approach to the exact solutions of the effective mass Schrodinger equation
• Supersymmetric solution of PT-/non-PT-symmetric and non-Hermitian Morse potential is studied to get real and Supersymmetric Solution of PT-/Non-PT-Symmetric and Non-Hermitian Morse Potential via Hamiltonian Hierarchy Method
• Mapping deformed hyperbolic potentials into nondeformed ones
• Coherent States for PT-/Non-PT-Symmetric and Non-Hermitian Morse Potential via Path Integral Method
• Quantum Hamilton-Jacobi analysis of PT symmetric Hamiltonians
• A search on the Nikiforov-Uvarov formalism
• A Novel SUSY Energy Bound States Treatment of the Klein-Gordon Equation with PT-Supersymmetric and q-Deformed Hulthen Potential
• Pseudo-Hermitian Dirac operator on the torus for massless fermions under the action of external fields
• The Generalized PT-Symmetric Sinh-Gordon Potential Solvable within Quantum Hamilton-Jacobi Formalism