A new Coulomb ring-shaped potential via generalized parametric Nikiforov-Uvarov method
نویسندگان
چکیده
منابع مشابه
Exact Solution of Generalized Woods-Saxon Potential in PT-Symmetric Quantum Mechanics via Nikiforov-Uvarov Method
Exact solutions of Schrödinger equation are obtained for PT-/non-PT-symmetric and non-Hermitian generalized Woods−Saxon potential to get the complex-valued energy eigenvalues and the corresponding eigenfunctions for the bound states. NikiforovUvarov method is used in the calculations. Results are expressed by means of the complex conjugate polynomials based on the PT−symmetric quantum mechanics...
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We present analytically the exact energy bound-states solutions of the Schrödinger equation in D-dimensions for an alternative (often used) pseudoCoulomb potential-plusring-shaped potential of the form V (r) = −ar + b r + β cos θ r sin θ + c by means of the conventional Nikiforov-Uvarov method. We give a clear recipe of how to obtain an explicit solution to the radial and angular parts of the w...
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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 Schrödinger equation with same poten...
متن کاملGeneralized Woods-Saxon Potential in PT-Symmetric Quantum Mechanics and Nikiforov-Uvarov Method
Exact solutions of Schrödinger equation are obtained for PT-/non-PT-symmetric and non-Hermitian generalized Woods−Saxon potential to get the complex-valued energy eigenvalues and the corresponding eigenfunctions for the bound states. NikiforovUvarov method is used in the calculations and generalized by means of the complex conjugate polynomials on the PT−symmetric quantum mechanics frame of ref...
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Exact bound state solutions of the Schrödinger equation for generalized noncentral potential are examined by means of the Nikiforov-Uvarov method. The wavefunctions and the corresponding energy eigenvalues of the system are obtained analytically. The results examined for the potential are compatible with those obtained by the other methods.
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ژورنال
عنوان ژورنال: Journal of Theoretical and Applied Physics
سال: 2013
ISSN: 2251-7235
DOI: 10.1186/2251-7235-7-17