DEFORMED WOODS−SAXON POTENTIAL IN THE FRAME OF SUPERSYMMETRIC QUANTUM MECHANICS FOR ANY l-STATE
نویسندگان
چکیده
A novel analytically solvable deformed Woods−Saxon potential is investigated by means of the Supersymmetric Quantum Mechanics. Hamiltonian hierarchy method and the shape invariance property are used in the calculations. The energy levels are obtained for any l-state. The interrelations for some nuclear scattering processes are also discussed. PACS No. 03.65.Ca, 03.65.Ge, 03.65.Nk
منابع مشابه
Deformed Woods−saxon Potential in Frame of the Supersymmetric Quantum Mechanics
A novel analytically solvable deformed Woods−Saxon potential is investigated by means of the Supersymmetric Quantum Mechanics. The study through Supersymmetric Quantum Mechanics is given together with the hierarchy of Hamiltonians and the shape invariance property. We obtain an expression for the energy levels of the deformed Woods-Saxon potential which gives for the non-zero and zero angular m...
متن کاملPolynomial Solution of PT /Non-PT -Symmetric and Non-Hermitian Generalized Woods-Saxon Potential via Nikiforov-Uvarov Method
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...
متن کاملGinsburg-Pitaevski-Gross differential equation with the Rosen-Morse and modified Woods-Saxon potentials
In this paper, we consider non-linear Ginsburg-Pitaevski-Gross equation with the Rosen-Morse and modifiedWoods-Saxon potentials which is corresponding to the quantum vortices and has important applications in turbulence theory. We use the Runge- Kutta-Fehlberg approximation method to solve the resulting non-linear equation.
متن کاملExact 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...
متن کامل