Shape-invariance approach and Hamiltonian hierarchy method on the Woods-Saxon potential for l not equal 0 states

Berkdemir, Cueneyt
Sever, Ramazan
An analytically solvable Woods-Saxon potential for l not equal 0 states is presented within the framework of Supersymmetric Quantum Mechanics formalism. The shape-invariance approach and Hamiltonian hierarchy method are included in calculations by means of a translation of parameters. The approximate energy spectrum of this potential is obtained for l not equal 0 states, applying the Woods-Saxon square approximation to the centrifugal barrier term of the Schrodinger equation.


Exact quantization rule to the Kratzer-type potentials: an application to the diatomic molecules
IKHDAİR, SAMEER; Sever, Ramazan (Springer Science and Business Media LLC, 2009-04-01)
For arbitrary values of n and l quantum numbers, we present a simple exact analytical solution of the D-dimensional (D a parts per thousand yen 2) hyperradial Schrodinger equation with the Kratzer and the modified Kratzer potentials within the framework of the exact quantization rule (EQR) method. The exact bound state energy eigenvalues (E (nl) ) are easily calculated from this EQR method. The corresponding normalized hyperradial wave functions (psi (nl) (r)) are also calculated. The exact energy eigenvalu...
Bound state solution of the Schrodinger equation for Mie potential
Sever, Ramazan; Bucurgat, Mahmut; TEZCAN, CEVDET; Yesiltas, Oezlem (Springer Science and Business Media LLC, 2008-02-01)
Exact solution of Schrodinger equation for the Mie potential is obtained for an arbitrary angular momentum. The energy eigenvalues and the corresponding wavefunctions are calculated by the use of the Nikiforov-Uvarov method. Wavefunctions are expressed in terms of Jacobi polynomials. The bound states are calculated numerically for some values of l and n with n <= 5. They are applied to several diatomic molecules.
Exact solutions of the Schrodinger equation via Laplace transform approach: pseudoharmonic potential and Mie-type potentials
Arda, Altug; Sever, Ramazan (Springer Science and Business Media LLC, 2012-04-01)
Exact bound state solutions and corresponding normalized eigenfunctions of the radial Schrodinger equation are studied for the pseudoharmonic and Mie-type potentials by using the Laplace transform approach. The analytical results are obtained and seen that they are the same with the ones obtained before. The energy eigenvalues of the inverse square plus square potential and three-dimensional harmonic oscillator are given as special cases. It is shown the variation of the first six normalized wave-functions ...
Exponential type complex and non-Hermitian potentials within quantum Hamilton-Jacobi formalism
Yesiltas, Oezlem; Sever, Ramazan (Springer Science and Business Media LLC, 2008-03-01)
PT-/non-PT-symmetric and non-Hermitian deformed Morse and Poschl-Teller potentials are studied first time by quantum Hamilton-Jacobi approach. Energy eigenvalues and eigenfunctions are obtained by solving quantum Hamilton-Jacobi equation.
Bound states of a more general exponential screened Coulomb potential
Ikhdair, Sameer M.; Sever, Ramazan (Springer Science and Business Media LLC, 2007-05-01)
An alternative approximation scheme has been used in solving the Schrodinger equation to the more general case of exponential screened Coulomb potential, V(r) = -(a/r)[1 + (1 + br)e(-2br)]. The bound state energies of the 1s, 2s and 3s-states, together with the ground state wave function are obtained analytically upto the second perturbation term.
Citation Formats
C. Berkdemir, A. BERKDEMİR, and R. Sever, “Shape-invariance approach and Hamiltonian hierarchy method on the Woods-Saxon potential for l not equal 0 states,” JOURNAL OF MATHEMATICAL CHEMISTRY, pp. 944–954, 2008, Accessed: 00, 2020. [Online]. Available: