Exponential type complex and non-Hermitian potentials within quantum Hamilton-Jacobi formalism

Download

index.pdf

Date

2008-03-01

Author

Yesiltas, Oezlem
Sever, Ramazan

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

211
views

0
downloads

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.

Subject Keywords

Applied Mathematics, General Chemistry

URI

https://hdl.handle.net/11511/62562

Journal

JOURNAL OF MATHEMATICAL CHEMISTRY

DOI

https://doi.org/10.1007/s10910-007-9238-6

Collections

Department of Physics, Article

Suggestions

OpenMETU
Core

Thermal properties of Deng-Fan-Eckart potential model using Poisson summation approach Edet, C. O.; Okorie, U. S.; Osobonye, G.; Ikot, A. N.; Rampho, G. J.; Sever, Ramazan (Springer Science and Business Media LLC, 2020-05-01) The Deng-Fan-Eckart potential is as good as the Morse potential in studying atomic interaction in diatomic molecules. By using the improved Pekeris-type approximation, to deal with the centrifugal term, we obtain the bound-state solutions of the radial Schrodinger equation with this adopted molecular model via the Factorization Method. With the energy equation obtained, the thermodynamic properties of some selected diatomic molecules (H-2, CO, ScN and ScF) were obtained using Poisson summation method. The u...
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 ...
LOCAL OPERATOR ALGEBRAS FRACTIONAL POSITIVITY AND THE QUANTUM MOMENT PROBLEM Dosi, Anar (American Mathematical Society (AMS), 2011-02-01) In the present paper we introduce quantum measures as a concept of quantum functional analysis and develop the fractional space technique in the quantum (or local operator) space framework. We prove that each local operator algebra (or quantum *-algebra) has a fractional space realization. This approach allows us to formulate and prove a noncommutative Albrecht-Vasilescu extension theorem, which in turn solves the quantum moment problem.
Shape-invariance approach and Hamiltonian hierarchy method on the Woods-Saxon potential for l not equal 0 states Berkdemir, Cueneyt; BERKDEMİR, Ayşe; Sever, Ramazan (Springer Science and Business Media LLC, 2008-03-01) 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...

Citation Formats

O. Yesiltas and R. Sever, “Exponential type complex and non-Hermitian potentials within quantum Hamilton-Jacobi formalism,” JOURNAL OF MATHEMATICAL CHEMISTRY, pp. 921–931, 2008, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/62562.