The Experts below are selected from a list of 1206 Experts worldwide ranked by ideXlab platform
Ramazan Sever - One of the best experts on this subject based on the ideXlab platform.
-
Step-up and Step-down Operators of a Two-Term Molecular Potential Via Nikiforov–Uvarov Method
Few-Body Systems, 2014Co-Authors: Altug Arda, Ramazan SeverAbstract:The creation and annihilation operators of a two-term diatomic molecular potential are studied and it is observed that they satisfy the commutation relations of a SU(1,1) algebra. To study the Lie algebraic realization of the present potential, the Normalized Eigenfunctions and eigenvalues are computed by using the Nikiforov–Uvarov method.
-
Step-Up and Step-Down Operators of a two-term Molecular Potential via Nikiforov-Uvarov Method
arXiv: Mathematical Physics, 2012Co-Authors: Altug Arda, Ramazan SeverAbstract:The creation and annihilation operators of a two-term diatomic molecular potential are studied and it is observed that they satisfy the commutation relations of a SU(1,1) algebra. To study the Lie algebraic realization of the present potential, the Normalized Eigenfunctions and eigenvalues are computed by using the Nikiforov-Uvarov method.
-
EXACT SOLUTIONS OF THE SCHRODINGER EQUATION VIA LAPLACE TRANSFORM APPROACH: PSEUDOHARMONIC POTENTIAL AND MIE-TYPE POTENTIALS
Journal of Mathematical Chemistry, 2011Co-Authors: Altug Arda, Ramazan SeverAbstract: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 wavefunctions of the above potentials. It is also given numerical results for the bound states of two diatomic molecular potentials, and compared the results with the ones obtained in literature.
-
Approximate l-state solutions to the Klein-Gordon equation for modified Woods-Saxon potential with position dependent mass
International Journal of Modern Physics A, 2009Co-Authors: Altug Arda, Ramazan SeverAbstract:The radial part of the Klein–Gordon equation for the generalized Woods–Saxon potential is solved by using the Nikiforov–Uvarov method with spatially dependent mass within the new approximation scheme to the centrifugal potential term. The energy eigenvalues and corresponding Normalized Eigenfunctions are computed. The solutions in the case of constant mass are also obtained to check out the consistency of our new approximation scheme.
-
Approximate l-State Solutions of the Klein-Gordon Equation for Modified Woods-Saxon Potential With Position Dependent Mass
arXiv: Quantum Physics, 2009Co-Authors: Altug Arda, Ramazan SeverAbstract:The radial part of the Klein-Gordon equation for the generalized Woods-Saxon potential is solved by using the Nikiforov-Uvarov method in the case of spatially dependent mass within the new approximation scheme to the centrifugal potential term. The energy eigenvalues and corresponding Normalized Eigenfunctions are computed. The solutions in the case of constant mass are also studied to check out the consistency of our new approximation scheme.
Altug Arda - One of the best experts on this subject based on the ideXlab platform.
-
Step-up and Step-down Operators of a Two-Term Molecular Potential Via Nikiforov–Uvarov Method
Few-Body Systems, 2014Co-Authors: Altug Arda, Ramazan SeverAbstract:The creation and annihilation operators of a two-term diatomic molecular potential are studied and it is observed that they satisfy the commutation relations of a SU(1,1) algebra. To study the Lie algebraic realization of the present potential, the Normalized Eigenfunctions and eigenvalues are computed by using the Nikiforov–Uvarov method.
-
Exact Solution of a Spin-$\frac{1}{2}$ Particle for a Linear Potential
arXiv: Mathematical Physics, 2014Co-Authors: Altug ArdaAbstract:The problem of a spin-$\frac{1}{2}$ particle moving in a linear potential field in two-dimensions is searched to obtain for nonzero energy eigenvalues and the corresponding Normalized Eigenfunctions. The zero-mode ($E=0$) Eigenfunctions are also studied and it is seen that they are normalizable. The variation of the non-zero Eigenfunctions and also eigenvalues are according to the position and potential parameter $\gamma$, respectively, given in the text.
-
Step-Up and Step-Down Operators of a two-term Molecular Potential via Nikiforov-Uvarov Method
arXiv: Mathematical Physics, 2012Co-Authors: Altug Arda, Ramazan SeverAbstract:The creation and annihilation operators of a two-term diatomic molecular potential are studied and it is observed that they satisfy the commutation relations of a SU(1,1) algebra. To study the Lie algebraic realization of the present potential, the Normalized Eigenfunctions and eigenvalues are computed by using the Nikiforov-Uvarov method.
-
EXACT SOLUTIONS OF THE SCHRODINGER EQUATION VIA LAPLACE TRANSFORM APPROACH: PSEUDOHARMONIC POTENTIAL AND MIE-TYPE POTENTIALS
Journal of Mathematical Chemistry, 2011Co-Authors: Altug Arda, Ramazan SeverAbstract: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 wavefunctions of the above potentials. It is also given numerical results for the bound states of two diatomic molecular potentials, and compared the results with the ones obtained in literature.
-
Approximate l-state solutions to the Klein-Gordon equation for modified Woods-Saxon potential with position dependent mass
International Journal of Modern Physics A, 2009Co-Authors: Altug Arda, Ramazan SeverAbstract:The radial part of the Klein–Gordon equation for the generalized Woods–Saxon potential is solved by using the Nikiforov–Uvarov method with spatially dependent mass within the new approximation scheme to the centrifugal potential term. The energy eigenvalues and corresponding Normalized Eigenfunctions are computed. The solutions in the case of constant mass are also obtained to check out the consistency of our new approximation scheme.
Stefano Cerbelli - One of the best experts on this subject based on the ideXlab platform.
-
Spectral analysis of the weighted Laplacian in slip and no-slip flows.
Physical Review E, 2009Co-Authors: Massimiliano Giona, Alessandra Adrover, Stefano CerbelliAbstract:Slip boundary conditions for the velocity field impact on the spectral properties of the advection-diffusion operator describing transport of passive particles in laminar parallel flows. By considering the Hermitian operator (referred to as the weighted Laplacian), describing the interplay between axial convection and cross-sectional diffusion of a scalar field, we show that the spectral watershed between slip and no-slip boundary conditions is a qualitatively different scaling behavior of the mean of the Normalized Eigenfunctions of the weighted Laplacian. The occurrence of slip conditions also influences the scaling of the density of states as regards both the leading and the subleading term in the Weyl's expansion.
Massimiliano Giona - One of the best experts on this subject based on the ideXlab platform.
-
Spectral analysis of the weighted Laplacian in slip and no-slip flows.
Physical Review E, 2009Co-Authors: Massimiliano Giona, Alessandra Adrover, Stefano CerbelliAbstract:Slip boundary conditions for the velocity field impact on the spectral properties of the advection-diffusion operator describing transport of passive particles in laminar parallel flows. By considering the Hermitian operator (referred to as the weighted Laplacian), describing the interplay between axial convection and cross-sectional diffusion of a scalar field, we show that the spectral watershed between slip and no-slip boundary conditions is a qualitatively different scaling behavior of the mean of the Normalized Eigenfunctions of the weighted Laplacian. The occurrence of slip conditions also influences the scaling of the density of states as regards both the leading and the subleading term in the Weyl's expansion.
Sameer M. Ikhdair - One of the best experts on this subject based on the ideXlab platform.
-
approximate eigensolutions of the deformed woods saxon potential via aim
arXiv: Quantum Physics, 2013Co-Authors: Sameer M. Ikhdair, Babatunde J. Falaye, Majid HamzaviAbstract:By using the Pekeris approximation, the Schr\"{o}dinger equation is solved for the nuclear deformed Woods-Saxon potential within the framework of the asymptotic iteration method (AIM). The energy levels are worked out and the corresponding Normalized Eigenfunctions are obtained in terms of hypergeometric function.
-
Approximate Eigensolutions of the Deformed Woods—Saxon Potential via AIM
Chinese Physics Letters, 2013Co-Authors: Sameer M. Ikhdair, Babatunde J. Falaye, Majid HamzaviAbstract:Using the Pekeris approximation, the Schrodinger equation is solved for the nuclear deformed Woods—Saxon potential within the framework of the asymptotic iteration method. The energy levels are worked out and the corresponding Normalized Eigenfunctions are obtained in terms of hypergeometric function.
-
Approximate bound state solutions of the deformed Woods-Saxon potential using asymptotic iteration method
arXiv: Nuclear Theory, 2012Co-Authors: Babatunde J. Falaye, Majid Hamzavi, Sameer M. IkhdairAbstract:By using the Pekeris approximation, the Schrodinger equation is approximately solved for the nuclear deformed Woods-Saxon potential within the framework of the asymptotic iteration method. The energy levels are worked out and the corresponding Normalized Eigenfunctions are obtained in terms of hypergeometric function.