Journal ArticleDOI
Construction of solvable non-central potential using vector superpotential: a new approach
Reads0
Chats0
TLDR
In this article, the vector superpotential is used to find general potential form using supersymmetric quantum mechanics (SUSY QM) approach, which is useful to reconstruct different solved central potentials and non-central shape variant or shape invariant potentials.Abstract:
We introduce here vector superpotential which is useful to find general potential form using supersymmetric quantum mechanics (SUSY QM) approach. Using the vector superpotential, we reconstruct different solved central potentials and non-central shape variant or shape invariant potentials. To construct and reconstruct the central potentials and non-central potentials, appropriate choice of radial part of the superpotential as well as angular and azimuthal parts of the superpotential is required. Our main aim is to construct angular and azimuthal parts of potential directly from the appropriate choice of vector superpotential. We have reconstructed few potentials which are solved by different researchers using different methods of solution and also constructed new non-central potentials.read more
Citations
More filters
Journal ArticleDOI
Eigensolution and various properties of the screened cosine Kratzer potential in D dimensions via relativistic and non-relativistic treatment
TL;DR: In this paper, the bound-state energy eigenvalues and the corresponding normalized wave functions expressed in terms of hypergeometric functions were obtained via the generalized Nikiforov-Uvarov method.
Journal ArticleDOI
Analytical solutions to the Schrodinger equation for a generalized Cornell potential and its applications to diatomic molecules and heavy mesons
TL;DR: In this article , analytical expressions of energy eigenvalues and eigen functions for a generalized Cornell potential are obtained by solving the non-relativistic Schrodinger equation using the Nikiforov-Uvarov functional analysis method along with Greene-Aldrich approximation.
Journal ArticleDOI
Bound state solution and thermodynamic properties of the screened cosine Kratzer potential under influence of the magnetic field and Aharanov-Bohm flux field
TL;DR: In this article, the authors obtained energy eigenvalues and wave functions for SCKP with external fields (magnetic field and Aharanov-Bohm flux field) via parametric Nikiforov Uvarov (pNU) method using the approximation method suggested by Greene-Aldrich for handling centrifugal barriers.
Journal ArticleDOI
Analytical Bound State Solutions of the Klein-Fock-Gordon Equation for the Sum of Hulthén and Yukawa Potential within SUSY Quantum Mechanics
TL;DR: In this paper, a modified Klein-Fock-Gordon equation for the linear combination of Hulthen and Yukawa potentials is presented, and the relativistic energy eigenvalues and corresponding radial wave functions are obtained from supersymmetric quantum mechanics by applying the shape invariance concept.
Journal ArticleDOI
Solution of the Ultra Generalized Exponential-Hyperbolic Potential in Multi-dimensional Space
TL;DR: In this article, the authors proposed ultra generalized exponential hyperbolic potential (UGEHP) and derived various well known exponential-hyperbolic type potentials by setting parameters in UGEHP and using approximation suggested by Greene-Aldrich.
References
More filters
Journal ArticleDOI
Supersymmetry and quantum mechanics
TL;DR: In this article, the authors review the theoretical formulation of supersymmetric quantum mechanics and discuss many applications, including shape invariance and operator transformations, and show that a supersymmetry inspired WKB approximation is exact for a class of shape invariant potentials.
BookDOI
Special functions of mathematical physics : a unified introduction with applications
TL;DR: The theory of classical or thogonal polynomials of a discrete variable on both uniform and non-uniform lattices has been given a coherent presentation, together with its various applications in physics as discussed by the authors.
Journal ArticleDOI
Dissociation Energy and Long‐Range Potential of Diatomic Molecules from Vibrational Spacings of Higher Levels
TL;DR: Dissociation energy and long range interatomic potential of diatomic molecules from vibrational spacings of higher levels were analyzed in this paper, showing that the potential of a diatomic molecule to be dissociation-free is very high.
Journal ArticleDOI
A systematic search for nonrelativistic systems with dynamical symmetries
TL;DR: In this article, the existence of pairs of commuting integrals of motion not higher than second order in the derivatives is considered and related to the separation of variables in the Schrodinger equation.
Journal ArticleDOI
Exact analytical solutions to the Kratzer potential by the asymptotic iteration method
TL;DR: For any n and l values, Bayrak et al. as mentioned in this paper presented a simple exact analytical solution of the radial Schrodinger equation for the Kratzer potential within the framework of theasymptotic iteration method (AIM).