Eigensolutions of the N-dimensional Schr\"odinger equation interacting with Varshni-Hulth\'en potential model

• URL: http://arxiv.org/abs/2012.13826v1
• Date: Sat, 26 Dec 2020 22:54:13 GMT
• Title: Eigensolutions of the N-dimensional Schr\"odinger equation interacting with Varshni-Hulth\'en potential model
• Authors: E. P. Inyang, E. S. William and J. A. Obu
• Abstract summary: Solution of the N-dimensional Schr"odinger equation for the newly proposed Varshni-Hulth'en potential is presented. numerical energy eigenvalues and the corresponding normalized eigenfunctions are obtained in terms of Jacobis.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Analytical solutions of the N-dimensional Schr\"odinger equation for the newly proposed Varshni-Hulth\'en potential are obtained within the framework of Nikiforov-Uvarov method by using Greene-Aldrich approximation scheme to the centrifugal barrier. The numerical energy eigenvalues and the corresponding normalized eigenfunctions are obtained in terms of Jacobi polynomials. Special cases of the potential are equally studied and their numerical energy eigenvalues are in agreement with those obtained previously with other methods. However, the behavior of the energy for the ground state and several excited states is illustrated graphically.

Related papers

• Quantum Simulation for Partial Differential Equations with Physical Boundary or Interface Conditions [28.46014452281448]
  This paper explores the feasibility of quantum simulation for partial differential equations (PDEs) with physical boundary or interface conditions. We implement this method for several typical problems, including the linear convection equation with inflow boundary conditions and the heat equation with Dirichlet and Neumann boundary conditions. For interface problems, we study the (parabolic) Stefan problem, linear convection, and linear Liouville equations with discontinuous and even measure-valued coefficients.
  arXiv  Detail & Related papers  (2023-05-04T10:32:40Z)
• The Fractional Schrodinger Equation with the Generalized Woods-Saxon Potential [0.0]
  The bound state energy eigenvalues and the corresponding eigenfunctions of the generalized Woods-Saxon potential are studied. Results play important role in molecular chemistry and nuclear physics.
  arXiv  Detail & Related papers  (2023-01-20T10:14:54Z)
• Physics-Informed Gaussian Process Regression Generalizes Linear PDE Solvers [32.57938108395521]
  A class of mechanistic models, Linear partial differential equations, are used to describe physical processes such as heat transfer, electromagnetism, and wave propagation. specialized numerical methods based on discretization are used to solve PDEs. By ignoring parameter and measurement uncertainty, classical PDE solvers may fail to produce consistent estimates of their inherent approximation error.
  arXiv  Detail & Related papers  (2022-12-23T17:02:59Z)
• Characteristic Neural Ordinary Differential Equations [30.20663139358168]
  We propose a framework for extending Neural Ordinary Differential Equations (NODEs) beyond ODEs. While NODEs model the evolution of the latent state as the solution to an ODE, the proposed C-NODE models the evolution of the latent state as the solution of a family of first-order quasi-linear partial differential equations (PDE) We prove that the C-NODE framework extends the classical NODE by exhibiting functions that cannot be represented by NODEs but are representable by C-NODEs.
  arXiv  Detail & Related papers  (2021-11-25T18:25:09Z)
• Out-of-equilibrium dynamics of the Kitaev model on the Bethe lattice via coupled Heisenberg equations [23.87373187143897]
  We study the isotropic Kitaev spin-$1/2$ model on the Bethe lattice. We take a straightforward approach of solving Heisenberg equations for a tailored subset of spin operators. As an example, we calculate the time-dependent expectation value of this observable for a factorized translation-invariant.
  arXiv  Detail & Related papers  (2021-10-25T17:37:33Z)
• Approximate Solutions, Thermal Properties and Superstatistics Solutions to Schr\"odinger Equation [0.0]
  We study thermal properties and superstatistics in terms of partition function (Z) and other thermodynamic properties. The proposed potential model reduces to Hellmann potential, Yukawa potential, Screened Hyperbolic potential and Coulomb potential as special cases.
  arXiv  Detail & Related papers  (2021-10-16T22:02:50Z)
• Bernstein-Greene-Kruskal approach for the quantum Vlasov equation [91.3755431537592]
  The one-dimensional stationary quantum Vlasov equation is analyzed using the energy as one of the dynamical variables. In the semiclassical case where quantum tunneling effects are small, an infinite series solution is developed.
  arXiv  Detail & Related papers  (2021-02-18T20:55:04Z)
• Analytical Solutions of the Schrodinger Equation for Hua Potential within the Framework of two Approximations Scheme [0.0]
  We solve the Schrodinger equation for s-wave and arbitrary angular momenta with the Hua potential. Some special cases of this potentials are also studied.
  arXiv  Detail & Related papers  (2020-12-18T12:48:59Z)
• Solutions of the Schrodinger Equation for Modified Mobius Square Potential using two Approximation Scheme [0.0]
  The eigenfunctions as well as energy eigenvalues are obtained in an exact analytical manner. Some special cases of this potentials are also studied.
  arXiv  Detail & Related papers  (2020-12-18T11:53:57Z)
• New Generalized Morse-Like Potential for Studying the Atomic Interaction in Diatomic Molecules [0.0]
  We obtain the approximate analytical solutions of the radial Schrodinger equation for the New Generalized Morse-Like Potential in arbitrary dimensions. The rotational-vibrational energy eigenvalues for some diatomic molecules are computed with the aid of some spectroscopic parameters.
  arXiv  Detail & Related papers  (2020-12-04T13:41:12Z)
• Method of spectral Green functions in driven open quantum dynamics [77.34726150561087]
  A novel method based on spectral Green functions is presented for the simulation of driven open quantum dynamics. The formalism shows remarkable analogies to the use of Green functions in quantum field theory. The method dramatically reduces computational cost compared with simulations based on solving the full master equation.
  arXiv  Detail & Related papers  (2020-06-04T09:41:08Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.