Journal ArticleDOI
Exactly complete solutions of the Coulomb potential plus a new ring-shaped potential
Chang Yuan Chen,Shi-Hai Dong +1 more
TLDR
In this article, a ring-shaped potential was proposed to solve the Schrodinger equation with the bound states and the exact solutions of the continuous states of the quantum system were derived.About:
This article is published in Physics Letters A.The article was published on 2005-02-21. It has received 109 citations till now. The article focuses on the topics: Scattering amplitude & Bound state.read more
Citations
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Journal ArticleDOI
Exactly complete solutions of the Schrödinger equation with a spherically harmonic oscillatory ring-shaped potential
TL;DR: In this article, a spherically harmonic oscillatory ring-shaped potential is proposed and its exactly complete solutions are presented by the Nikiforov-Uvarov method.
Journal ArticleDOI
Exact solutions of the modified kratzer potential plus ring-shaped potential in the d-dimensional schrödinger equation by the nikiforov–uvarov method
Sameer M. Ikhdair,Ramazan Sever +1 more
TL;DR: In this paper, the exact energy bound-states solutions of the Schrodinger equation in D dimensions for a recently proposed modified Kratzer plus ring-shaped potential by means of the Nikiforov-Uvarov method were obtained.
Journal ArticleDOI
Exact solution of the Schrödinger equation for the modified Kratzer potential plus a ring-shaped potential by the Nikiforov–Uvarov method
Yan-Fu Cheng,Tong-Qing Dai +1 more
TL;DR: In this article, a new exactly solvable potential which consists of the modified Kratzer potential plus a new ring-shaped potential βctg2θ/r2 was proposed, which is based on the Nikiforov-Uvarov method.
Journal ArticleDOI
Exact bound states of the d-dimensional klein–gordon equation with equal scalar and vector ring-shaped pseudoharmonic potential
Sameer M. Ikhdair,Ramazan Sever +1 more
TL;DR: In this paper, the exact solution of the Klein-Gordon equation in D-dimensions in the presence of the equal scalar and vector pseudoharmonic potential plus the ring-shaped potential using the Nikiforov-Uvarov method was presented.
Journal ArticleDOI
Arbitrary l-wave scattering state solutions of the Schrödinger equation for the Eckart potential
TL;DR: In this article, the approximately analytical scattering state solutions of the l-wave Schr?dinger equation for the Eckart potential are carried out by a proper approximation to the centrifugal term.
References
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Book
Table of Integrals, Series, and Products
TL;DR: Combinations involving trigonometric and hyperbolic functions and power 5 Indefinite Integrals of Special Functions 6 Definite Integral Integral Functions 7.Associated Legendre Functions 8 Special Functions 9 Hypergeometric Functions 10 Vector Field Theory 11 Algebraic Inequalities 12 Integral Inequality 13 Matrices and related results 14 Determinants 15 Norms 16 Ordinary differential equations 17 Fourier, Laplace, and Mellin Transforms 18 The z-transform
Journal ArticleDOI
Tables of Integrals, Series, and Products
Book
Quantum mechanics: Non-relativistic theory,
TL;DR: The basic concepts of quantum mechanics Energy and momentum Schrodinger's equation Angular momentum Perturbation theory Spin The identity of particles The atom The theory of symmetry Polyatomic molecules Motion in a magnetic field Nuclear structure Elastic collisions Mathematical appendices.
Journal ArticleDOI
Die Bewegung eines Körpers in einem ringförmigen Potentialfeld
TL;DR: In this article, a quantenmechanische Problem eines Teilchens in einem ringformigen potential der art is studied, i.e., the problem of quantifying the quantification of a Teilchen in a ring formigen potential of the art.
Journal ArticleDOI
Quadratic algebra as a 'hidden' symmetry of the Hartmann potential
TL;DR: In this article, it was shown that operators, commuting with the Hamiltonian of the Hartmann potential form the quadratic Hahn algebra QH(3), and the structure of this algebra and its finite-dimensional representations are described.
Related Papers (5)
Spin–orbit coupling for the motion of a particle in a ring‐shaped potential
Hermann Hartmann,Dieter Schuch +1 more