Advanced search
Publication Cover
Molecular Physics
An International Journal at the Interface Between Chemistry and Physics
Volume 110, 2012 - Issue 18
Submit an article Journal homepage
199
Views
10
CrossRef citations to date
0
Altmetric
Research Articles

A new Morse ring-shaped potential for diatomic molecules

M. Amirfakhrian Department of Science and Engineering, Abhar Branch, Islamic Azad University, Abhar, Iran
&
M. Hamzavi Department of Basic Sciences, Shahrood Branch, Islamic Azad University, Shahrood, IranCorrespondence[email protected]
Pages 2173-2179 | Received 11 Jan 2012, Accepted 10 Feb 2012, Published online: 16 Mar 2012
 
Sample our Mathematics & Statistics journals, sign in here to start your FREE access for 14 days

Abstract

Using the Pekeris approximation, the Schrödinger equation is solved analytically for the Morse plus a novel angle-dependent potential. The generalized parametric Nikiforov–Uvarov method is used to obtain energy eigenvalues and corresponding eigenfunctions. We present the effect of the angle-dependent part on radial solutions, and some numerical results for diatomic molecules are also given.

Acknowledgement

The authors thank the referee for positive and invaluable suggestions that greatly improved the article.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related Research Data

Coherent states for the Hartmann potential
Source: Springer Science and Business Media LLC
Exactly complete solutions of the Coulomb potential plus a new ring-shaped potential
Source: Elsevier BV
Arbitrary l state solutions of the Schrödinger equation with the Deng-Fan molecular potential
Source: IOP Publishing
ANALYTICAL SOLUTION OF THE SCHRODINGER EQUATION FOR MAKAROV POTENTIAL WITH ANY L ANGULAR MOMENTUM
Source: Springer Science and Business Media LLC
Particle confined in modified ring-shaped potential
Source: IOP Publishing
Mixed Cu–simple metal dimers and trimers: CuLi, CuLi2, CuNa, CuK, CuBe, CuBe2, Cu2Be, CuAl, and CuAl2
Source: AIP Publishing
The Rotation-Vibration Coupling in Diatomic Molecules
Source: American Physical Society (APS)
An approximate solution of Dirac-Hulthén problem with pseudospin and spin symmetry for any κ state
Source: AMER INST PHYSICS
Solving Dirac Equation with New Ring-Shaped Non-Spherical Harmonic Oscillator Potential
Source: IOP Publishing
Pseudospin symmetry solution of the Dirac equation with an angle-dependent potential
Source: IOP Publishing
Theoretical study of the electric dipole moment function of the ClO molecule
Source: AIP Publishing
Die Bewegung eines Körpers in einem ringförmigen Potentialfeld
Source: Springer Science and Business Media LLC
Exactly complete solutions of the Schrödinger equation with a spherically harmonic oscillatory ring-shaped potential
Source: Elsevier BV
An algebraic approach to the ring-shaped non-spherical oscillator
Source: Elsevier BV
κ state solutions of the Dirac equation for the Eckart potential with pseudospin and spin symmetry
Source: IOP Publishing
Exact analytical solution to the relativistic Klein-Gordon equation with non-central equal scalar and vector potentials
Source: AIP Publishing
Exact Spin and Pseudospin Symmetry Solutions of the Dirac Equation for Mie-Type Potential Including a Coulomb-like Tensor Potential
Source: Springer Science and Business Media LLC
A novel angle-dependent potential and its exact solution
Source: Aperta
Special functions of mathematical physics : a unified introduction with applications
Source: Birkhäuser Boston
Exact solutions of the Dirac equation with scalar and vector Hartmann potentials
Source: Elsevier BV
Exact solutions and spectrum analysis of a noncentral potential in the presence of vector potential
Source: Wiley
Exact Solutions of the Klein–Gordon Equation with a New Anharmonic Oscillator Potential
Source: IOP Publishing
Electronic structure of diatomic molecules composed of a first-row transition metal and main-group element (h-f).
Source: American Chemical Society (ACS)
EXACT SOLUTIONS OF SCHRODINGER EQUATION FOR THE MAKAROV POTENTIAL
Source: Elsevier BV
Supersymmetry,Shape Invariance and Exactly Solvable Noncentral Potentials
Source: American Association of Physics Teachers (AAPT)
Theoretical study of the scandium and yttrium halides
Source: AIP Publishing
Bound states of Klein?Gordon equation and Dirac equation for ring-shaped non-spherical oscillator scalar and vector potentials
Source: IOP Publishing
On a generalized Kepler–Coulomb system: Interbasis expansions
Source: Wiley
Short-range corrections to the order parameter of the Ising spin glass above the upper critical dimension
Source: IOP Publishing
Supersymmetry and the Dirac Oscillator
Source: World Scientific Pub Co Pte Lt
EXACT COHERENT STATES OF A ONE-DIMENSIONAL QUANTUM FLUID IN A TIME-DEPENDENT TRAPPING POTENTIAL
Source: American Physical Society (APS)
Relativistic Quantum Mechanics. Wave Equations
Source: Springer Berlin Heidelberg
EXACT SOLUTIONS OF DIRAC EQUATION WITH HARTMANN POTENTIAL BY NIKIFOROV-UVAROV METHOD
Source: World Scientific Pub Co Pte Lt
Diatomic Molecules According to the Wave Mechanics. II. Vibrational Levels
Source: American Physical Society (APS)
Part I: The integrals of motion
Source: Springer Science and Business Media LLC
On the low-lying states of TiC
Source: Elsevier BV
Exact Solutions of the Dirac Equation with Coulomb plus a Novel Angle-Dependent Potential
Source: Walter de Gruyter GmbH
Pseudospin symmetry for a new oscillatory ring-shaped noncentral potential
Source: AIP Publishing
Coherent States for PT-/Non-PT-Symmetric and Non-Hermitian Morse Potential via Path Integral Method
Source: arXiv
Bound state solutions of the Klein–Gordon equation with the generalized Pöschl–Teller potential
Source: IOP Publishing
Approximately analytical solutions of the Manning–Rosen potential with the spin–orbit coupling term and spin symmetry
Source: Elsevier BV
Exact solution of the Dirac–Eckart problem with spin and pseudospin symmetry*
Source: IOP Publishing
Factorization Method in Quantum Mechanics
Source: Springer Netherlands
Axially symmetrical molecules in electric and magnetic fields: energy spectrum and selection rules
Source: Walter de Gruyter GmbH
All-electron ab initio investigations of the electronic states of the NiC molecule
Source: Elsevier BV
APPLICATION OF THE EXACT QUANTIZATION RULE TO THE RELATIVISTIC SOLUTION OF THE ROTATIONAL MORSE POTENTIAL WITH PSEUDOSPIN SYMMETRY
Source: IOP Publishing
EXACT SOLUTION OF DIRAC EQUATION FOR MIE-TYPE POTENTIAL BY USING THE NIKIFOROV–UVAROV METHOD UNDER THE PSEUDOSPIN AND SPIN SYMMETRY LIMIT
Source: World Scientific Pub Co Pte Lt
Die diamagnetische Suszeptibilitt eines nicht kugelsymmetrischen Systems@@@The diamagnetic susceptibility of a non-spherosymmetric system
Source: Springer Science and Business Media LLC
Electronic and geometric structures of several states of diatomic scandium nitride
Source: American Chemical Society (ACS)
New type shift operators for three-dimensional infinite well potential
Source: World Scientific Pub Co Pte Ltd
Reply to ‘Comment on ‘Approximate analytical solutions of the Dirac equation with the Pöschl–Teller potential including spin–orbit coupling’’
Source: IOP Publishing
Arbitrary Wave Relativistic Bound State Solutions for the Eckart Potential
Source: Springer Science and Business Media LLC

Linking provided by 

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.