Nonrelativistic molecular models under external magnetic and AB flux fields

Abstract

By using the wave function ansatz method, we study the energy eigenvalues and wave function for any arbitrary $m$-state in two-dimensional Schrödinger wave equation with various power interaction potentials in constant magnetic and Aharonov-Bohm (AB) flux fields perpendicular to the plane where the interacting particles are confined. We calculate the energy levels of some diatomic molecules in the presence and absence of external magnetic and AB flux fields using different potential models. We found that the effect of the Aharonov-Bohm field is much as it creates a wider shift for $m\ne 0$ and its influence on $m=0$ states is found to be greater than that of the magnetic field. To show the accuracy of the present model, a comparison is made with those ones obtained in the absence of external fields. An extension to 3-dimensional quantum system have also been presented.

References in corpus (16)

• Morse potential energy spectra through the variational method and supersymmetry
• Equivalence of the empirical shifted Deng-Fan oscillator potential for diatomic molecules
• Exact solution of Schrodinger equation for Pseudoharmonic potential
• A quantum pseudodot system with two-dimensional pseudoharmonic potential under external magnetic and AB flux fields
• Realization of the spectrum generating algebra for the generalized Kratzer potentials
• Effects of external fields on two-dimensional Klein-Gordon particle under pseudoharmonic oscillator interaction
• Exact solution of the Dirac equation for a Coulomb and a scalar Potential in the presence of of an Aharonov-Bohm and magnetic monopole fields
• Spectra of cylindrical quantum dots: the effect of electrical and magnetic fields together with AB flux field
• Energy spectrum of the ground state of a two dimensional relativistic hydrogen atom in the presence of a constant magnetic field
• The Energy Eigenvalues of the Two Dimensional Hydrogen Atom in a Magnetic Field
• Analytic Solution of a Relativistic Two-dimensional Hydrogen-like Atom in a Constant Magnetic Field
• 2D Quantum Hydrogen Atom in Circularly Polarized Microwaves
• Energy Spectrum of a Relativistic Two-dimensional Hydrogen-like Atom in a Constant Magnetic Field of arbitrary strength
• Dirac bound states of anharmonic oscillator in external fields
• Effective-mass Klein-Gordon Equation for non-PT/non-Hermitian Generalized Morse Potential
• Quasi-exact solutions for two interacting electrons in two-dimensional anisotropic dots

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• Energy states of the Hulthen plus Coulomb-like potential with position-dependent mass function in external magnetic fields
• Hydrogen atom in a quantum plasma environment under the influence of Aharonov-Bohm flux and electric and magnetic fields
• Approximate energy states and thermal properties of a particle with position-dependent mass in external magnetic fields
• Relativistic Killingbeck Energy States Under an External Magnetic Fields
• Point-like defect on Schrödinger particles under flux field with harmonic oscillator plus Mie-type potential: application to molecular potentials
• Klein-Gordon Oscillator with Scalar and Vector Potentials in Topologically Charged Ellis-Bronnikov type Wormhole
• An angular frequency dependence on the Aharonov-Casher geometric phase
• Some aspects of an induced electric dipole moment in rotating and nonrotating frames
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• Quantum effects on an atom with a magnetic quadrupole moment in a region with a time-dependent magnetic field
• Relativistic scalar particle subject to a confining potential and Lorentz symmetry breaking effects in the cosmic string spacetime
• Electron trapping in graphene quantum dots with magnetic flux
• The heat kernel for two Aharonov-Bohm solenoids in a uniform magnetic field
• An electron of helium atom under a high-intensity laser field
• On a neutral particle with a magnetic quadrupole moment in a uniform effective magnetic field