Non-Relativistic and Relativistic Equations for the Kratzer Potential plus a Dipole in 2D Systems

Abstract

In this work, we study the wave equations in 2D Euclidian space for a new non-central potential consisting of a Kratzer term and a dipole term. For Schrodinger equation, we obtain the analytical expressions of the energies and the wave functions of the system. For Klein-Gordon and Dirac equations, we do the study in both spin and pseudo-spin symmetries to get the eigenfunctions and the eingenvalues. Then we study the dependence of energies on the radial moment D_{r} and the angular moment D_{theta}. We find that the D_{theta} term tends to dissociate the system, and thus counteracts the Coulomb binding effect, and that the D_{r} term can either amplify or decrease this effect according to its sign.

arXiv comment21 pages, 9 figures and 1 table

References in corpus (23)

• Realization of Bose-Einstein condensates in lower dimensions
• Pseudo-spin as a Relativistic Symmetry
• Dirac and Klein-Gordon equations with equal scalar and vector potentials
• Hidden pseudospin and spin symmetries and their origins in atomic nuclei
• Spin symmetry in the anti-nucleon spectrum
• Observation of a two-dimensional Fermi gas of atoms
• The two-dimensional hydrogen atom revisited
• Analytically solvable potentials for $\gamma$-unstable nuclei
• Supersymmetry,Shape Invariance and Exactly Solvable Noncentral Potentials
• The Klein-Gordon equation with the Kratzer potential in d dimensions
• Integrals containing confluent hypergeometric functions with applications to perturbed singular potentials
• Analytic solution of the Schrodinger equation for an electron in the field of a molecule with an electric dipole moment
• Electric dipole induced universality for Dirac fermions in graphene
• Non-Central Potentials, Exact Solutions and Laplace Transform Approach
• Relativistic treatment in D-dimensions to a spin-zero particle with noncentral equal scalar and vector ring-shaped Kratzer potential
• Spin-orbit-driven electron pairing in two dimensions
• Effect of dipole polarizability on positron binding by strongly polar molecules
• A class of exactly solvable rationally extended non-central potentials in Two and Three Dimensions
• Bound states of the two-dimensional Dirac equation for an energy-dependent hyperbolic Scarf potential
• Scattering theory and ground-state energy of Dirac fermions in graphene with two Coulomb impurities
• Energy spectra of Hartmann and ring-shaped oscillator potentials using the quantum Hamilton-Jacobi formalism
• Schrodinger Equation for Non-Pure Dipole Potential in 2D Systems
• Electric dipole and quadrupole contributions to valence electron binding in a charge-screening environment