Klein-Gordon particles in mixed vector-scalar inversely linear potentials
arXiv:hep-th/0502201 · doi:10.1016/j.physleta.2005.02.027
Abstract
The problem of a spinless particle subject to a general mixing of vector and scalar inversely linear potentials in a two-dimensional world is analyzed. Exact bounded solutions are found in closed form by imposing boundary conditions on the eigenfunctions which ensure that the effective Hamiltonian is Hermitian for all the points of the space. The nonrelativistic limit of our results adds a new support to the conclusion that even-parity solutions to the nonrelativistic one-dimensional hydrogen atom do not exist.
17 pages, 5 figures
References in corpus (1)
Cited by in corpus (27)
- On the Klein-Gordon oscillator subject to a Coulomb-type potential
- On a relativistic scalar particle subject to the Klein-Gordon oscillator, the Coulomb potential and a linear scalar potential
- Eigensolution techniques, their applications and the Fisher's information entropy of Tietz-Wei diatomic molecular model
- The generalized Klein-Gordon oscillator in the background of cosmic string space-time with a linear potential in the Kaluza-Klein theory
- Approximate Analytical Solutions to Relativistic and Nonrelativistic Pöschl-Teller Potential with its Thermodynamic Properties
- Exact Klein-Gordon equation with spatially-dependent masses for unequal scalar-vector Coulomb-like potentials
- Solution of the D-dimensional Klein-Gordon equation with equal scalar and vector ring-shaped pseudoharmonic potential
- The Klein-Gordon equation with the Kratzer potential in d dimensions
- Exact solution of the Klein Gordon equation in the presence of a minimal length
- Relativistic treatment in D-dimensions to a spin-zero particle with noncentral equal scalar and vector ring-shaped Kratzer potential
- Bound states of the Klein-Gordon equation for vector and scalar general Hulthen-type potentials in D-dimension
- The hydrino and other unlikely states
- Shape invariance approach to exact solutions of the Klein-Gordon equation
- Dirac bound states of anharmonic oscillator in external fields
- Scattering of Klein-Gordon particles in the background of mixed scalar-vector generalized symmetric Woods-Saxon potential
- A search on the Nikiforov-Uvarov formalism
- An Investigation of the Bound State Solutions of the Klein-Gordon Equation for the Generalized Woods-Saxon Potential in Spin Symmetry and Pseudo-spin Symmetry Limits
- Effective-mass Klein-Gordon Equation for non-PT/non-Hermitian Generalized Morse Potential
- Confinement of spin-0 and spin-1/2 particles in a mixed vector-scalar coupling with unequal shapes for the potentials
- Bound states of bosons and fermions in a mixed vector-scalar coupling with unequal shapes for the potentials
- Bound States of the Klein-Gordon Equation for Woods-Saxon Potential With Position Dependent Mass
- Bound State Solutions of Klein-Gordon Equation with the Kratzer Potential
- Effects of a mixed vector-scalar kink-like potential for spinless particles in two-dimensional spacetime
- Relativistic scalar particle subject to a confining potential and Lorentz symmetry breaking effects in the cosmic string spacetime
- Algebraic approach for shape invariant potentials in Klein-Gordon equation
- A search on the Klein-Gordon equation
- Klein-Gordon equation for a charged particle in space varying electromagnetic fields-A systematic study via Laplace transform