Buscar
Mostrando ítems 1-10 de 5817
Analytical Solutions of the Fokker-Planck Equation for Generalized Morse and Hulth,n Potentials
(Springer, 2016-01-01)
In the present contribution we analytically calculate solutions of the transition probability of the Fokker-Planck equation (FPE) for both the generalized Morse potential and the Hulth,n potential. The method is based on ...
A General Solution of the Fokker-Planck Equation
(Springer, 2012-02-01)
The Fokker-Planck equation is useful to describe stochastic processes. Depending on the force acting in the system, the solution of this equation becomes complicated and approximate or numerical solutions are needed. The ...
Solutions of the three-dimensional radial Dirac equation from the Schrödinger equation with one-dimensional Morse potential
(2017-07-12)
New exact analytical bound-state solutions of the radial Dirac equation in 3+1 dimensions for two sets of couplings and radial potential functions are obtained via mapping onto the nonrelativistic bound-state solutions of ...
A large class of bound-state solutions of the Schrodinger equation via Laplace transform of the confluent hypergeometric equation
(Springer, 2016-06-01)
It is shown that analytically soluble bound states of the Schrodinger equation for a large class of systems relevant to atomic and molecular physics can be obtained by means of the Laplace transform of the confluent ...
A new approach to solve the one-dimensional Schrodinger equation using a wavefunction potential
(Elsevier, 2020)
A new approach to find exact solutions to one-dimensional quantum mechanical systems is devised. The scheme is based on the introduction of a potential function for the wavefunction, and the equation it satisfies. We recover ...
Bound states of the Dirac equation for a class of effective quadratic plus inversely quadratic potentials
(Elsevier B.V., 2004-05-01)
The Dirac equation is exactly solved for a pseudoscalar linear plus Coulomb-like potential in a two-dimensional world. This sort of potential gives rise to an effective quadratic plus inversely quadratic potential in a ...
Bound states of the Dirac equation for a class of effective quadratic plus inversely quadratic potentials
(Elsevier B.V., 2004-05-01)
The Dirac equation is exactly solved for a pseudoscalar linear plus Coulomb-like potential in a two-dimensional world. This sort of potential gives rise to an effective quadratic plus inversely quadratic potential in a ...
Exact scattering waves off nonlocal potentials under Coulomb interaction within Schrödinger's integro-differential equation
(Elsevier B.V., 2019)
© 2018 The Author(s) An exact solution for the scattering wavefunction from a nonlocal potential in the presence of Coulomb interaction is presented. The approach is based on the construction of a Coulomb Green's function ...
Effects of a mixed vector-scalar kink-like potential for spinless particles in two-dimensional space time
(World Scientific Publ Co Pte Ltd, 2007-06-20)
The intrinsically relativistic problem of spinless particles subject to a general mixing of vector and scalar kink- like potentials (similar to tanh gamma x) is investigated. The problem is mapped into the exactly solvable ...