2 3 M ay 2 00 7 Dirac equation exact solutions for generalized asymmetrical Hartmann potentials
نویسندگان
چکیده
In this work we solve the Dirac equation by constructing the exact bound state solutions for a mixing of generalized vector and scalar Hartmann potentials. This is done provided the vector and scalar potentials hold some relation. Namely, one must be equals to or minus the other. Finally the case of some quasi-exactly solvable potentials are briefly commented.
منابع مشابه
ua nt - p h / 04 05 17 2 v 1 2 8 M ay 2 00 4 Scattering in highly singular potentials
Recently, in Quantum Field theory, there has been an interest in scattering in highly singular potentials. Here, solutions to the stationary Schrödinger equation are presented when the potential is a multiple of an arbitrary positive power of the Dirac delta distribution. The one dimensional, and spherically symmetric three dimensional cases are dealt with. 1. One space dimension In Rosinger [4...
متن کاملSADDLE POINT VARIATIONAL METHOD FOR DIRAC CONFINEMENT
A saddle point variational (SPV ) method was applied to the Dirac equation as an example of a fully relativistic equation with both negative and positive energy solutions. The effect of the negative energy states was mitigated by maximizing the energy with respect to a relevant parameter while at the same time minimizing it with respect to another parameter in the wave function. The Cornell pot...
متن کامل7 N ov 2 00 5 Double scaling limit for matrix models with non analytic potentials
We prove the existence of the double scaling limit for unitary invariant ensembles of random matrices with non analytic potentials. The limiting reproducing kernel is expressed in terms of solutions of the Dirac system of differential equations with a potential defined by the Hastings-McLeod solution of the Painleve II equation. Our approach is based on the construction of the perturbation expa...
متن کاملM ay 2 00 7 Asymmetric potentials and motor effect : a large deviation approach
We provide a mathematical analysis of appearance of the concentrations (as Dirac masses) of the solution to a Fokker-Planck system with asymmetric potentials. This problem has been proposed as a model to describe motor proteins moving along molecular filaments. The components of the system describe the densities of the different conformations of the proteins. Our results are based on the study ...
متن کاملM ay 2 00 3 Dynamical fermions as a global correction
In the simplified setting of the Schwinger model we present a systematic study on the simulation of dynamical fermions by global accept/reject steps that take into account the fermion determinant. A family of exact algorithms is developed, which combine stochastic estimates of the determinant ratio with the exploitation of some exact extremal eigenvalues of the generalized problem defined by th...
متن کامل