Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8203105 | Physics Letters A | 2018 | 6 Pages |
Abstract
We present the first exact calculation of the energy of the bound state of a one dimensional Dirac massive particle in weak short-range arbitrary potentials, using perturbation theory to fourth order (the analogous result for two dimensional systems with confinement along one direction and arbitrary mass is also calculated to second order). We show that the non-perturbative extension obtained using Padé approximants can provide remarkably good approximations even for deep wells, in certain range of physical parameters. As an example, we discuss the case of two gaussian wells, comparing numerical and analytical results, predicted by our formulas.
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Physical Sciences and Engineering
Physics and Astronomy
Physics and Astronomy (General)
Authors
Paolo Amore, Francisco M. Fernández, Enrique Jiménez,