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A new approach to perturbation theory for a Dirac particle in a central field

✍ Scribed by I.V. Dobrovolska; R.S. Tutik

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
68 KB
Volume
260
Category
Article
ISSN
0375-9601

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✦ Synopsis

The explicit semiclassical treatment of logarithmic perturbation theory for the bound-state problem within the framework of the Dirac equation is developed. Avoiding disadvantages of the standard approach in the description of exited states, new handy recursion formulae with the same simple form both for ground and exited states have been obtained. As an example, the perturbation expansions for the energy eigenvalues for the Yukawa potential containing the vector part as well as the scalar component are considered.

πŸ“œ SIMILAR VOLUMES

Perturbation theory for particle in a bo
Perturbation theory for particle in a box
✍ H. Kleinert; A. Chervyakov; B. Hamprecht πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 114 KB

Recently developed strong-coupling theory opens up the possibility of treating quantum-mechanical systems with hard-wall potentials via perturbation theory. To test the power of this theory we study here the exactly solvable quantum mechanics of a point particle in a one-dimensional box. Introducing