Effects of a mixed vector-scalar kink-like potential for spinless particles in two-dimensional space time
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Data
2007-06-20
Autores
De Castro, Antonio S. [UNESP]
Título da Revista
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Editor
World Scientific Publ Co Pte Ltd
Resumo
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 Sturm - Liouville problem with the Rosen - Morse potential and exact bounded solutions for particles and antiparticles are found. The behavior of the spectrum is discussed in some detail. An apparent paradox concerning the uncertainty principle is solved by recurring to the concept of effective Compton wavelength.
Descrição
Palavras-chave
Klein-Gordon equation, Rosen-Morse potential, kink-like potential, Compton wavelength, vector potential, Klein paradox, scalar potential
Como citar
International Journal of Modern Physics A. Singapore: World Scientific Publ Co Pte Ltd, v. 22, n. 14-15, p. 2609-2618, 2007.