The $DKP$ equation in the Woods-Saxon potential well: Bound states
Boutheina Boutabia-Ch\'eraitia, Abdenacer Makhlouf
TL;DR
This paper solves the DKP equation within a Woods-Saxon potential well, analyzing bound and scattering states, and identifying conditions for transmission resonances and antiparticle bound states.
Contribution
It provides a detailed analysis of bound states and transmission resonances for the DKP equation in a Woods-Saxon potential, including the emergence of antiparticle states.
Findings
Bound state solutions are derived and characterized.
Transmission resonance conditions are established.
Antiparticle bound states are identified and discussed.
Abstract
We solve the Duffin-Kemmer-P\'{e}tiau equation in the presence of a spatially one-dimensional symmetric potential well. We compute the scattering state solutions and we derive conditions for transmission resonances. The bound solutions are derived by a graphic study and the appearance of the antiparticle bound state is discussed.
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Taxonomy
TopicsQuantum Mechanics and Non-Hermitian Physics · Advanced Chemical Physics Studies · Cold Atom Physics and Bose-Einstein Condensates