Quantum dynamics of relativistic bosons through nonminimal vector square potentials

Journal Article · Thu Sep 15 00:00:00 EDT 2016 · Annals of Physics

DOI:https://doi.org/10.1016/J.AOP.2016.06.004· OSTI ID:22617381

Oliveira, Luiz P. de,

The dynamics of relativistic bosons (scalar and vectorial) through nonminimal vector square (well and barrier) potentials is studied in the Duffin–Kemmer–Petiau (DKP) formalism. We show that the problem can be mapped in effective Schrödinger equations for a component of the DKP spinor. An oscillatory transmission coefficient is found and there is total reflection. Additionally, the energy spectrum of bound states is obtained and reveals the Schiff–Snyder–Weinberg effect, for specific conditions the potential lodges bound states of particles and antiparticles. - Highlights: • DKP bosons in a nonminimal vector square potential are studied. • Spin zero and spin one bosons have the same results. • The Schiff–Snyder–Weinberg effect is observed.

• OSTI ID: 22617381
• Journal Information: Annals of Physics, Vol. 372; Other Information: Copyright (c) 2016 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA); ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANTIPARTICLES
BOSONS
BOUND STATE
RELATIVISTIC RANGE
SCHROEDINGER EQUATION
SPIN
SPINORS