On the nonminimal vector coupling in the Duffin-Kemmer-Petiau theory and the confinement of massive bosons by a linear potential
arXiv:0905.2389 · doi:10.1088/1751-8113/43/5/055306
Abstract
Vector couplings in the Duffin-Kemmer-Petiau theory are revised. It is shown that minimal and nonminimal vector potentials behave differently under charge-conjugation and time-reversal transformations. In particular, it is shown that nonminimal vector potentials have been erroneously applied to the description of elastic meson-nucleus scatterings and that the space component of the nonminimal vector potential plays a crucial role for the confinement of bosons. The DKP equation with nonminimal vector linear potentials is mapped into the nonrelativistic harmonic oscillator problem and the behavior of the solutions for this sort of DKP oscillator is discussed in detail. Furthermore, the absence of Klein's paradox and the localization of bosons in the presence of nonminimal vector interactions are discussed.
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References in corpus (28)
- Remarks on Duffin-Kemmer-Petiau theory and gauge invariance
- QCD at large and short distances (annotated version)
- Asymptotic Iteration Method Solutions to the Relativistic Duffin-Kemmer-Petiau Equation
- On the Duffin-Kemmer-Petiau Formulation of the Covariant Hamiltonian Dynamics in Field Theory
- The Electromagnetic Coupling in Kemmer-Duffin-Petiau Theory
- Exact Solutions of the Duffin Kemmer Petiau Equation for the Deformed Hulthen Potential
- Bohmian trajectories for photons
- Duffin-Kemmer-Petiau Theory in the Causal Approach
- Duffin-Kemmer-Petiau and Klein-Gordon-Fock Equations for Electromagnetic, Yang-Mills and external Gravitational Field Interactions: proof of equivalence
- Quantum Mechanics of Klein-Gordon Fields I: Hilbert Space, Localized States, and Chiral Symmetry
- On Equivalence of Duffin-Kemmer-Petiau and Klein-Gordon Equations
- Interacting spin 0 fields with torsion via Duffin-Kemmer-Petiau theory
- Bose-Einstein Condensation and Free DKP field
- Spin 1 fields in Riemann-Cartan space-times "via" Duffin-Kemmer-Petiau theory
- An alternative model for the Duffin-Kemmer-Petiau oscillator
- Klein Paradox in Bosons
- On the uniqueness of paths for spin-0 and spin-1 quantum mechanics
- Massless DKP fields in Riemann-Cartan space-times
- Inconsistencies of a purported probability current in the Duffin-Kemmer-Petiau theory
- Energy Levels and Wave Functions of Vector Bosons in Homogeneous Magnetic Field
- Effects due to a scalar coupling on the particle-antiparticle production in the Duffin-Kemmer-Petiau theory
- Quantum Mechanics of Klein-Gordon Fields II: Relativistic Coherent States
- Comment on "Solutions of the Duffin-Kemmer-Petiau equation for a pseudoscalar potential step in (1+1) dimensions
- Massless DKP field in Lyra manifold
- Relativistic Aharonov-Casher Phase in Spin One
- Lorentz Invariant Superluminal Tunneling
- Conformal invariance of massless Duffin-Kemmer-Petiau theory in Riemannian space-times
- On some meaningful inner product for real Klein-Gordon fields with positive semi-definite norm
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- Noninertial effects on the quantum dynamics of scalar bosons
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- The DKP oscillator with a linear interaction in the cosmic string space-time
- Corroborating the equivalence between the Duffin-Kemmer-Petiau and the Klein-Gordon and Proca equations
- Spinless bosons embedded in a vector Duffin-Kemmer-Petiau oscillator
- Bound states of the Duffin-Kemmer-Petiau equation with a mixed minimal-nonminimal vector cusp potential
- Remarks on the spin-one Duffin-Kemmer-Petiau equation in the presence of nonminimal vector interactions in (3+1) dimensions
- A note on Duffin-Kemmer-Petiau equation in (1+1) space-time dimensions
- Comment on "Solutions of the Duffin-Kemmer-Petiau equation for a pseudoscalar potential step in (1+1) dimensions
- On the Dirac equation with PT-symmetric potentials in the presence of position-dependent mass
- Lorentz-violating extension of the spin-one Duffin-Kemmer-Petiau equation
- Thermodynamics Quantities for the Klein-Gordon Equation with a Linear plus Inverse-linear Potential: Biconfluent Heun functions
- Approximate solution of the Duffin-Kemmer-Petiau equation for a vector Yukawa potential with arbitrary total angular momenta
- An effective singular oscillator for Duffin-Kemmer-Petiau particles with a nonminimal vector coupling: a two-fold degeneracy
- New solutions of the D-dimensional Klein-Gordon equation via mapping onto the nonrelativistic one-dimensional Morse potential
- Relativistic quantum dynamics of scalar bosons under a full vector Coulomb interaction
- On Duffin-Kemmer-Petiau particles with a mixed minimal-nonminimal vector coupling and the nondegenerate bound states for the one-dimensional inversely linear background
- Relativistic quantum dynamics of vector bosons in an Aharonov-Bohm potential
- The superradiance phenomenon in spin-one particles
- Scattering and bound states of spin-0 particles in a nonminimal vector double-step potential
- Quantum dynamics of relativistic bosons through nonminimal vector square potentials
- The spin-one DKP Equation with a nonminimal vector interaction in the presence of minimal uncertainty in momentum
- Quasi-exactly-solvable confining solutions for spin-1 and spin-0 bosons in (1+1)-dimensions with a scalar linear potential
- Transmission coefficient and two-fold degenerate discrete spectrum of spin-1 bosons in a double-step potential
- Generalized solutions of the Dirac equation, W bosons, and beta decay
- Duffin-Kemmer-Petiau particle in a vector exponential-like decaying field with any arbitrary -state
- The spin-one Duffin-Kemmer-Petiau equation revisited: analytical study of its structure and a careful choice of interaction
- On the linear forms of the Schrodinger equation