Spinless bosons embedded in a vector Duffin-Kemmer-Petiau oscillator
arXiv:1106.0185 · doi:10.1016/j.physleta.2011.05.067
Abstract
Some properties of minimal and nonminimal vector interactions in the Duffin-Kemmer-Petiau (DKP) formalism are discussed. The conservation of the total angular momentum for spherically symmetric nonminimal potentials is derived from its commutation properties with each term of the DKP equation and the proper boundary conditions on the spinors are imposed. It is shown that the space component of the nonminimal vector potential plays a crucial role for the confinement of bosons. The exact solutions for the vector DKP oscillator (nonminimal vector coupling with a linear potential which exhibits an equally spaced energy spectrum in the weak-coupling limit) for spin-0 bosons are presented in a closed form and it is shown that the spectrum exhibits an accidental degeneracy.
References in corpus (1)
Cited by in corpus (18)
- Noninertial effects on the quantum dynamics of scalar bosons
- Quantum dynamics of scalar bosons in a cosmic string background
- 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
- Relativistic spin-0 Duffin-Kemmer-Petiau equation in Bonnor-Melvin-Lambda solution
- Remarks on the spin-one Duffin-Kemmer-Petiau equation in the presence of nonminimal vector interactions in (3+1) dimensions
- DKP oscillator in the presence of a spinning cosmic string
- Splitting frequency of the (2+1)-dimensional Duffin-Kemmer-Petiau oscillator in an external magnetic field
- An effective singular oscillator for Duffin-Kemmer-Petiau particles with a nonminimal vector coupling: a two-fold degeneracy
- Aharonov-Bohm effect on the generalized Duffin-Kemmer-Petiau oscillator in the Som-Raychaudhuri space-time
- Approximate solution of the Duffin-Kemmer-Petiau equation for a vector Yukawa potential with arbitrary total angular momenta
- 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
- Quantum dynamics of relativistic bosons through nonminimal vector square potentials
- Scattering and bound states of spin-0 particles in a nonminimal vector double-step potential
- Transmission coefficient and two-fold degenerate discrete spectrum of spin-1 bosons in a double-step potential
- Duffin-Kemmer-Petiau particle in a vector exponential-like decaying field with any arbitrary -state
- On the linear forms of the Schrodinger equation