Solution of the central field problem for a Duffin–Kemmer–Petiau vector boson

Nedjadi, Youcef; Barrett, R. C.

doi:10.1063/1.530801

Cited by 69 publications

(38 citation statements)

References 12 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Because within the framework of the DKP equation the total angular momentum J = L +h s is conserved, the spatial variables for the components of the wave function (14) are separated and we can write [22] …”

Section: Exact Solutions To the Derived Equationmentioning

confidence: 99%

An Alternative Model for the Duffin–kemmer–petiau Oscillator

2005

View full text Add to dashboard Cite

A new oscillator model with different form of the nonminimal substitution within the framework of the DuffinKemmer-Petiau equation is offered. The model possesses exact solutions and a discrete spectrum of high degeneracy. The distinctive property of the proposed model is the lack of the spin-orbit interaction, being typical for other relativistic models with the non-minimal substitution, and the different value of the zero-point energy in comparison with that for the Duffin-Kemmer-Petiau oscillator described in the literature.

show abstract

Section: Exact Solutions To the Derived Equationmentioning

confidence: 99%

An Alternative Model for the Duffin–kemmer–petiau Oscillator

2005

View full text Add to dashboard Cite

show abstract

“…The condition (27) can be solved by the graphical method and the numerical solutions are show in the figure 2. The nonminimal vector coupling is impossible in Klein-Gordon equation and we can observe this fact in the bound states spectrum.…”

Section: Scalar Bosonsmentioning

confidence: 99%

Quantum dynamics of relativistic bosons through nonminimal vector square potentials

Oliveira

2016

Annals of Physics

View full text Add to dashboard Cite

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.

show abstract

“…It is true that the first line of (27) furnishes |C (σ) | = |D (σ) |. It has to be so since the charge current density J 1 vanishes in the region |x| > a whereas in the region |x| < a it takes the form:…”

Section: Bound Statesmentioning

confidence: 99%

Transmission coefficient and two-fold degenerate discrete spectrum of spin-1 bosons in a double-step potential

Oliveira

Castro

2015

Int. J. Mod. Phys. E

View full text Add to dashboard Cite

The scattering of spin-1 bosons in a nonminimal vector double-step potential is described in terms of eigenstates of the helicity operator and it is shown that the transmission coefficient is insensitive to the choice of the polarization of the incident beam. Poles of the transmission amplitude reveal the existence of a two-fold degenerate spectrum. The results are interpreted in terms of solutions of two coupled effective Schrödinger equations for a finite square well with additional δ-functions situated at the borders.

show abstract

Solution of the central field problem for a Duffin–Kemmer–Petiau vector boson

Cited by 69 publications

References 12 publications

An Alternative Model for the Duffin–kemmer–petiau Oscillator

An Alternative Model for the Duffin–kemmer–petiau Oscillator

Quantum dynamics of relativistic bosons through nonminimal vector square potentials

Transmission coefficient and two-fold degenerate discrete spectrum of spin-1 bosons in a double-step potential

Contact Info

Product

Resources

About