Duffin-Kemmer-Petiau equation under a scalar Coulomb interaction

Hassanabadi, H.; Yazarloo, B. H.; Zarrinkamar, S.; Rajabi, A. A.

doi:10.1103/physrevc.84.064003

Cited by 78 publications

(26 citation statements)

References 42 publications

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“…Due to weak potentials, relativistic effects are considered to be small in solid state physics, but the relativistic wave equations can give relativistic corrections to the results obtained from the nonrelativistic wave equation, therefore the relativistic extension of this problem is also of interest and remains unexplored. The scalar interaction in the context of the DKP theory has been reported in the literature for a smooth step potential [11], step potential [12], 15 Coulomb potential [13] and linear potential [14]. In Ref.…”

Section: Introductionmentioning

confidence: 98%

Quasi-exactly-solvable confining solutions for spin-1 and spin-0 bosons in(1+1)-dimensions with a scalar linear potential

Castro

2014

Annals of Physics

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We point out a misleading treatment in the recent literature regarding confining solutions for a scalar potential in the context of the Duffin-Kemmer-Petiau theory. We further present the proper bound-state solutions in terms of the generalized Laguerre polynomials and show that the eigenvalues and eigenfunctions depend on the solutions of algebraic equations involving the potential parameter and the quantum number.

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Section: Introductionmentioning

confidence: 98%

Quasi-exactly-solvable confining solutions for spin-1 and spin-0 bosons in(1+1)-dimensions with a scalar linear potential

Castro

2014

Annals of Physics

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“…On the other hand, the Coulomb problem has been intensively studied because of its intrinsic interest and also for applications in different research fields. The Coulomb problem in the context of the DKP equation has been reported in the literature for minimal vector Coulomb interaction [37][38][39] and for scalar Coulomb interaction [40]. To the best of our knowledge, no one has reported on the solution of scalar bosons with a full vector Coulomb interaction.…”

Section: Introductionmentioning

confidence: 99%

Relativistic quantum dynamics of scalar bosons under a full vector Coulomb interaction

et al. 2017

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The relativistic quantum dynamics of scalar bosons in the background of a full vector coupling (minimal plus nonminimal vector couplings) is explored in the context of the Duffin-Kemmer-Petiau formalism. The Coulomb phase shift is determined for a general mixing of couplings and it is shown that the space component of the nonminimal coupling is a sine qua non condition for the exact closed-form scattering amplitude. It follows that the Rutherford cross section vanishes in the absence of the time component of the minimal coupling. Bound-state solutions obtained from the poles of the partial scattering amplitude show that the time component of the minimal coupling plays an essential role. The bound-state solutions depend on the nonminimal coupling and the spectrum consists of particles or antiparticles depending on the sign of the time component of the minimal coupling without chance for pair production even in the presence of strong couplings. It is also shown that an accidental degeneracy appears for a particular mixing of couplings.

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“…In addition, several situations researched in past years involving hadronic process and breaking of symmetries show that in some situations the DKP equation and KG equation can give some different results. For these reasons, there has been a growing interest in studying the DKP equation [7][8][9][10][11][12][13].…”

Section: Introductionmentioning

confidence: 99%

On the Thermodynamic Properties of the Spinless Duffin-Kemmer-Petiau Oscillator in Noncommutative Plane

Wang

Long

et al. 2015

Advances in High Energy Physics

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The Duffin-Kemmer-Petiau oscillator for spin 0 particle in noncommutative plane is analyzed and the energy eigenvalue of the system is obtained by employing the functional analysis method. Furthermore, the thermodynamic properties of the noncommutative DKP oscillator are investigated via numerical method and the influence of noncommutative space on thermodynamic functions is also discussed. We show that the energy spectrum and corresponding thermodynamic functions of the considered physical systems depend explicitly on the noncommutative parameter which characterizes the noncommutativity of the space.

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Duffin-Kemmer-Petiau equation under a scalar Coulomb interaction

Cited by 78 publications

References 42 publications

Quasi-exactly-solvable confining solutions for spin-1 and spin-0 bosons in(1+1)-dimensions with a scalar linear potential

Quasi-exactly-solvable confining solutions for spin-1 and spin-0 bosons in(1+1)-dimensions with a scalar linear potential

Relativistic quantum dynamics of scalar bosons under a full vector Coulomb interaction

On the Thermodynamic Properties of the Spinless Duffin-Kemmer-Petiau Oscillator in Noncommutative Plane

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