Erratum: Solution and hidden supersymmetry of a Dirac oscillator [Phys. Rev. Lett.<b>64</b>, 1643 (1990)]

Benitez, J. F.; Romero, R.; Núñez‐Yépez, H. N.; Salas‐Brito, A. L.

doi:10.1103/physrevlett.65.2085

Cited by 72 publications

(90 citation statements)

References 6 publications

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“…To obtain a physical model for the interaction term in the Hamiltonian of the Dirac oscillator we follow here the ideas of Moreno and Zentella (1989), see also Benítez et al (1990). Let us begin with a simple electrostatic problem.…”

Section: Properties Of the Dirac Oscillatormentioning

confidence: 99%

“…The Dirac oscillator has been also studied in connection with supersymmetric RQM, with quark confinement models in quantum chromodynamics (QCD) and with relativistic conformally invariant problems (Moreno and Zentella 1989, Benítez et al 1990, 1991, Martínez-y-Romero and SalasBrito 1991. On the other hand, as we hope to make clear in this work, the problem has interesting features which can make it a helpful example in RQM.…”

Section: Introductionmentioning

confidence: 99%

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Relativistic quantum mechanics of a Dirac oscillator

1995

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The Dirac oscillator is an exactly soluble model recently introduced in the context of many particle models in relativistic quantum mechanics. The model has been also considered as an interaction term for modelling quark confinement in quantum chromodynamics. These considerations should be enough for demonstrating that the Dirac oscillator can be an excellent example in relativistic quantum mechanics. In this paper we offer a solution to the problem and discuss some of its properties. We also discuss a physical picture for the Dirac oscillator's non-standard interaction, showing how it arises on describing the behaviour of a neutral particle carrying an anomalous magnetic moment and moving inside an uniformly charged sphere. ResumenEl oscilador de Dirac es un modelo exactamente resoluble que ha sido introducido recientemente en el contexto de la mecánica cuántica relativista de muchos cuerpos.El problema ha sido también explorado como posible fuente de un término de interacción para modelar confinamiento en cromodinámica cuántica. Estas consideraciones establecen sin lugar a dudas que el oscilador de Dirac puede servir como ejemplo interesante en mecánica cuántica relativista. Este artículo ofrece una solución al problema y la discusión de algunas de sus propiedades. También discutimos una imágen física que se ha introducido para el término de interacción del oscilador, mostrando como surge de considerar el comportamiento de una partícula neutra con momento magnético anómalo que se mueve dentro de una esfera cargada uniformemente.

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Section: Properties Of the Dirac Oscillatormentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Relativistic quantum mechanics of a Dirac oscillator

1995

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“…The Dirac oscillator in a commutative space is defined by the following substitution suggested by Ito et al [15] see also [16,17,18,19],…”

Section: The Dirac Oscillator In a Noncommutative Spacementioning

confidence: 99%

The Klein-Gordon and the Dirac Oscillators in a Noncommutative Space

Mirza

Mohadesi

2004

Commun. Theor. Phys.

151

127

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We study the Dirac and the klein-Gordon oscillators in a noncommutative space. It is shown that the Klein-Gordon oscillator in a noncommutative space has a similar behaviour to the dynamics of a particle in a commutative space and in a constant magnetic field. The Dirac oscillator in a noncommutative space has a similar equation to the equation of motion for a relativistic fermion in a commutative space and in a magnetic field, however a new exotic term appears, which implies that a charged fermion in a noncommutative space has an electric dipole moment.

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“…But, as the motivations of [29] were the similarities between light-cone singularities in quantum field theory with the singularity in (4), the results in [29] are not all related to the present discussion. Second, that Morales et al have mistaken the paper they cite (reference [21] in their paper, reference [30] in this work) for other of our papers dealing with the one-dimensional hydrogen atom, since [30] has nothing to do with the problem at hand. It deals with a solvable model in relativistic quantum mechanics, the Dirac oscillator, which at the time was thought to have applications in QCD.…”

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confidence: 76%

On Solvable Potentials, Supersymmetry, and the One-Dimensional Hydrogen Atom

Martínez‐y‐Romero¹,

Núñez‐Yépez²,

Salas‐Brito³

2010

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Abstract:The ways for improving on techniques for finding new solvable potentials based on supersymmetry and shape invariance has been discussed by Morales et al. [1] In doing so they address the peculiar system known as the one-dimensional hydrogen atom. In this paper we show that their remarks on such problem are mistaken. We do this by explicitly constructing both the one-dimensional Coulomb potential and the superpotential associated with the problem, objects whose existence are denied in the mentioned paper.

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Erratum: Solution and hidden supersymmetry of a Dirac oscillator [Phys. Rev. Lett.64, 1643 (1990)]

Cited by 72 publications

References 6 publications

Relativistic quantum mechanics of a Dirac oscillator

Relativistic quantum mechanics of a Dirac oscillator

The Klein-Gordon and the Dirac Oscillators in a Noncommutative Space

On Solvable Potentials, Supersymmetry, and the One-Dimensional Hydrogen Atom

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