Dirac Bound States of the Killingbeck Potential Under External Magnetic Fields

Sharifi, Z.; Tajic, Fateme; Hamzavi, Majid; Ikhdair, Sameer M.

doi:10.1515/zna-2015-0021

Cited by 12 publications

(19 citation statements)

References 42 publications

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“…Recently, a considerable interest, in the mass dependence on the inter-nuclear distance, has been revived in solving different equations with various physical potential models [18][19][20][21][22][23][24][25][26][27][28][29]. Furthermore, a number of works takes the effect of an electric or magnetic fields into account in studying different systems [30][31][32][33][34]. For further study we cite Refs.…”

Section: Introductionmentioning

confidence: 99%

Energy states of the Hulthen plus Coulomb-like potential with position-dependent mass function in external magnetic fields

2018

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We need to solve a suitable exponential form of the position-dependent mass (PDM) Schrödinger equation with a charged particle placed in the Hulthen plus Coulomb-like potential field and under the influence of the external magnetic and Aharonov-Bohm (AB) flux fields. The bound state energies and their corresponding wave functions are calculated for spatiallydependent mass distribution function of a physical interest. A few plots of some numerical results to the energy are shown.

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Section: Introductionmentioning

confidence: 99%

Energy states of the Hulthen plus Coulomb-like potential with position-dependent mass function in external magnetic fields

2018

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“…the superposition of pseudo-harmonic, linear and Columbic potential forms [62], the Coulomb plus linear [63], the anharmonic oscillator [64], the Hulthen [65], the Coulomb-like [66] and the Killingbeck potentials [67] in the presence of the external magnetic and AB flux fields.…”

Section: Introductionmentioning

confidence: 99%

Relativistic Killingbeck energy states under external magnetic fields

2016

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We address the behavior of the Dirac equation with the Killingbeck radial potential including the external magnetic and Aharonov-Bohm (AB) flux fields. The spin and pseudo-spin symmetries are considered. The correct bound state spectra and their corresponding wave functions are obtained. We seek such a solution using the biconfluent Heun's differential equation method. Further, we give some of our results at the end of this study. Our final results can be reduced to their non-relativistic forms by simply using some appropriate transformations. The spectra, in the spin and pseudo-spin symmetries, are very similar with a slight difference in energy spacing between different states.

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“…where B and AB  are the magnetic and AB flux fields. It has been used in quantum dot and quantum pseudot [20,37,43].…”

Section: Solution Of Schrodinger Equation For Two Physical Pdm Functionsmentioning

confidence: 99%

“…It is interesting that nearly all analytic solutions of the non-relativistic equation have been expressed in terms of hypergeometric functions [13][14][15]. However, for a large number of potentials of physical importance used into the Schrödinger equation or the perturbations into Dirac and Dirac-Weyl equations may be transformed into the form of the Heun equation [16][17][18][19][20].…”

Section: Introductionmentioning

confidence: 99%

Approximate energies and thermal properties of a position-dependent mass charged particle under external magnetic fields

2017

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We solve the Schrödinger equation with a position-dependent mass (PDM) charged particle interacted via the superposition of the Morse and Coulomb potentials and exposed to external magnetic and Aharonov-Bohm (AB) flux fields. The non-relativistic bound state energies together with their wave functions are calculated for two spatially-dependent mass distribution functions. We also study the thermal quantities of such a system. Further, the canonical formalism is used to compute various thermodynamic variables for second choosing mass by using the Gibbs formalism. We give plots for energy as a function of various physical parameters. The behavior of the internal energy, specific heat and entropy as functions of temperature and mass density parameter in the inverse-square mass case for different values of magnetic field are shown.

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Dirac Bound States of the Killingbeck Potential Under External Magnetic Fields

Cited by 12 publications

References 42 publications

Energy states of the Hulthen plus Coulomb-like potential with position-dependent mass function in external magnetic fields

Energy states of the Hulthen plus Coulomb-like potential with position-dependent mass function in external magnetic fields

Relativistic Killingbeck energy states under external magnetic fields

Approximate energies and thermal properties of a position-dependent mass charged particle under external magnetic fields

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