Motion of Charged Particles in a Homogeneous Magnetic Field

Tsai, Wen‐Tien; Yildiz, Asim

doi:10.1103/physrevd.4.3643

Cited by 83 publications

(58 citation statements)

References 14 publications

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“…Neither in the SakataTaketani representation nor with other transformation methods (see [32,41]) this problem has been solved. Moreover, the problem of consistency of the quantum mechanics of spin particles had been discussed for several years (see [32,42,43] and the references therein).…”

Section: Example: Relativistic Particles In a Uniform Fieldmentioning

confidence: 99%

Comparative analysis of direct and “step-by-step” Foldy-Wouthuysen transformation methods

Silenko

2013

Theor Math Phys

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Relativistic methods for the FoldyWouthuysen transformation of the step-by-step type already at the first step give an expression for the Hamilton operator not coinciding with the exact result determined by the Eriksen method. The methods agree for the zeroth and first orders in the Planck constant terms but do not agree for the second and higher-order terms. We analyze the benefits and drawbacks of various methods and establish their applicability boundaries.

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Section: Example: Relativistic Particles In a Uniform Fieldmentioning

confidence: 99%

Comparative analysis of direct and “step-by-step” Foldy-Wouthuysen transformation methods

Silenko

2013

Theor Math Phys

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“…In passing, we observe that, as expected, starting from the spherically symmetric wavefunction given in (15), the dynamics preserves such a symmetry at any instant of time.…”

Section: Time Evolutionsmentioning

confidence: 90%

“…In addition to the individualization of the eigenvalue structure ofĤ int , equation (B.1) strongly suggests the existence of a Foldy-Wouthuysen-like transformation (FWT) able to diagonalize our Hamiltonian model [14,15]. Such a circumstance is related to a hidden higher derivative supersymmetry the system possesses.…”

Section: Appendix B Foldy-wouthuysen-like Transformationmentioning

confidence: 99%

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Three-mode two-boson Jaynes–Cummings model in trapped ions

Galkin¹,

Nikitin²,

Messina³

2006

J. Phys. A: Math. Theor.

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In this paper, we analyse a two-boson three-mode Jaynes-Cummings model which can be implemented in the context of trapped ions. The symmetries of the Hamiltonian are brought to light and analysed in detail in order to solve the eigenvalue problem. The calculation of the time evolution operator shows the possibility of realizing interesting applications, such as the generation of nonclassical states.

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“…They are valuable tools in determining the radiative contributions to the energy. The quantum mechanics of charged, massive, and spin-1 particles in an external field has been studied in many different situations using different techniques [1][2][3][4][5]. These works have especially investigated the solutions of the equation in a magnetic field.…”

Section: Introductionmentioning

confidence: 99%

Exact solutions of a two-dimensional Kemmer oscillator in the gravitational field of cosmic string

Messai

Boumali

2015

Eur. Phys. J. Plus

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The two dimensional Kemmer oscillator under the influence of the gravitational field produced by a topology such as the cosmic string spacetime and in the presence of a uniform magnetic field as well as without magnetic field are investigated. The eigensolutions of our problem have been found by using the generalized parametric Nikiforov-Uvarov (NU) method, and the influence of the cosmic string space-time on the energy spectrum has been analyzed. We show that the dependence of the energy levels of the quantum system with the angular deficit α, which characterizes the global structure of the metric in the cosmic string spacetime, breaks the degeneracy of these levels.

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Motion of Charged Particles in a Homogeneous Magnetic Field

Cited by 83 publications

References 14 publications

Comparative analysis of direct and “step-by-step” Foldy-Wouthuysen transformation methods

Comparative analysis of direct and “step-by-step” Foldy-Wouthuysen transformation methods

Three-mode two-boson Jaynes–Cummings model in trapped ions

Exact solutions of a two-dimensional Kemmer oscillator in the gravitational field of cosmic string

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