Zobrazeno 1 - 10
of 88
pro vyhledávání: '"Granados, V. D."'
Publikováno v:
Mod. Phys. Lett. A 36 (2021) 2150066
In this paper we study the $(2+1)$-dimensional Klein-Gordon oscillator coupled to an external magnetic field, in which we change the standard partial derivatives for the Dunkl derivatives. We find the energy spectrum (Landau levels) in an algebraic w
Externí odkaz:
http://arxiv.org/abs/2009.06406
Publikováno v:
Mod. Phys. Lett. A 36 (2021) 2150171
We introduce the Dunkl--Klein--Gordon (DKG) equation in 2D by changing the standard partial derivatives by the Dunkl derivatives in the standard Klein--Gordon (KG) equation. We show that the generalization with Dunkl derivative of the $z$-component o
Externí odkaz:
http://arxiv.org/abs/2008.13204
Publikováno v:
Modern Physics Letters A 2050255, 2020
We extend the $(1+1)$-dimensional Dirac-Moshinsky oscillator by changing the standard derivative by the Dunkl derivative. We demonstrate in a general way that for the Dirac-Dunkl oscillator be parity invariant, one of the spinor component must be eve
Externí odkaz:
http://arxiv.org/abs/2003.08975
Publikováno v:
J. Math. Phys. 60, 111704 (2019)
In this paper we develop a general method to obtain the Berry phase of time-dependent Hamiltonians with a linear structure given in terms of the $SU(1,1)$ and $SU(2)$ groups. This method is based on the similarity transformations of the displacement
Externí odkaz:
http://arxiv.org/abs/1908.00190
Publikováno v:
Annals of Physics 411 (2019) 167964
In this paper we study the $(2+1)$-dimensional Dirac-Dunkl oscillator coupled to an external magnetic field. Our Hamiltonian is obtained from the standard Dirac oscillator coupled to an external magnetic field by changing the partial derivatives by t
Externí odkaz:
http://arxiv.org/abs/1812.05207
Publikováno v:
Eur. Phys. J. D (2018) 72: 142
We study and exactly solve the two-photon and k-photon Jaynes-Cummings models by using a novelty algebraic method. This algebraic method is based on the Pauli matrices realization and the tilting transformation of the $SU(2)$ group and let us diagona
Externí odkaz:
http://arxiv.org/abs/1803.03206
Publikováno v:
Journal of Mathematical Physics 59, 073506 (2018)
We study the Tavis-Cummings model with three modes of oscillation by using four different algebraic methods: the Bogoliubov transformation, the normal-mode operators, and the tilting transformation of the $SU(1,1)$ and $SU(2)$ groups. The algebraic m
Externí odkaz:
http://arxiv.org/abs/1710.10945
Publikováno v:
Mod. Phys. Lett. A, 34 (2019) 1950028
By modifying and generalizing known supersymmetric models we are able to find four different sets of one-dimensional Hamiltonians for the inverted harmonic oscillator. The first set of Hamiltonians is derived by extending the supersymmetric quantum m
Externí odkaz:
http://arxiv.org/abs/1707.09082
Publikováno v:
Ann. Phys. 387 (2017) 121-134
We introduce two generalizations of the Jaynes-Cummings (JC) model for two modes of oscillation. The first model is formed by two Jaynes-Cummings interactions, while the second model is written as a simultaneous Jaynes-Cummings and Anti-Jaynes-Cummin
Externí odkaz:
http://arxiv.org/abs/1704.05778
Publikováno v:
Eur. Phys. J. Plus (2017) 132: 39
We study the Dunkl oscillator in two dimensions by the $su(1,1)$ algebraic method. We apply the Schr\"odinger factorization to the radial Hamiltonian of the Dunkl oscillator to find the $su(1,1)$ Lie algebra generators. The energy spectrum is found b
Externí odkaz:
http://arxiv.org/abs/1607.06169