Dipole transitions and Stark effect in the charge-dyon system

Mardoyan, L. G.; Nersessian, Armen; Sarkisyan, H. A.; Yeghikyan, Vahagn

doi:10.1088/1751-8113/40/22/014

Cited by 5 publications

(7 citation statements)

References 26 publications

(33 reference statements)

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“…We obtained linear in E and B corrections to the unperturbed spectrum of the ordinary MICZ-Kepler problem. The Stark effect in the charge-dyon system was calculated within the perturbation theory up to second order earlier in series of papers [10,15]. Here we investigated the first order corrections corresponding to magnetic field effect (linear Zeeman effect).…”

Section: Resultsmentioning

confidence: 99%

“…Putting B = 0 one obtains the well-known result of purely Stark effect in the charge-dyon system [10,15]. The third term in the expression corresponds to the linear Zeeman effect.…”

Section: The Perturbative First Order Corrections and Linear Zeeman Smentioning

confidence: 91%

“…Another difference between Coulomb systems and their MICZ-counterparts manifests itself in the behavior in external fields. So, one can observe the modification of the selection rules in the dipole transitions [9,10]. The investigations of the generalizations of the MICZ-Kepler system to the higher dimensions and/or curved spaces as well revealed their close similarity to the underlying Coulomb systems [7,11,12,13].…”

Section: Introductionmentioning

confidence: 99%

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Two-center quantum MICZ–Kepler system and the Zeeman effect in the charge–dyon system

Bellucci

Ohanyan

2008

Physics Letters A

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Communicated by P.R. HollandThe quantum two-center MICZ-Kepler system is considered in the limit when one of the interaction centers is situated at infinity, which leads to homogeneous electric and magnetic fields appearing in the system. The emerging system admits separation of variables in the Schrödinger equation and is integrable at the classical level. The first order corrections to the unperturbed spectrum of the ordinary MICZ-Kepler system are calculated. Particularly, the linear Zeeman effect and effects of MICZ-terms are analyzed. The possible realizations of the system in some quantum dots are considered.

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Section: Resultsmentioning

confidence: 99%

“…Putting B = 0 one obtains the well-known result of purely Stark effect in the charge-dyon system [10,15]. The third term in the expression corresponds to the linear Zeeman effect.…”

Section: The Perturbative First Order Corrections and Linear Zeeman Smentioning

confidence: 91%

Section: Introductionmentioning

confidence: 99%

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Two-center quantum MICZ–Kepler system and the Zeeman effect in the charge–dyon system

Bellucci

Ohanyan

2008

Physics Letters A

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“…For example, in the linear potential field eEr there is the linear Stark effect, similar to the hydrogen atom. However, in contrast with the latter one, the linear Stark effect completely removes the degeneracy on the azimuth quantum number [6,7], in contrast with the hydrogen atom. Particularly, the ground state is given by the expression…”

mentioning

confidence: 97%

“…This is consequence of the violation of P -parity by the magnetic monopole, and is the general feature of the quantum mechanical systems with monopoles (see [9,7] and the references in [10]). The specific effect of the choice of the Coulomb potential is hidden symmetry, essentially simplifying the analyses of the system.…”

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confidence: 99%

Generalizations of MICZ-Kepler system

Nersessian

2010

Phys. Atom. Nuclei

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We discuss the generalizations of the MICZ-Kepler system (the system describing the motion of the charged particle in the field of Dirac dyon), to the curved spaces, arbitrary potentials and to the multi-dyon background.The integrable system describing the motion of the charged particle in the field of Dirac dyon (magnetic monopole carrying the electric charge) has been suggested independently by Zwanziger [1] and by McIntosh and Cisneros [2] and presently is known as MICZ-Kepler system. It is defined by the following Hamiltonian

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Anisotropic inharmonic Higgs oscillator and related (MICZ-)Kepler-like systems

Nersessian¹,

Yeghikyan²

2008

J. Phys. A: Math. Theor.

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We propose the integrable (pseudo)spherical generalization of the four-dimensional anisotropic oscillator with additional nonlinear potential. Performing its Kustaanheimo-Stiefel transformation we then obtain the pseudospherical generalization of the MICZ-Kepler system with linear and cos θ potential terms. We also present the generalization of the parabolic coordinates, in which this system admits the separation of variables. Finally, we get the spherical analog of the presented MICZ-Kepler-like system.

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Dipole transitions and Stark effect in the charge-dyon system

Cited by 5 publications

References 26 publications

Two-center quantum MICZ–Kepler system and the Zeeman effect in the charge–dyon system

Two-center quantum MICZ–Kepler system and the Zeeman effect in the charge–dyon system

Generalizations of MICZ-Kepler system

Anisotropic inharmonic Higgs oscillator and related (MICZ-)Kepler-like systems

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