0000000000424253

AUTHOR

A. G. Nikitin

showing 2 related works from this author

Exactly solvable relativistic model with the anomalous interaction

2010

A special class of Dirac-Pauli equations with time-like vector potentials of an external field is investigated. An exactly solvable relativistic model describing the anomalous interaction of a neutral Dirac fermion with a cylindrically symmetric external electromagnetic field is presented. The related external field is a superposition of the electric field generated by a charged infinite filament and the magnetic field generated by a straight line current. In the nonrelativistic approximation the considered model is reduced to the integrable Pron'ko-Stroganov model.

Electromagnetic fieldPhysicsSettore FIS/02 - Fisica Teorica Modelli E Metodi MatematiciMeccanica QuantisticaFermionRelativitàAtomic and Molecular Physics and OpticsSymmetry (physics)Settore FIS/03 - Fisica Della MateriaMagnetic fieldSuperposition principlesymbols.namesakeDirac fermionQuantum electrodynamicsElectric fieldsymbolsRelativistic wave equations
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Three-mode two-boson Jaynes–Cummings model in trapped ions

2006

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.

Condensed Matter::Quantum GasesStatistics and ProbabilityPhysicsSettore FIS/02 - Fisica Teorica Modelli E Metodi MatematiciJaynes–Cummings modelsuperposition (mathematics)modesGeneral Physics and AstronomyStatistical and Nonlinear PhysicsQuantum PhysicsSettore FIS/03 - Fisica Della MateriaIonsymbols.namesakeharmonic oscillatorModeling and SimulationQuantum mechanicsQuantum electrodynamicsHomogeneous spacesymbolsHamiltonian (quantum mechanics)Mathematical PhysicsEigenvalues and eigenvectorsBosonJournal of Physics A: Mathematical and Theoretical
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