Exactly solvable relativistic model with the anomalous interaction

Abstract

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

Matrix superpotentials and superintegrable systems for arbitrary spin

“…In fact the number of exactly solvable models with matrix superpotentials some of which have the clear physical significance is much more extended. Among them there are also the relativistic models discussed in [12] and many others. We plane to present such models in the following publications.…”

Quantum discord of two-qubitXstates

“…Recently the quantum discord has attracted much interest in quantum information theory [5][6][7][8][9] such as its relation with the complete positivity [10] and local broadcasting of the state [11]. Furthermore, both Markovian and non-Markovian dynamics of quantum discord have been analyzed not only in theory but also in experiments [12][13][14][15][16]. Whether the quantum discord can be more robust against decoherence [12,13] than entanglement or not [17] is still an open problem [17].…”

“…Furthermore, both Markovian and non-Markovian dynamics of quantum discord have been analyzed not only in theory but also in experiments [12][13][14][15][16]. Whether the quantum discord can be more robust against decoherence [12,13] than entanglement or not [17] is still an open problem [17].…”

“…States with vanishing quantum discord are relatively well understood and necessary and sufficient conditions are obtained to detect nonzero quantum discord [18] as well as nonlinear witnesses have been proposed both for a given state [19] and an unknown state [20]. Unfortunately almost all quantum states have nonzero quantum discords [12], which are notoriously difficult to compute because of the minimization over all possible positive operatorvalued measures (POVMs) or von Neumann measurements. In addition to a few analytical results including the Bell-diagonal states [21], rank-2 states [22], and gaussian states [23], a thorough numerical calculation [24] has also been carried out in the case of von Neumann mea- * Electronic address: cqtcq@nus.edu.sg † Electronic address: phyohch@nus.edu.sg surements for two-qubit states.…”

Quantum Correlations Induced by Local von Neumann Measurement

“…In bipartite system, discord [1,2] is first introduced to quantify quantum correlation, which is defined as the difference between two quantum analogues of the classical mutual information. It has been shown that almost all quantum states have nonvanishing discord [3]. Based on this, Ref.…”