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We study the dynamical response of a spinor Bose condensate under the influence of external magnetic fields which have both a random and a time varying systematic component. We find that the external noise may eventually destroy the Rabi oscillation and dynamical spin localization. The...
The analytic solution for the time stationary non-monotonic double layer in a weak relativistic plasma is presented. This solution is the analytic extension of the monotonic double layer and the solitary hole. We have derived the modified Korteweg–de Vries (mK-dV) equation in a plasma, taking...
It is shown that the dispersionless scalar integrable hierarchies and, in general, the universal Whitham hierarchy are nothing but classes of integrable deformations of quasiconformal mappings on the plane. Examples of deformations of quasiconformal mappings associated with explicit solutions of...
We discuss the role of excited states of a neutral gas which is photoionized in the regime of the barrier suppression ionization when the photoelectrons of the created plasmas remain in its memory on the intra-atomic electron distribution. We obtain the strong enhancement of the inverse...
In this Letter, we find traveling wave solutions to some nonlinear partial differential equations via using a new ansatz.
We suggest a new approximation for evaluating the thermodynamical and structural characteristics of lattice gases with attractive nearest neighbor interactions. Mean potentials, which nullify the two-vertex diagram contributions to the free energy diagram expansion, are introduced. The...
Changes in the electronic band structure at charge carriers autolocalization due to electron–phonon interaction are reported. Their possible manifestation in ARPES and influence on the crystal structure are discussed.
The prototypical Schrödinger cat state, i.e., an initial state corresponding to two widely separated Gaussian wave packets, is considered. The decoherence time is calculated solely within the framework of elementary quantum mechanics and equilibrium statistical mechanics. This is at variance...
In order to perform numerical studies of long-term stability in nonlinear Hamiltonian systems, one needs a numerical integration algorithm which is symplectic. Further, this algorithm should be fast and accurate. In this Letter, we propose such a symplectic integration algorithm using polynomial...
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