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The motion of charged particles in a crystal in the axial channeling regime can be both regular and chaotic. The chaos in quantum case manifests itself in the statistical properties of the energy levels set. These properties have been…

Accelerator Physics · Physics 2020-01-14 N. F. Shul'ga , V. V. Syshchenko , A. I. Tarnovsky , V. I. Dronik , A. Yu. Isupov

The motion of fast electrons through the crystal during axial channeling could be regular and chaotic. The dynamical chaos in quantum systems manifests itself in both statistical properties of energy spectra and morphology of wave functions…

Accelerator Physics · Physics 2018-02-26 N. F. Shul'ga , V. V. Syshchenko , A. I. Tarnovsky , I. I. Solovyev , A. Yu. Isupov

The motion of charged particles in a crystal in the axial channeling regime can be both regular and chaotic. The chaos in quantum case manifests itself in the statistical properties of the energy levels set. These properties have been…

Accelerator Physics · Physics 2024-05-28 V. V. Syshchenko , A. I. Tarnovsky , V. I. Dronik , A. Yu. Isupov

We investigate the classical-quantum correspondence for particle motion in a superlattice in the form of a 2D channel with periodic modulated boundaries. Its classical dynamics undergoes the generic transition to chaos of Hamiltonian…

Disordered Systems and Neural Networks · Physics 2009-11-07 G. A. Luna-Acosta , J. A. Méndez-Bermúdez , F. M. Izrailev

A new kinetic instability which results in formation of charge density waves is proposed. The instability is of a purely classical nature. A spatial period of arising space-charge and field configuration is inversely proportional to…

Soft Condensed Matter · Physics 2009-11-07 V. Yu. Kachorovskii , I. S. Lioublinskii , L. D. Tsendin

We discuss recent developments in the study of quantum wavefunctions and transport in classically ergodic systems. Surprisingly, short-time classical dynamics leaves permanent imprints on long-time and stationary quantum behavior, which are…

chao-dyn · Physics 2009-08-14 L. Kaplan

Our work presents a study on the nonlinear dynamical behavior for a microcavity semiconductor containing a quantum well. Using an external periodic perturbation in energy level we observe the periodic-doubling, quasiperiodic, and direct…

Chaotic Dynamics · Physics 2015-06-04 Hichem Eleuch , Awadhesh Prasad

It is shown using numerical simulation that classical charged tachyons have several features normally thought to be unique to quantum mechanics. Spin-like self-orbiting helical motions are shown to exist at discrete values for the velocity…

Quantum Physics · Physics 2007-05-23 Mark P Davidson

We consider crystal formation of particles with dipole-dipole interactions that are confined to move in a one-dimensional helical geometry with their dipole moments oriented along the symmetry axis of the confining helix. The stable…

Quantum Gases · Physics 2014-08-12 J. K. Pedersen , D. V. Fedorov , A. S. Jensen , N. T. Zinner

The quantization of the transverse motion energy in the continuous potentials of atomic strings and planes can take place under passage of fast charged particles through crystals. The energy levels for electron moving in axial channeling…

Accelerator Physics · Physics 2013-08-19 N. F. Shul'ga , V. V. Syshchenko , V. S. Neryabova

Wavefunctions in chaotic and disordered quantum billiards are studied experimentally using thin microwave cavities. The chaotic wavefunctions display universal density distributions and density auto-correlations in agreement with…

chao-dyn · Physics 2016-08-31 A. Kudrolli , V. Kidambi , S. Sridhar

The paper consider a complex dynamics of electron beam with virtual cathode and local neutralization of the beam charge density near anode. Different types of nonlinear behaviour, including deterministic chaos, were treated. It is shown…

Plasma Physics · Physics 2007-05-23 V. G. Anfinogentov , A. E. Hramov

The processes in nonequilibrium dissipative media caused by coherent structure formation and lead to the complicated dynamics are of interest for nonlinear physics. Here we consider a model of the flow of interacting electronics patterns.…

chao-dyn · Physics 2008-02-03 E. S. Mchedlova , D. I. Trubetskov

Special quantum states exist which are quasiclassical quantizations of regions of phase space that are weakly chaotic. In a weakly chaotic region, the orbits are quite regular and remain in the region for some time before escaping and…

Chaotic Dynamics · Physics 2009-10-31 R. E. Prange , R. Narevich , Oleg Zaitsev

Following recent evidence that the vortices in decaying two-dimensional turbulence can be classified into small--mobile, and large--quasi-stationary, this paper examines the evidence that the latter might be considered a `crystal' whose…

Fluid Dynamics · Physics 2021-08-04 Javier Jiménez

The family of solutions to the Dirac equation for an electron moving in an electromagnetic lattice with the chiral structure created by counterpropagating circularly polarized plane electromagnetic waves is obtained. At any nonzero…

Quantum Physics · Physics 2017-11-08 G. N. Borzdov

We consider the motion of ballistic electrons within a superlattice miniband under the influence of an alternating electric field. We show that the interaction of electrons with the self-consistent electromagnetic field generated by the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Kirill N. Alekseev , Gennady P. Berman , David K. Campbell

The character of motion (regular or chaotic) on the quantum level manifests itself in the statistics of the set of the system's energy levels. The completely regular case generates the sequence of the levels with exponential (Poisson) level…

Accelerator Physics · Physics 2024-05-29 V. V. Syshchenko , A. I. Tarnovsky , A. Yu. Isupov

The classical dynamics of two electrons in the Coulomb potential of an attractive nucleus is chaotic in large parts of the high-dimensional phase space. Quantum spectra of two-electron atoms, however, exhibit structures which clearly hint…

Chaotic Dynamics · Physics 2009-11-10 Min-Ho Lee , Gregor Tanner , Nark Nyul Choi

We investigate the classical and quantum dynamics of an electron confined to a circular quantum dot in the presence of homogeneous $B_{dc}+B_{ac}$ magnetic fields. The classical motion shows a transition to chaotic behavior depending on the…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 R. Badrinarayanan , Jorge V. José
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