Showing papers in "Physics Letters A in 1997"

TL;DR: In this paper, it was shown that any separable state on the Hilbert space 7-1= XI 8 l-t2 can be written as a convex combination of N pure product states with N < (dim’H)

TL;DR: A spin state reconstruction procedure similar to the symplectic tomography is considered in this paper, where a quantum evolution equation for the classical-like positive distribution function is found, and generalization to arbitrary values of angular momentum is discussed.

TL;DR: In this paper, an explicit travelling solitary wave solution to a compound KdV-Burgers equation is obtained by using an automated method. And a two-dimensional generalization is discussed.

TL;DR: In this article, two theorems on limitations in controlling chaos by delayed feedback control are proved, and the results are as follows: (1) if the linear variational equation about the target hyperbolic unstable periodic orbit (UPO) has an odd number of real characteristic multipliers which is greater than unity, the UPO can never be stabilized with any value of the feedback gain.

TL;DR: In this article, a new generalized entropy which has q ↔ q −1 invariance was proposed, and the connection between the generalized entropy and theory of quantum groups was shown.

TL;DR: In this paper, the algebraically simplest example of a dissipative chaotic flow, x + A x − x 2 + x = 0, was found for third-order, autonomous ODEs with one dependent variable.

TL;DR: In this article, the authors derived fourth order symplectic integrators by factorizing the exponential of two operators in terms of an additional higher order composite operator with positive coefficients, and applied these integrators to Kepler's problem.

TL;DR: In this paper, a non-Markovian generalisation of the stochastic Schrodinger equation is presented, which allows one to describe open quantum systems in terms of stochastically state vectors rather than density operators, without Markov approximation.

TL;DR: In this paper, the prototypical, genuinely nonlinear, K(m, n) equation is studied, where m = n + 2 is transformed into a new, purely dispersive equation free of convection.

TL;DR: In this article, a numerical simulation of a kinetic instability near threshold shows how a hole and clump spontaneously appear in the particle distribution function and support a pair of Bernstein, Greene, Kruskal (BGK) nonlinear waves that last much longer than the inverse linear damping rate while they are upshifting and downshifting in frequency.

TL;DR: The notion of a multidimensional quadrilateral lattice is introduced in this article, and it is shown that such a lattice can be characterized by a system of integrable discrete nonlinear equations.

TL;DR: In this article, a very low frequency bandpass amplifier is shown to transmit pulses with negative group delay, and it is shown that the amplifier is causal, as does the amplifier Green's function.

TL;DR: The generalized simulated annealing algorithm is tested and developed and it is believed that the GSA algorithm is a powerful method to find the global minimum in more realistic problems, like the equilibrium structure of big clusters.

TL;DR: In this article, it was shown that during the propagation of a surface polariton through a slender wedge its wavelength infinitely decreases as it approaches the edge of that structure and the strength of the electric field increases anomalously.

TL;DR: In this paper, a generalization of singular spectrum analysis (SSA) is presented which yields both an optimal filter to discriminate against an arbitrary coloured noise and an objective method of quantifying uncertainty in signal reconstruction.

TL;DR: In this paper, the first and second Painleve equations of higher order are introduced and the relations between the Korteweg-de Vries hierarchies and their singular manifold equations are presented.

TL;DR: In this paper, a model for nonisothermal rapid dendritic growth in an undercooled alloy melt is presented, taking into account the finite speed of solute diffusive propagation.

TL;DR: In this paper, an ensemble of large non-Hermitian random matrices of the form H + i A s, where H and A s are Hermitian statistically independent random N × N matrices are considered.

TL;DR: A quantitative method for automatic detection of phase synchronization in noisy experimental bivariate time series is proposed, based on the fact that instantaneous phases of phase-synchronized (sub) systems are mutually dependent in a specific way irrespective of a relation between the original time series.

TL;DR: In this paper, a generalized Ginzburg-Landau (GL) functional near the tricritical point in the (T, H )-phase diagram for the Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) superconducting state, in one, two, and three dimensions, was derived.

TL;DR: In this paper, it was shown that the Legendre transform structure of thermodynamics does not depend upon the functional form of the entropy, and that it is a necessary consequence of Jaynes' maximum entropy principle.

TL;DR: In this paper, the concept of even and odd nonlinear coherent states is introduced, and the statistical properties of such states are investigated with particular attention to their nonclassical effects.

TL;DR: In this article, the authors introduce an analytical model that predicts the dynamics of a simple evolutionary algorithm in terms of the flow in the space of fitness distributions, and identify the epochs with the flow's metastable fixed points.

TL;DR: A new technique for the numerical reconstruction of non-linear delay differential equations from time series by applying the method of optimal transformations, a concept of multiple non- linear regression analysis, which allows for testing time series for delay-induced dynamics.

TL;DR: In this paper, the authors measured the shock wave propagation characteristics in low pressure nonequilibrium argon plasmas by the simultaneous multipoint laser beam deflection technique and found that shock attenuation and dispersion are nonlinearly dependent on the shock amplitude.

TL;DR: In this article, the authors show that the cellular automaton proposed by two of the authors (D.T. and J.M.) is obtained from the discrete Toda lattice equation through a special limiting procedure.

TL;DR: In this article, it was shown that the anisotropy of mass and anomalous spin couplings can lead to the tightest constraint on axial torsion by K ≤ 1.5 × 10 −15 m −1.

TL;DR: In this article, the decay rate of elementary excitations in both uniform and non-uniform gases was investigated by means of perturbation theory and the phonon width in homogeneous gases interacting with repulsive forces.

TL;DR: In this article, it was shown that there is a short-wavelength cutoff for the instability, which is associated with a bifurcation to transversely modulated solitary waves and identified the dominant mode of instability, by finding explicitly all the exponentially unstable modes of the linearized equation for perturbations of the solitary wave.

TL;DR: In this paper, the authors derive the most general of such states and derive the time-dependent expectation values, uncertainties, wave-functions, and probability densities, and comment on the possibility of experimentally observing these states.