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Showing papers in "Physics Letters A in 1988"


Journal ArticleDOI
TL;DR: An infinite sequence of generalized measurements, recently proposed by Ivanovic, can be performed in a single step as mentioned in this paper, and it is shown that the final result is the optimal one, regardless of the number of measurements.

520 citations


Journal ArticleDOI
TL;DR: In this article, it is shown that not | | 2 but rather | | plays the role of determining the measure of distinguishability of |p > and |q > if a classification with certainty is required.

500 citations


Journal ArticleDOI
TL;DR: In this paper, the Hamilton-Jacobi theory is reduced from T*G to g*, where g is the Lie algebra of a Lie group G and G is the Euler equation of rigid body dynamics.

453 citations


Journal ArticleDOI
TL;DR: In this article, it was shown that there are toroidal stellarators whose magnetic field strength is helically symmetric in magnetic coordinates, and that these stellarators, without collisions, strictly confine guiding center orbits.

404 citations


Journal ArticleDOI
TL;DR: Localized (exponentially decaying in all directions) soliton solutions of the evolution equations related to the Zakharov-Shabat spectral problem in the plane are explicitly given in this article.

398 citations


Journal ArticleDOI
TL;DR: In this article, the authors give a measure of particle knowledge in a neutron interferometer that reflects one's ability to predict in which beam a neutron is located, and extend the discussion to partially coherent beams.

384 citations


Journal ArticleDOI
TL;DR: In this paper, the star-triangle relations for a nearest-neighbour two-spin interaction model are given in terms of two rapidities associated with two lines, which cross through each edge.

364 citations


Journal ArticleDOI
TL;DR: In this paper, a lower bound on the number of points required for reliable estimation of the correlation exponent is given in terms of the dimension of the object and the desired accuracy, and a method of estimating the correlation integral computed from a finite sample of a white noise signal is given.

349 citations


Journal ArticleDOI
TL;DR: In this article, a quantum-stochastic differential calculus is derived for representing a continuous quantum measurement of the position operator, and a closed nonlinear quantum Stochastic Differential Equation for the quantum state of the observed particle is given.

337 citations


Journal ArticleDOI
TL;DR: In this paper, an 18-parameter family of integrable reversible mappings of the plane is presented, which are shown to occur in soliton theory and in statistical mechanics.

311 citations


Journal ArticleDOI
TL;DR: In this paper, a new type of attractors for an addressable memory in neural networks operating in continuous time is introduced, called terminal attractors, which represent singular solutions of the dynamical system and intersect the families of regular solutions while each regular solution approaches the terminal attractor in a finite time period.

Journal ArticleDOI
TL;DR: In this article, the authors derive the systematic corrections to estimates of generalized entropies and to generalized dimensions Dq from finite data sets and discuss correlation estimates of Dq for the Henon map.

Journal ArticleDOI
TL;DR: A modified Galerkin (the “Euler-Galerkin”) algorithm for the computational of inertial manifolds is described and applied to reaction diffusion and the Kuramoto-Sivashinsky (KS) equation.

Journal ArticleDOI
TL;DR: In this paper, the non-integrable geometric phase factor is generalized to a non-abelian phase factor which in the adiabatic limit is the Wilczek-Zee generalization of the Berry phase.

Journal ArticleDOI
TL;DR: In this article, the effect of discreteness of the lattice on the classical continuum limit of the isotropic Heisenberg ferromagnetic spin chain, including biquadratic interaction, was discussed.

Journal ArticleDOI
TL;DR: In this paper, the authors investigated the possibility of producing antihydrogen by merging cold trapped plasmas of antiprotons and positrons and calculated the calculated rate for anti-hydrogen production by the three-body recombination p − + e + + + e+ → H+ e +, which is many orders of magnitude higher than any other proposed technique.

Journal ArticleDOI
TL;DR: In this article, it was shown that the geometrical phases associated with cyclic unitary time evolutions in quantum mechanics are replaced by complex Geometrical multipliers in the case of dissipative evolution equations phenomenologically described by nonhermitian hamiltonians.

Journal ArticleDOI
TL;DR: In this paper, the authors present a method to produce a class of exact solutions of the dispersionless KP equation using the conservation equations derived from the semi-classical limit of the KP theory, including rarefaction waves (global solutions) and shock waves (breaking solutions in finite time).

Journal ArticleDOI
TL;DR: The exact and explicit solitary wave solutions for the generalized Fisher equation ∂u ∂t − ∂ 2 u ∂x 2 − ( m u )( ∂ u ∁x ) 2 =u(1−u α ) are obtained via introducing nonlinear transformations as discussed by the authors.

Journal ArticleDOI
TL;DR: In this paper, the authors demonstrate that the process of intentionally switching from one pattern of coordination to another is governed by the dynamics of the patterns themselves, and that the stability of these patterns, as established in earlier experiments on instabilities of these coordination patterns, determines the nature of the transient switching process.

Journal ArticleDOI
TL;DR: In this article, a new hamiltonian integro-differential equation is derived having a Lax representation and an infinite set of conserved quantities, which turns into the KdV equation in a continuous limit.

Journal ArticleDOI
TL;DR: In this article, the sources of neutral fermions in paramagnetic insulators are discussed, which play a major role in high-T c superconductivity in high magnetic insulators.

Journal ArticleDOI
TL;DR: In this article, the formation of classical r-matrices is used to construct families of compatible Poisson brackets for various nonlinear integrable systems connected with loop algebras.

Journal ArticleDOI
TL;DR: A spin-orbital splitting of the 2D spectrum of electrons and also of heavy and light holes in the GaAs quantum well caused by k 3 -terms in the bulk dispersion law is calculated in this paper.

Journal ArticleDOI
TL;DR: In this article, it was shown that solutions rapidly decreasing with x of the Korteweg-de Vries equation with a self-consistent source can be found by the inverse scattering method for the one-dimensional Schrodinger operator on a straight line.

Journal ArticleDOI
TL;DR: In this paper, a spectacular gain in efficiency of DNP by the differential solid effect was demonstrated in a Si:B sample using inversion of the polarization of electron spins, and the best results were obtained using an adiabatic fast passage through the ESR line.

Journal ArticleDOI
TL;DR: In this paper, a simple nonlinear quantum Langevin equation is introduced as phenomenological equation for quantum brownian motion and easy calculations yield a unique localized wave function in the stationary regime.


Journal ArticleDOI
TL;DR: In this article, the dimensions of chaotic transient sets and their stable and unstable manifolds are investigated. But the results are consistent with a conjectured formulae expressing the dimensions in terms of Lyapunov exponents and the transient life-time associated with the strange saddle.

Journal ArticleDOI
TL;DR: In this paper, a sub-set of the transfer matrix eigenvalues is obtained, and the free energy, interfacial tension and correlation length of the hamiltonian is obtained in the usual way.