TL;DR: In this article, a new extension of a fractality concept in quantum physics has been developed and path integrals over the Levy paths are defined and fractional quantum and statistical mechanics have been developed via new fractional path integral approach.

TL;DR: In this paper, the authors analyzed and compared the mathematical formulations of the criterion for separability for bipartite density matrices and the Bell inequalities and showed that a violation of a Bell inequality can formally be expressed as a witness for entanglement.

TL;DR: In this paper, a chaotic electrical circuit using only resistors, capacitors, diodes, and inverting operational amplifiers is proposed, which is a new class of chaotic electrical circuits.

TL;DR: In this article, the dynamical behavior of these giant waves is addressed as solutions of the nonlinear Schrodinger equation in both 1+1 and 2+1 dimensions, and analytical results for 1 + 1 dimensions are discussed and numerically demonstrated for certain sets of initial conditions.

TL;DR: It is shown that the introduction of entangled strategies leads to a unique solution of the Battle of the Sexes game.

TL;DR: In this article, the authors presented some new experimental results and the quantitative model describing large magneto-strain effect and main mechanical and magnetic properties observed in several ferromagnetic shape-memory alloys.

TL;DR: In this paper, the exact solvability of the Schroedinger equation was discussed, and it was shown that operators with linear dependence on the momentum are non-ambiguous.

TL;DR: In this article, a pure state of four qubits whose single-qubit density matrices are all maximally mixed and whose average entanglement as a system of two pairs of qubits appears to be maximal is described.

TL;DR: In this article, it was shown that the solitary wave of a model for nonlinear dispersive waves in cylindrical compressible hyperelastic rods is orbitally stable, and that the shape of the wave is stable.

TL;DR: In this paper, the evolution of a quantum system undergoing very frequent measurements takes place in a proper subspace of the total Hilbert space (quantum Zeno effect), and dynamical properties of this evolution are investigated and several examples are considered.

TL;DR: In this article, the Hilbert-Schmidt distance does not have the property that the distance is nonincreasing under every completely positive trace-preserving map, contrary to a recent claim.

TL;DR: In this paper, Braginsky and Vyatchanin showed that thermal expansion coefficient in mirrors of gravitational wave antennae can be transformed into additional noise not only through thermal expansion coefficients but also through temperature dependence of refraction index.

TL;DR: In this article, the global exponential stability and the periodic oscillation of a class of delayed cellular neural networks (DCNNs) are investigated and sufficient conditions are given to design globally exponentially stable DCNNs and periodic oscillatory DNNs.

TL;DR: In this article, nonequilibrium properties of a one-dimensional lattice Hamiltonian with quartic interactions in strong thermal gradients were studied and a quantitative description of T(x) including boundary jumps were developed.

TL;DR: In this paper, the authors analyzed further problems of global exponential stability and the existence of periodic solutions of cellular neural networks with delays (DCNNs) by applying some new analysis techniques and constructing suitable Lyapunov functionals.

TL;DR: In this paper, it was shown that the corresponding Hamiltonians possess a higher order shape invariance which is equivalent to the ladder equation, and the irreducible second order Darboux transformations which together with the first order act as building blocks.

TL;DR: In this paper, it was shown that for the edge-of-chaos case, the usual Boltzmann-Gibbs-Shannon entropy is not appropriate and instead, the non-extensive entropy S q ≡ (1− ∑ i=1 W p i q ) (q−1), which is a special parameter q, the entropic index which must be given a special value q ∗ ≠ 1 (for q = 1 one recovers the usual entropy) characteristic of the edge of chaos under consideration.

TL;DR: In this article, the higher order supersymmetric partners of the Schrodinger's Hamiltonians can be explicitly constructed by iterating a simple finite difference equation corresponding to the Backlund transformation.

TL;DR: In this article, the Hamiltonian hierarchy problem of the Hulthen potential within the frame of the supersymmetric quantum mechanics was dealt with and it was shown that the associated SUPSY partner potentials simulate the effect of the centrifugal barrier.

TL;DR: In this paper, the Variational Method is applied within the context of Supersymmetric Quantum Mechanics to provide information about the energy and eigenfunction of the lowest levels of a Hamiltonian.

TL;DR: In this article, a new class of real, non-singular and rationally decaying potentials and eigenfunctions of the non-stationary Schrodinger equation and solutions of the KP I equation are constructed via binary Darboux transformations.

TL;DR: In this article, a general matrix approach to study entangled states is presented, based on operator completeness relations, with focus on irreducible representations of groups, and robustness of teleportation to various kinds of non idealities is shown.

TL;DR: In this paper, it was shown that the very possibility of performing measurements on a micro system combined with the assumed general validity of the linear nature of quantum evolution leads to a fundamental contradiction.

TL;DR: In this paper, the eigenvalues of a wide class of non-central potentials can be obtained algebraically in a simple and elegant manner using supersymmetry and shape invariance.

TL;DR: In this article, the results of EPR experiments performed in Geneva are analyzed in the frame of the cosmic microwave background radiation, generally considered as a good candidate for playing the role of preferred frame.

TL;DR: In this article, the multi-scaling properties of one-dimensional truncated Levy flights are studied and the functional form of the scaling exponents of the exponents is derived.

TL;DR: This work investigated whether non-local correlations can be further quantified in terms of finite information, and found that the EPR–Bell cosine correlation is reproduced exactly using on average 1.48 bits.

TL;DR: In this paper, a simple data analysis strategy based on the scoring of recurrences, allowed to distinguish relatively short runs of (i) a chaotic system (logistic map), (ii) transcendental numbers ( π ), (iii) pseudo-random numbers, and (iv) physical random numbers (atmospheric noise).

TL;DR: In this article, the authors studied the first passage time (FPT) problem in the Levy type of anomalous diffusion and obtained an analytic expression for the FPT distribution which, in the large passage time limit, is characterized by a universal power law.