The e ective-ÿeld theory (EFT) of a two-spin cluster is applied to study the critical behavior of a three-dimensional classical and quantum Heisenberg antiferromagnet (AF). NÃ eel temperature (T N ) and sublattice magnetization are... more
The phase diagram of the quantum spin-1 2 anisotropic Heisenberg antiferromagnet is studied, within a mean-ÿeld renormalization-group approach in larger clusters. The model consists of an anisotropic cubic lattice, with in-plane J and... more
The criticality of the quantum anisotropic spin-1 2 Heisenberg antiferromagnetic model is studied by the mean-ÿeld renormalization group (MFRG) approach. The critical temperature and the thermal exponent for the ferromagnetic (F) and... more
We introduce a new strategy in solving the truncated complex moment problem. To this aim we investigate recursive doubly indexed sequences and their characteristic polynomials. A characterization of recursive doubly indexed moment... more
We propose a non-deterministic CNOT gate based on a quantum cloner, a quantum switch based on all optical routing of single photon by single photon, a quantum-dot spin in a double-sided optical microcavity with two photonic qubits, delay... more
It was proved that balance equations for systems with corpuscular structure can be derived if a kinematic description by piece-wise analytic functions is available . This article presents a rigorous derivation of an one-dimensional... more
We have performed an isospin analysis of single-pion production processes in antiprotonnucleon scattering from threshold to 2.90 GeV/c. Reactions used are pp-+Bprr", iippn-and Bn-$ppn-. Results show that u 1, the total 2 = 1 cross... more
• The temporal series of the volatility and the return for the model is analyzed. • The distribution of the returns is verified and the power of the long tail distribution gotten. • The Hurst index is calculated using the rescaled range... more
This paper reimagines thought as an evental intensity immanent to the cosmos, unbound by human agency or Platonic forms. Drawing on the philosophies of Gilles Deleuze, Alfred North Whitehead, and Gilbert Simondon, I propose that thinking... more
For the generic orbit of the coadjoint action of the lower triangular group on its dual Lie algebra, we exhibit a complete set of integrals in involution for the associated Toda flow.
Evaluation of link prediction methods is a hard task in very large complex networks because of the inhibitive computational cost. By setting a lower bound of the number of common neighbors (CN), we propose a new framework to efficiently... more
Structural controllability, which is an interesting property of complex networks, attracts many researchers from various fields. The maximum matching algorithm was recently applied to explore the minimum number of driver nodes, where... more
Eigenspectra of a spinless quantum particle trapped inside a rigid, rectangular, twodimensional (2D) box subject to diverse inner potential distributions are investigated under hermitian, as well as non-hermitian antiunitary PT (composite... more
We investigate conserved quantities of periodic box-ball systems (PBBS) with arbitrary kinds of balls and box capacity greater than or equal to 1. We introduce the notion of nonintersecting paths on the two dimensional array of boxes, and... more
We calculate the Witten index of a class of (non-Fredholm) Dirac-Schrödinger operators over R d+1 for d ≥ 3 odd, and thus generalize known results for the case d = 1. For a concrete example of the potential, we give a more explicit index... more
We develop a principal trace and generalized index formula for a Dirac-Schrödinger operator D on open space of odd dimension d ≥ 3 with a potential given by a family of self-adjoint unbounded operators acting on a infinite dimensional... more
It is shown that any two Hamiltonians H(t) and H'(t) of N dimensional quantum systems can be related by means of time-dependent canonical transformations (CT). The dynamical symmetry group of system with Hamiltonian H(t) coincides... more
A sufficient condition for a state |\psi> to minimize the Robertson-Schr\"{o}dinger uncertainty relation for two observables A and B is obtained which for A with no discrete spectrum is also a necessary one. Such states, called... more
Three basic properties (eigenstate, orbit and intelligence) of the canonical squeezed states (SS) are extended to the case of arbitrary n observables. The SS for n observables X i can be constructed as eigenstates of their linear complex... more
Diagonalization of uncertainty matrix and minimization of Robertson inequality for n observables are considered. It is proved that for even n this relation is minimized in states which are eigenstates of n/2 independent complex linear... more
A scheme for construction of uncertainty relations (UR) for n observables and m states is presented. Several lowest order UR are displayed and briefly discussed. For two states |ψ and |φ and canonical observables the (entangled) extension... more
A large body of astrophysical observations indicate that around 85 percent of the matter in the universe is not made of recognized standard model particles. Understanding the nature of this so-called dark matter is of fundamental... more
The scaling of fluctuations in the distribution of ground-state energies or costs with the system size N for Ising spin glasses is considered using an extensive set of simulations with the Extremal Optimization heuristic across a range of... more
The thermal-to-percolative crossover exponent φ, well-known for ferromagnetic systems, is studied extensively for Edwards-Anderson spin glasses. The scaling of defect energies are determined at the bond percolation threshold pc, using an... more
The scaling of fluctuations in the distribution of ground-state energies or costs with the system size N for Ising spin glasses is considered using an extensive set of simulations with the Extremal Optimization heuristic across a range of... more
We apply to nucleon decay the knowledge about the short-distance structure of baryon wave functions gleaned from QCD form factor calculations and the J/$ --) pp decay rate. We review the uncertainties arising when current algebra and PCAC... more
Mass mixing and CP violation in the B°-B ° system are studied in the standard six-quark model. The mass and width differences are obtained by reliable methods, and their radiative corrections included to leading logarithm. Constraints on... more
Among the list of one-dimensional solvable Hamiltonians, we find the Hamiltonian with the Rosen–Morse II potential. The first objective is to analyse the scattering matrix corresponding to this potential. We show that it includes a series... more
As an extension of the intertwining operator idea a constructive method for establishment of families of three-dimensional (super)integrable and isospectral potentials having higherorder dynamical symmetries is developed.
The simplest position-dependent mass Hamiltonian in one dimension, where the mass has the form of a step function with a jump discontinuity at one point, is considered. The most general matching conditions at the jumping point for the... more
We prove a new result allowing to construct Anosov flows in dimension 3 by gluing building blocks. By a building block, we mean a compact 3-manifold with boundary P , equipped with a C 1 vector field X, such that the maximal invariant set... more
The products of the textile industry are very important in our lives, but the textile industry comes to the fore with its impact on the environment, excessive water consumption and waste production. In this study; Existing techniques... more
Fix integers g ≥ 3 and r ≥ 2, with r ≥ 3 if g = 3. Given a compact connected Riemann surface X of genus g, let M DH (X) denote the corresponding SL(r, C) Deligne-Hitchin moduli space. We prove that the complex analytic space M DH (X)... more
Field theories naturally give rise to multiple jets of hadrons in short-distance processes, such as e+e -annihilation. In particular, a low-energy jet of hadrons distributed in some cone of opening angle 6 would be naively expected to... more
Using Feynman kernels, a representation of the Artin braid group is explicitly constructed. The Schr6dinger equations associated to the kernels turn out to be intimately related to the Knizhnik-Zamolodchikov equations. The representation... more
The path integral approach to representing braid group is generalized for particles with spin. Introducing the notion of charged winding number in the super-plane, we represent the braid group generators as homotopically constrained... more
In the context of fluid mixing in microelectromechanical systems, Lagrangian mass transport induced by peristaltic waves traveling on the boundaries of a two-dimensional rectangular closed channel is studied analytically. Based on the... more
We investigate several variants of a network creation model: a group of agents builds up a network between them while trying to keep the costs of this network small. The cost function consists of two addends, namely (i) a constant amount... more
We consider sign changing solutions of the equationm (u) = |u| p-1 u in possibly unbounded domains or in R N . We prove Liouville type theorems for stable solutions or for solutions which are stable outside a compact set. The results hold... more
In this paper we consider positive C1 solutions of the equation - div(|Du|p-2Du)= f(u) in ℝN, vanishing at infinity, in the case 1 < p ≤ 2, f locally Lipschitz continuous in (0, ∞). We prove that the solutions are radially symmetric... more
In the present paper we have study totally umbilical pseudo-slant submanifolds of Riemannian product manifolds via Riemannian curvature tensor and finally obtained a classification for the Totally umbilical pseudo-slant submanifolds of... more
We consider sign changing solutions of the equationm (u) = |u| p-1 u in possibly unbounded domains or in R N . We prove Liouville type theorems for stable solutions or for solutions which are stable outside a compact set. The results hold... more
In der vorliegenden Arbeit wird das Problem des Kontaktes zwischen einer Platte und einem elastischen Korper betrachtet, wobei die Platte am elastischen Korper bleibt. Das Problem wurde in [ I ] untersucht. wobei die Autoren die... more
To further explore the specific application of nonlinear system in the construction of landscape architecture and promote the parametric development of landscape design, in this exploration, based on the digital elevation model (DEM) and... more