Polarized neutron study of the spin dynamics for a Heisenberg antiferromagnet with easy-axis anisotropy, CsNiCl3, clearly demonstrates the almost isotropic character of the system. The study also revealed a difference between the observed and the calculated spin wave dispersion using the classical spin wave theory for T << 4.8 K and T > 4.8 K. This may be interpreted as a quantum effect on the ...

We apply methods of quantum mechanics for mathematical modeling of price dynamics at financial market. We propose to describe behavioral financial factors (e.g., expectations of traders) by using the pilot wave (Bohmian) model of quantum mechanics. Our Bohmian model is a quantum-like model for the financial market, cf. with works of W. Segal, I. E. Segal, E. Haven. Our model expresses complexit...

A numerical simulation of the collapse of a cloud of bubbles has been used t o demonstrate the development of an inwardly propagating shock wave which grows rapidly in magnitude. The fully non-linear nonbarotropic homogeneous flow equations are coupled with single bubble dynamics aud solved by a stable numerical scheme. The computational results demonstrate khe structure of the shock wave as we...

We extend our ab initio molecular dynamics methods to more exact wave functions, including complete active space multiconfiguration self-consistent-field (CASSCF) and full configuration interaction (full CI) wave functions. These extensions are critical for describing properly the dynamics of bond formation/ dissociation and isomerization, as we illustrate here by examining the bond dissociatio...

Motivated by recent ultrafast pump-probe experiments on high-temperature superconductors, we discuss the transient dynamics of a d-wave BCS model after a quantum quench of the interaction parameter. We find that the existence of gap nodes, with the associated nodal quasiparticles, introduces a decay channel which makes the dynamics much faster than in the conventional s-wave model. For every va...

this paper deals with aerodynamic design of fan and compressor assembly for turbofan engines having arbitrary by-pass ratios. two different softwares were developed in this respect. first, based on general performance data at design point condition, a one-dimensional approach was activated. initial flow passages of both fan and compressor, together with splitter position were developed utilizin...

In this report, generalized wave breaking equations are developed using three dimensional fully nonlinear extended Boussinesq equations to encompass rotational dynamics in wave breaking zone. The derivation for vorticity distributions are developed from Reynold based stress equations.

We consider the wave and ray dynamics of an electromagnetic field in a parabolic dome microcavity. The structure of the fundamental s wave involves a main lobe in which the electromagnetic field is confined around the focal point in an effective volume of the order of a cubic wavelength, while modes with finite angular momentum have a structure that avoids the focal area and have correspondingl...

We introduce the "tensor-train split-operator Fourier transform" (TT-SOFT) method for simulations of multidimensional nonadiabatic quantum dynamics. TT-SOFT is essentially the grid-based SOFT method implemented in dynamically adaptive tensor-train representations. In the same spirit of all matrix product states, the tensor-train format enables the representation, propagation, and computation of...

Abstract We study the non-equlibrium dynamics of an electronic model of competition between an unconventional charge density wave (a bond density wave) and d-wave superconductivity. In a time-dependent HartreeFock+BCS approximation, the dynamics reduces to the equations of motion of operators realizing the generators of SU(4) at each pair of momenta, (k, k), in the Brillouin zone. We also study...