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An Adaptive Finite Element Method for the H-Ψ Formulation of Time-Dependent Eddy Current Problems
Maxwell’s equations eddy current problem adaptive finite element method multiply
2012/8/7
In this paper, we develop an adaptive finite element method based on reliable
and efficient a posteriori error estimates for the H − formulation of eddy current problems with
multiply connec...
A Family of Exact, Analytic Time Dependent Wave Packet Solutions to a Nonlinear Schroedinger Equation
A Family of Exact Analytic Time Dependent Packet Solutions Nonlinear Schroedinger Equation Mathematical Physics
2012/6/19
We obtain time dependent $q$-Gaussian wave-packet solutions to a non linear Schr\"odinger equation recently advanced by Nobre, Rego-Montero and Tsallis (NRT) [Phys. Rev. Lett. 106 (2011) 10601]. The N...
A time-splitting spectral scheme for the Maxwell-Dirac system
Maxwell-Dirac system time-splitting spectral method semi-classical asymptotics WKB-expansion
2012/5/24
We present a time-splitting spectral scheme for the Maxwell-Dirac system and similar time-splitting methods for the corresponding asymptotic problems in the semi-classical and the non-relativistic reg...
On the divergence of time-dependent perturbation theory applied to laser-induced molecular transitions: Analytical calculations (1)
time-dependent perturbation theory laser-induced molecular transitions Analytical calculations Mathematical Physics
2012/4/18
Shaped laser pulses are a powerful tool to induce population transfer between electronic molecular states, and time-dependent perturbation theory is suitable for a description of such a transfer in we...
Embeddings and time evolution of the Schwarzschild wormhole
Einstein-Rosen bridge Schwarzschild wormhole embedding
2011/10/9
Abstract: We show how to embed spacelike slices of the Schwarzschild wormhole (or Einstein-Rosen bridge) in R^3. Graphical images of embeddings are given, including depictions of the dynamics of this ...
Framework for discrete-time quantum walks and a symmetric walk on a binary tree
discrete-time quantum walks symmetric walk Framework Quantum Physics
2011/10/9
Abstract: We formulate a framework for discrete-time quantum walks, motivated by classical random walks with memory. We present a specific representation of the classical walk with memory 2 on which t...
Adiabatic Theorem for Discrete Time Evolution
adiabatic theorem quantum map quantum circuit Quantum Physics
2011/10/8
Abstract: A proof of the adiabatic theorem for quantum systems whose time evolution proceeds along discrete time, e.g., quantum maps and quantum circuits, is shown.
Numerical evidence against a conjecture on the cover time of planar graphs
Numerical evidence the cover times of planar graphs Statistical Mechanics
2011/7/28
Abstract: We investigate a conjecture on the cover times of planar graphs by means of large Monte Carlo simulations. The conjecture states that the cover time $\tau(G_{N})$ of a planar graph $G_{N}$ o...
Applications of local fractional calculus to engineering in fractal time-space: Local fractional differential equations with local fractional derivative
local fractional calculus fractal time-space local fractional derivative local fractional differential equation
2011/7/26
Abstract: This paper presents a better approach to model an engineering problem in fractal-time space based on local fractional calculus. Some examples are given to elucidate to establish governing eq...
Similarity solutions of Fokker-Planck equation with time-dependent coefficients
Fokker-Planck equation time-dependent drift and diffusion similarity method
2011/7/26
Abstract: In this work, we consider the solvability of the Fokker-Planck equation with both time-dependent drift and diffusion coefficients by means of the similarity method. By the introduction of th...
Time-Reversal Symmetry in Non-Hermitian Systems
Time-Reversal Symmetry Non-Hermitian Systems Statistical Mechanics
2011/7/27
Time-Reversal Symmetry in Non-Hermitian Systems.
On a proof of the collapse conjecture for a diagonal Bianchi type-IX vacuum space-time
collapse conjecture diagonal Bianchi type-IX vacuum space-time General Relativity and Quantum Cosmology
2011/7/27
Abstract: It is given a simple proof of the collapse conjecture for a diagonal Bianchi type-IX vacuum space-time. It is shown that the codimension of the infinity stable attractor, restricted to the a...
Fuzzy Geometry via the Spinor Bundle, with Applications to Holographic Space-time and Matrix Theory
Fuzzy Geometry the Spinor Bundle Holographic Space-time Matrix Theory
2011/7/27
Abstract: We present a new framework for defining fuzzy approximations to geometry in terms of a cutoff on the spectrum of the Dirac operator, and a generalization of it that we call the Dirac-Flux op...
Time-Dependent Density Functional Theory for Driven Lattice Gas Systems with Interactions Driven Lattice Gas Systems with Interactions
Time-Dependent Density Functional Theory Driven Lattice Gas Systems
2010/11/23
We present a new method to describe the kinetics of driven lattice gases with particle-particle
interactions beyond hard-core exclusions. The method is based on the time-dependent density
functional...
Time-convolutionless master equation for quantum dots: Perturbative expansion to arbitrary order
Time-convolutionless master equation quantum dots Perturbative expansion arbitrary order
2010/11/19
The master equation describing the non-equilibrium dynamics of a quantum dot coupled to metallic leads is considered. Employing a superoperator approach, we derive an exact time-convolutionless master...