Results 91 to 100 of about 1,721 (102)

Remarks on global solutions to the cauchy problem for semirelativistic equations with power type nonlinearity

, 2015
Existence and nonexistence results on global solutions to the Cauchy problem for semirelativistic equations are shown by a simple compactness argument and a test function method, respectively.
K. Fujiwara, T. Ozawa
semanticscholar   +1 more source

A Class of Periodic Solutions of One-Dimensional Landau-Lifshitz Equations

, 2017
We study one-dimensional Landau-Lifshitz Equations and give the sufficient and necessary conditions for the existence of a class of periodic solutions.
Xi Chen, R. Jiang, Youde Wang
semanticscholar   +1 more source

Conservation laws and multiple simplest equation methods to an extended quantum Zakharov-Kuznetsov equation

, 2016
The extended quantum Zakharov-Kuznetsov (QZK) equation, which arises in the study of astrophysics is investigated. Exact traveling wave solutions are obtained by using distinct types of the simplest equation method namely, the simplest equation method ...
S. El‐Ganaini, M. A. Akbar
semanticscholar   +1 more source

Many-Body Quantum Systems and Effective Theories

, 2016
In the last years, substantial progress has been made in many areas of mathematical physics. The goal of this workshop was to bring together researchers working on analytic and probabilistic aspects of many-body quantum systems and quantum statistical ...
C. Hainzl, B. Schlein, R. Seiringer
semanticscholar   +1 more source

The Axiom of Choice in Quantum Theory

Mathematical Logic Quarterly, 1996
We construct peculiar Hilbert spaces from counterexamples to the axiom of choice. We identify the intrinsically effective Hamiltonians with those observables of quantum theory which may coexist with such spaces.
M. Baaz, N. Brunner, K. Svozil
semanticscholar   +1 more source

The equivalent form and the evolution of generalized Schrodinger map heat flow

, 2015
We present a study of the singular and smooth solutions of the generalized Schrödinger map heat flow equation (GSMF) on hyperbolic space. Considering the associated hyperbolic Landau-Lifshitz spin evolution equation with uniaxial anisotropy together with
Penghong, Zhong
semanticscholar   +1 more source

On semi-classical limits of ground states of a nonlinear Maxwell-Dirac system

, 2014
We study the semi-classical ground states of the nonlinear MaxwellDirac system:    α · ( i~∇+ q(x)A(x) ) w − aβw − ωw − q(x)φ(x)w = P (x)g(|w|)w −∆φ = q(x) |w| −∆Ak = q(x)(αkw) · w̄ k = 1, 2, 3 for x ∈ R, where A is the magnetic field, φ is the ...
Yanheng Ding, Xueting Tian
semanticscholar   +1 more source

Mathematical and Numerical Aspects of Quantum Chemistry Problems

, 2006
This workshop was aimed at strengthtening the interactions between well established experts in quantum chemistry, mathematical analysis, numerical analysis and computational metodology.
M. Esteban, C. Bris, G. Scuseria
semanticscholar   +1 more source

Linear Scaling Discontinuous Galerkin Density Matrix Minimization Method with Local Orbital Enriched Finite Element Basis: 1-D Lattice Model System

, 2013
In the first of a series of papers, wewill study a discontinuous Galerkin (DG) framework for many electron quantum systems. The salient feature of this framework is the flexibility of using hybrid physics-based local orbitals and accuracy-guaranteed ...
Tiao Lu, W. Cai, J. Xin, Y. Guo
semanticscholar   +1 more source

Pauli Exclusion Principle and Nonlinear Dirac Equation

Journal of Geometry and Symmetry in Physics
The nonlinear Dirac equation is a magical equation that hides many mysteries of nature, so it is worth systematic study. In this paper, we give a detailed analysis for the effects of various covariant potential terms on the energy eigenstates and the ...
Ying-Qiu Gu
semanticscholar   +1 more source