Results 31 to 40 of about 1,721 (102)
Spectral Shift Function for the Perturbations of Schrödinger Operators at High Energy [PDF]
, 2008 2000 Mathematics Subject Classification: 35P20, 35J10, 35Q40.We give a complete pointwise asymptotic expansion for the Spectral Shift Function for Schrödinger operators that are perturbations of the Laplacian on Rn with slowly decaying ...
Assel, Rachid, Dimassi, Mouez
core
THE EVOLUTION OF AN ANISOTROPIC HYPERBOLIC SCHRODINGER MAP HEAT FLOW
, 2015 Solution of Schrödinger map heat flow equation with applied field in 2-dimensional H2 space is obtained. Two different methods are used to construct the norm −1 exact solution. The solution admit a finite time singularity or a global smooth property. AMS
P. Zhong
semanticscholar +1 more source
Blending Brownian motion and heat equation
, 2015 In this short communication we present an original way to couple the Brownian motion and the heat equation. More in general, we suggest a way for coupling the Langevin equation for a particle, which describes a single realization of its trajectory, with ...
Cristiani, Emiliano
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Radial symmetric elements and the Bargmann transform
, 2014 We prove that a function or distribution on $\rr d$ is radial symmetric, if and only if its Bargmann transform is a composition by an entire function on $\mathbf C$ and the canonical quadratic function from $\cc d$ to $\mathbf C$.Comment: 11 ...
Cappiello, Marco +2 more
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The exact solutions for the (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation
Results in Physics, 2021 In the paper, we study the Boiti-Leon-Manna-Pempinelli equation with (3 + 1) dimension. By using the modified hyperbolic tangent function method, we obtain more new exact solutions for the (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation, which ...
Xiaofang Duan, Junliang Lu
doaj
Centre-of-mass motion in multi-particle Schrödinger–Newton dynamics
New Journal of Physics, 2014 We investigate the implication of the nonlinear and non-local multi-particle Schrödinger–Newton equation for the motion of the mass centre of an extended multi-particle object, giving self-contained and comprehensible derivations.
Domenico Giulini, André Großardt
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, 2006 It is shown that the ground state energy of heavy atoms is, to leading order, given by the non-relativistic Thomas-Fermi energy. The proof is based on the relativistic Hamiltonian of Brown and Ravenhall which is derived from quantum electrodynamics ...
Brown G E +12 more
core +2 more sources
Numerical Mathematics: Theory, Methods and Applications, 2019 A numerical method is proposed to approach the Approximate Inertial Manifolds (AIMs) in unsteady incompressible Navier-Stokes equations, using multilevel finite element method with hierarchical basis functions.
M. Aslam
semanticscholar +1 more source
"Thermodynamique cach\'ee des particules" and the quantum potential [PDF]
, 2012 According to de Broglie, temperature plays a basic role in quantum Hamilton-Jacobi theory. Here we show that a possible dependence on the temperature of the integration constants of the relativistic quantum Hamilton-Jacobi may lead to corrections to the ...
Matone, Marco
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Stability of spectral eigenspaces in nonlinear Schrodinger equations
, 2006 We consider the time-dependent non linear Schrodinger equations with a double well potential in dimensions d =1 and d=2. We prove, in the semiclassical limit, that the finite dimensional eigenspace associated to the lowest two eigenvalues of the linear ...
Bambusi, Dario, Sacchetti, Andrea
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