Results 31 to 40 of about 65 (65)

On multiplicity of solutions to nonlinear Dirac equation with local super-quadratic growth

Advances in Nonlinear Analysis
In this article, we study the following nonlinear Dirac equation: −iα⋅∇u+aβu+V(x)u=g(x,∣u∣)u,x∈R3.-i\alpha \hspace{0.33em}\cdot \hspace{0.33em}\nabla u+a\beta u+V\left(x)u=g\left(x,| u| )u,\hspace{1em}x\in {{\mathbb{R}}}^{3}.
Liao Fangfang, Chen Tiantian
doaj   +1 more source

On the time-dependent Born–Oppenheimer approximation

European Journal of Applied Mathematics
In this paper, we consider the time-dependent Born–Oppenheimer approximation (BOA) of a classical quantum molecule involving a possibly large number of nuclei and electrons, described by a Schrödinger equation.
Sebastian Gherghe, Ivan Moyano, Israel Michael Sigal   +2 more
doaj   +1 more source

MR2736188 (Review) 82D10 (35Q40 82D37) Chen, Li; Chen, Xiuqing; Zhang, Chunlei Vanishing electron mass limit in the bipolar Euler-Poisson system. Nonlinear Anal. Real World Appl. 12 (2011), no. 2, 1002–1012

, 2011
Review for Mathematical ...
RICCI, Valeria
core  

Spectral Transition for Dirac Operators with Electrostatic δ -Shell Potentials Supported on the Straight Line. [PDF]

Integr Equ Oper Theory, 2022
Behrndt J, Holzmann M, Tušek M.
europepmc   +1 more source

Dirac operator spectrum in tubes and layers with a zigzag-type boundary. [PDF]

Lett Math Phys, 2022
Exner P, Holzmann M.
europepmc   +1 more source

Self-Adjoint Dirac Operators on Domains in R 3. [PDF]

Ann Henri Poincare, 2020
Behrndt J, Holzmann M, Mas A.
europepmc   +1 more source

Infinite-body optimal transport with Coulomb cost. [PDF]

Calc Var Partial Differ Equ, 2015
Cotar C, Friesecke G, Pass B.
europepmc   +1 more source

Connections between real polynomial solutions of hypergeometric-type differential equations with Rodrigues formula

Open Mathematics, 2007
Weber Hans
doaj   +1 more source

On phase segregation in nonlocal two-particle Hartree systems

Open Mathematics, 2009
Aschbacher Walter, Squassina Marco
doaj   +1 more source

Approximation of Dirac Operators with Confining Electrostatic and Lorentz Scalar δ -Shell Potentials. [PDF]

Complex Anal Oper Theory
Stelzer-Landauer C.
europepmc   +1 more source