Results 51 to 60 of about 856 (85)
Demonstratio MathematicaIn this paper, we consider the following singularly perturbed Chern-Simons-Schrödinger systems(P) −ε2Δu+e2|A|2+V(x)+2eA0+21+κq2Nu+q|u|p−2u=0, −ε2ΔN+κ2q2N+q1+κq2u2=0, εκ∂1A2−∂2A1=−eu2,∂1A1+∂2A2=0, εκ∂1A0=e2A2u2,εκ∂2A0=−e2A1u2, $$\begin{cases}\quad \hfill &
Deng Jin
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Existence of global-in-time solutions to a generalized Dirac-Fock type evolution equation
, 2005 We consider a generalized Dirac-Fock type evolution equation deduced from no-photon Quantum Electrodynamics, which describes the self-consistent time-evolution of relativistic electrons, the observable ones as well as those filling up the Dirac sea. This
A. Uehling E. +29 more
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Minimization of energy per particle among Bravais lattices in R^2 : Lennard-Jones and Thomas-Fermi cases [PDF]
, 2014 We study the two dimensional Lennard-Jones energy per particle of lattices and we prove that the minimizer among Bravais lattices with sufficiently large density is triangular and that is not the case for sufficiently small density. We give other results
Bétermin, Laurent, Zhang, Peng
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Inverse Scattering at a Fixed Energy for Long-Range Potentials
, 2006 In this paper we consider the inverse scattering problem at a fixed energy for the Schr\"odinger equation with a long-range potential in $\ere^d, d\geq 3$.
Weder, Ricardo, Yafaev, Dimitri
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Dispersive estimates and NLS on product manifolds
, 2010 We prove a general dispersive estimate for a Schroedinger type equation on a product manifold, under the assumption that the equation restricted to each factor satisfies suitable dispersive estimates.
Pierfelice, Vittoria
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.
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Low regularity well-posedness for the one-dimensional Dirac - Klein - Gordon system
, 2006 Local well-posedness for the Dirac - Klein - Gordon equations is proven in one space dimension, where the Dirac part belongs to H^{-{1/4}+\epsilon} and the Klein - Gordon part to H^{{1/4}-\epsilon} for 0 < \epsilon < 1/4, and global well-posedness, if ...
Pecher, Hartmut
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Self-Adjoint Dirac Operators on Domains in R 3. [PDF]
Ann Henri Poincare, 2020 Behrndt J, Holzmann M, Mas A.
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Infinite-body optimal transport with Coulomb cost. [PDF]
Calc Var Partial Differ Equ, 2015 Cotar C, Friesecke G, Pass B.
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