A Remark on Unconditional Uniqueness in the Chern-Simons-Higgs Model [PDF]
, 2013 The solution of the Chern-Simons-Higgs model in Lorenz gauge with data for the potential in $H^{s-1/2}$ and for the Higgs field in $H^s \times H^{s-1}$ is shown to be unique in the natural space $C([0,T];H^{s-1/2} \times H^s \times H^{s-1})$ for $s \ge 1$
Daniel +2 more
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Multiple Aharonov--Bohm eigenvalues: the case of the first eigenvalue on the disk
, 2018 It is known that the first eigenvalue for Aharonov--Bohm operators with half-integer circulation in the unit disk is double if the potential's pole is located at the origin. We prove that in fact it is simple as the pole $a\neq 0$
Abatangelo, Laura
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Classical-quantum correspondence for shape-invariant systems
, 2015 A quantization procedure, which has recently been introduced for the analysis of Painlev\'e equations, is applied to a general time-independent potential of a Newton equation.
Grundland, A. M., Riglioni, D.
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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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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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