On quantum jumps and attractors of the Maxwell-Schrödinger equations
DOI10.1007/s40316-021-00179-1zbMath1498.35456arXiv1907.04297OpenAlexW3209929841MaRDI QIDQ2118375
Publication date: 22 March 2022
Published in: Annales Mathématiques du Québec (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1907.04297
Lie algebraLie groupattractorsolitonHamiltonian equationnonlinear partial differential equationquantum jumpstationary statewave-particle dualityprobabilistic interpretationMaxwell-Schrödinger systemcontinuous symmetry groupelectron diffractionstationary orbit
Attractors (35B41) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) PDEs in connection with optics and electromagnetic theory (35Q60) Second-order nonlinear hyperbolic equations (35L70) Diffraction, scattering (78A45) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10) Perturbations in context of PDEs (35B20) Nonlinear evolution equations (47J35) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03) Soliton solutions (35C08) Time-dependent Schrödinger equations and Dirac equations (35Q41) General theory of infinite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, conservation laws (37K06)
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