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8 - Attractors and Quantum Mechanics

Published online by Cambridge University Press:  17 September 2021

Alexander Komech  and
Elena Kopylova
Alexander Komech
Affiliation:
Universität Wien, Austria
Elena Kopylova
Affiliation:
Universität Wien, Austria
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Summary

Here we discuss the possible relation ofour generalconjecture on global attractors ofnonlinear Hamiltonian PDEs todynamicaltreatment of Bohr's postulates and of wave--particle duality, which are fundamental postulates of quantum mechanics, in the context of couplednonlinear Maxwell--SchrödingerandMaxwell--Dirac equations. The problem of adynamicaltreatment was the main inspiration for our theoryof global attractors ofnonlinear Hamiltonian PDEs.

Keywords

global attractorquantum mechanicsBohr's postulatesquantum stationary statesquantum jumpssolitonwave-particle dualityenergy radiationMaxwell--Schrödinger equationsMaxwell--Dirac equations
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Chapter
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Attractors of Hamiltonian Nonlinear Partial Differential Equations , pp. 192 - 199
Publisher: Cambridge University Press
Print publication year: 2021

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