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Title Quantum hydrodynamics near caustics
Alternative Title Κβαντική υδροδυναμική κοντά σε καυστικές
Author Καρνέζης, Αριστείδης
Thesis advisor Μακράκης, Γεώργιος Ν.
Abstract We consider some basic features of quantum hydrodynamics near simple fold and cusp caustics. We show that the initial value problem for the Bohmian trajectories is not well posed, since the quantum potential and the derivatives of the phase of the wave function are too singular. These observations imply, that in the classical limit, the Bohmian trajectories do not converge to the geometric rays because caustics onset at t = 0+.
Language English
Subject BOHM equations
BOHM trajectories
Burgers equation
Geometrical optics
Quantum potential
Wigner transform
Γεωμετρική οπτική
Εξισώσεις BOHM
Κβαντικό δυναμικό
Μετασχηματισμός Wigner
Τροχίες BOHM
Issue date 2018-03-22
Collection   Faculty/Department--Faculty of Sciences and Engineering--Department of Mathematics and Applied Mathematics--Graduate theses
  Type of Work--Graduate theses
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