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UNIVERSITY OF BUCHAREST
FACULTY OF PHYSICS Guest
2024-11-24 23:58 |
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Conference: Bucharest University Faculty of Physics 2015 Meeting
Section: Theoretical Physics and Applied Mathematics
Title:
On the possibility to analyze the states of a particle in terms of a subset of minimal states
Authors:
Mihai Dondera
Affiliation:
Department of Theoretical physics, Mathematics, Optics, Plasma, Lasers,
Faculty of Physics, University of Bucharest
E-mail
don@barutu.fizica.unibuc.ro
Keywords:
minimal states, coherent states, completeness
Abstract:
The minimal states related to the pair of position and momentum observables are
an important theoretical tool for the investigation of the relation between classical and quantum mechanics. They also present attractive features for the numerical integration of the time dependent Schrodinger equation.
For a particle in 1D motion, we discuss the possibility to expand the state
vectors in terms of vectors describing minimal states and forming a discrete infinite set. In order to find this expansion we use the properties of the coherent states for a fictitious 1D harmonic oscillator associated to the particle.
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