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UNIVERSITY OF BUCHAREST
FACULTY OF PHYSICS Guest
2024-11-22 1:24 |
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Conference: Bucharest University Faculty of Physics 2013 Meeting
Section: Theoretical Physics and Applied Mathematics
Title:
Finite frame quantization and some applications
Authors:
Nicolae Cotfas
Affiliation:
Faculty of Physics, University of Bucharest
E-mail
ncotfas@yahoo.com
Keywords:
Quantum system with finite-dimensional Hilbert space, finite frame quantization, harmonic oscillator, fractional Fourier transform
Abstract:
The Hamiltonian of the harmonic oscillator is usually defined as a differential operator, but an integral representation can be obtained by using the coherent state quantization.
The finite frame quantization is a finite counterpart of the coherent state quantization and it allows us to define a finite oscillator by starting from the integral representation of the harmonic oscillator. Our purpose is to investigate the oscillator obtained in this way, and to present a possible application to the discrete fractional Fourier transform.
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