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UNIVERSITY OF BUCHAREST
FACULTY OF PHYSICS Guest
2024-11-24 9:31 |
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Conference: Bucharest University Faculty of Physics 2011 Meeting
Section: Theoretical Physics and Applied Mathematics
Title:
Finite quantum systems and frame quantization
Authors:
N. Cotfas
Affiliation:
Faculty of Physics, University of Bucharest, P.O.BOX MG-11, Bucharest, Romania
E-mail
ncotfas@yahoo.com
Keywords:
finite quantum systems, finite Fourier transform, coherent state quantization, frame quantization
Abstract:
The quantum observables used in the case of quantum systems with finite-dimensional Hilbert space are defined either algebraically in terms of an orthonormal basis and discrete Fourier transformation or by using a continuous system of coherent states. We present an alternative approach to these important quantum systems based on the finite frame quantization. Some finite systems of coherent states, usually called finite tight frames, can be defined in a natural way in the case of finite quantum systems. The quantum observables used in our approach are obtained by starting from certain classical observables described by functions defined on the discrete phase space corresponding to the system. They are obtained by using a finite frame and a Klauder-Berezin-Toeplitz type quantization.
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