ON THE INFORMATION AND UNCERTAINTY RELATION OF CANONICAL QUANTUM-SYSTEMS WITH SL(2R) INVARIANCE

Authors
AGOP M BUZEA C BUZEA CG CHIRILA L OANCEA S
Citation
M. Agop et al., ON THE INFORMATION AND UNCERTAINTY RELATION OF CANONICAL QUANTUM-SYSTEMS WITH SL(2R) INVARIANCE, Chaos, solitons and fractals, 7(5), 1996, pp. 659-668
Citations number
24
Categorie Soggetti
Mathematics,Mechanics,Engineering,"Physics, Applied
Journal title
Chaos, solitons and fractals → ACNP
ISSN journal
09600779
Volume
7
Issue
5
Year of publication
1996
Pages
659 - 668
Database
ISI
SICI code
0960-0779(1996)7:5<659:OTIAUR>2.0.ZU;2-Z
Abstract
By correlating the principle of Shannon's maximum informational entrop y with the constant value of Onicescu's informational energy, one can obtain the uncertainty relation for canonical systems with SL(2R) inva riance. The constant value of Onicescu's informational energy correspo nds, through transitivity manifolds of the group, to the ergodic theor em. The informational energy expression for the classical oscillator a nd quantum system describing the interaction of neutrons with an atom for the crystalline lattice, are retrieved. Copyright (C) 1996 Elsevie r Science Ltd.