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SL(2, ℝ) Invariance of the Kepler Type Motions and Shannon Informational Entropy. Uncertainty Relations Through the Constant Value of the Onicescu Informational Energy

Authors :
Maricel Agop
Alina Gavriluţ
Stefan Gavril
Source :
Reports on Mathematical Physics. 75:101-112
Publication Year :
2015
Publisher :
Elsevier BV, 2015.

Abstract

It is shown that Onicescu's informational energy can be correlated by means of Shannon's maximum informational entropy variational principle with SL(2, ℝ) invariance of the Kepler type motions. For constant value of Onicescu's informational energy, the uncertainty relations are obtained.

Details

ISSN :
00344877
Volume :
75
Database :
OpenAIRE
Journal :
Reports on Mathematical Physics
Accession number :
edsair.doi...........b1c2db5786cd8607164e55981f79617a
Full Text :
https://doi.org/10.1016/s0034-4877(15)60027-1