THE UNCERTAINTY RELATION FOR AN ASSEMBLY OF PLANCK-TYPE OSCILLATORS -A POSSIBLE GR-QUANTUM MECHANICS CONNECTION

Authors
AGOP M GRIGA V CIOBANU B BUZEA C STAN C TATOMIR D BUZEA CG
Citation
M. Agop et al., THE UNCERTAINTY RELATION FOR AN ASSEMBLY OF PLANCK-TYPE OSCILLATORS -A POSSIBLE GR-QUANTUM MECHANICS CONNECTION, Chaos, solitons and fractals, 8(5), 1997, pp. 809-821
Citations number
27
Categorie Soggetti
Mathematics,"Mathematical Method, Physical Science",Mathematics,Physics,"Physycs, Mathematical
Journal title
Chaos, solitons and fractals → ACNP
ISSN journal
09600779
Volume
8
Issue
5
Year of publication
1997
Pages
809 - 821
Database
ISI
SICI code
0960-0779(1997)8:5<809:TURFAA>2.0.ZU;2-B
Abstract
It is shown that an assembly of Planck-type oscillators may be describ ed by a continuous group with three parameters. In such a case, the un certainty relation may be obtained by the application of a theorem on the invariant functions, when a simultaneous action of two isomorphic groups is involved. The group's parameters are interpreted by means of a variational principle, as field amplitudes of a stationary metric, while the group's invariant function is interpreted as the square root of a wave function satisfying a Schrodinger-type equation. (C) 1997 E lsevier Science Ltd.