COMPUTATIONAL FORMALISM FOR THE GROUP OF MOTIONS OF A PSEUDO-EUCLIDEAN PLANE

Authors
LVOV DV SHELEPIN AL SHELEPIN LA
Citation
Dv. Lvov et al., COMPUTATIONAL FORMALISM FOR THE GROUP OF MOTIONS OF A PSEUDO-EUCLIDEAN PLANE, Physics of atomic nuclei, 57(6), 1994, pp. 1083-1088
Citations number
7
Categorie Soggetti
Physics, Nuclear","Physics, Particles & Fields
Journal title
Physics of atomic nuclei → ACNP
ISSN journal
10637788
Volume
57
Issue
6
Year of publication
1994
Pages
1083 - 1088
Database
ISI
SICI code
1063-7788(1994)57:6<1083:CFFTGO>2.0.ZU;2-M
Abstract
A computational formalism for the group M(1, 1) of motions of the pseu do-Euclidean plane is developed. The bases, wave functions, matrix ele ments of operators, coherent states, and Clebsch-Gordan series are con structed. A compendium of computational formulas for the M(2) group is given. The results obtained for the M(1, 1) and M(2) groups are an im portant step on the way to constructing the computational formalism fo r the Poincare group playing the fundamental role in modem physics.