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On the Lie Group of Projective Canonical Transformations
Author(s) -
Flach G.,
Kirschbaum D.
Publication year - 1989
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/andp.19895010502
Subject(s) - group (periodic table) , pure mathematics , lie group , mathematics , transformation (genetics) , space (punctuation) , projective space , configuration space , canonical transformation , complex projective space , physics , projective test , algebra over a field , computer science , quantum mechanics , biochemistry , chemistry , quantum , gene , operating system
The transformation properties of the projective canonical group are considered. It is shown that the group acts transitiv on functions defined on configuration space but not transitiv on those defined on the phase space. We prove moreover that this group is the largest finite‐dimensional Lie group of point transformations determined on the configuration space.