CANONICAL TRANSFORMATIONS IN THREE-DIMENSIONAL PHASE-SPACE
2009 ◽
Vol 24
(25n26)
◽
pp. 4769-4788
◽
Keyword(s):
Canonical transformation in a three-dimensional phase-space endowed with Nambu bracket is discussed in a general framework. Definition of the canonical transformations is constructed based on canonoid transformations. It is shown that generating functions, transformed Hamilton functions and the transformation itself for given generating functions can be determined by solving Pfaffian differential equations corresponding to that quantities. Types of the generating functions are introduced and all of them are listed. Infinitesimal canonical transformations are also discussed. Finally, we show that the decomposition of canonical transformations is also possible in three-dimensional phase space as in the usual two-dimensional one.
1966 ◽
Vol 25
◽
pp. 46-48
◽
1990 ◽
Vol 431
(1883)
◽
pp. 403-417
◽
2013 ◽
Vol 712-715
◽
pp. 1171-1174
◽
Keyword(s):
2019 ◽
Vol 489
(1)
◽
pp. 1344-1356