The uncertainty principle for operators determined by Lie groups
Christensen, Jens Gerlach
arXiv, 0301002 / Harvested from arXiv
Text on arXiv
For unbounded operators A,B and C in general, with C closure of [A,B] does not lead to the uncertainty relation ||Au|| ||Bu|| >= | |/2. If A,B and C are part of the generators of a unitary representation of a Lie group then the uncertainty principle above holds.
Publié le : 2003-01-01
Classification:  Mathematics - Differential Geometry,  Mathematical Physics,  22E45,  47B15,  47B25,  81Q10 
@article{0301002,
     author = {Christensen, Jens Gerlach},
     title = {The uncertainty principle for operators determined by Lie groups},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0301002}
}

Christensen, Jens Gerlach. The uncertainty principle for operators determined by Lie groups. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0301002/