Anyon wave equations and the noncommutative plane
Horvathy, Peter A. ; Plyushchay, Mikhail S.
HAL, hal-00007548 / Harvested from HAL
Text on HAL
The ``Jackiw-Nair\'\' non-relativistic limit of the relativistic anyon equations provides us with infinite-component wave equations of the Dirac-Majorana-Levy-Leblond type for the ``exotic\'\' particle, associated with the two-fold central extension of the planar Galilei group. An infinite dimensional representation of the Galilei group is found. The velocity operator is studied, and the observable coordinates describing a noncommutative plane are identified.
Publié le : 2004-07-05
Classification:  [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph],  [PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph],  [PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th] 
@article{hal-00007548,
     author = {Horvathy, Peter A. and Plyushchay, Mikhail S.},
     title = {Anyon wave equations and the noncommutative plane},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00007548}
}

Horvathy, Peter A.; Plyushchay, Mikhail S. Anyon wave equations and the noncommutative plane. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00007548/