Representations of the Schrodinger algebra and Appell systems
Feinsilver, Ph. ; Kocik, J. ; Schott, R.
arXiv, 0008035 / Harvested from arXiv
Text on arXiv
We investigate the structure of the Schrodinger algebra and its representations in a Fock space realized in terms of canonical Appell systems. Generalized coherent states are used in the construction of a Hilbert space of functions on which certain commuting elements act as self-adjoint operators. This yields a probabilistic interpretation of these operators as random variables. An interesting feature is how the structure of the Lie algebra is reflected in the probability density function. A Leibniz function and orthogonal basis for the Hilbert space is found. Then Appell systems connected with certain evolution equations, analogs of the classical heat equation, on this algebra are computed.
Publié le : 2000-08-24
Classification:  Mathematical Physics,  Mathematics - Representation Theory,  81R05, 17B81, 60BXX 
@article{0008035,
     author = {Feinsilver, Ph. and Kocik, J. and Schott, R.},
     title = {Representations of the Schrodinger algebra and Appell systems},
     journal = {arXiv},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0008035}
}

Feinsilver, Ph.; Kocik, J.; Schott, R. Representations of the Schrodinger algebra and Appell systems. arXiv, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/0008035/