Symmetry Representations in the Rigged Hilbert Space Formulation of Quantum Mechanics
Wickramasekara, S. ; Bohm, A.
arXiv, 0302018 / Harvested from arXiv
Text on arXiv
We discuss some basic properties of Lie group representations in rigged Hilbert spaces. In particular, we show that a differentiable representation in a rigged Hilbert space may be obtained as the projective limit of a family of continuous representations in a nested scale of Hilbert spaces. We also construct a couple of examples illustrative of the key features of group representations in rigged Hilbert spaces. Finally, we establish a simple criterion for the integrability of an operator Lie algebra in a rigged Hilbert space.
Publié le : 2003-02-08
Classification:  Mathematical Physics,  Mathematics - Group Theory 
@article{0302018,
     author = {Wickramasekara, S. and Bohm, A.},
     title = {Symmetry Representations in the Rigged Hilbert Space Formulation of
  Quantum Mechanics},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0302018}
}

Wickramasekara, S.; Bohm, A. Symmetry Representations in the Rigged Hilbert Space Formulation of
  Quantum Mechanics. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0302018/