Relativistic wavefunctions on the Poincare group
Varlamov, V. V.
arXiv, 0308038 / Harvested from arXiv
Text on arXiv
The Biedenharn type relativistic wavefunctions are considered on the group manifold of the Poincar\'{e} group. It is shown that the wavefunctions can be factorized on the group manifold into translation group and Lorentz group parts. A Lagrangian formalism and field equations for such factorizations are given. Parametrizations of the functions obtained are studied in terms of a ten-parameter set of the Poincar\'{e} group. An explicit construction of the wavefunction for the spin 1/2 is given. A relation of the proposed description with the quantum field theory and harmonic analysis on the Poincar\'{e} group is discussed.
Publié le : 2003-08-28
Classification:  Mathematical Physics,  Mathematics - Group Theory,  22E43,  35Q40,  22E70 
@article{0308038,
     author = {Varlamov, V. V.},
     title = {Relativistic wavefunctions on the Poincare group},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0308038}
}

Varlamov, V. V. Relativistic wavefunctions on the Poincare group. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0308038/