Lagrangian in quantum mechanics is a connection one-form
Sharan, Pankaj ; Chingangbam, Pravabati
arXiv, 0301133 / Harvested from arXiv
Text on arXiv
We recast Dirac's Lagrangian in quantum mechanics in the language of vector bundles and show that the action is an operator-valued connection one-form. Phases associated with change of frames of reference are seen to be total differentials in the transformation of the action. The relativistic case is discussed and we show that it gives the correct phase in the non-relativistic limit for uniform acceleration.
Publié le : 2003-01-24
Classification:  Quantum Physics,  High Energy Physics - Theory,  Mathematical Physics 
@article{0301133,
     author = {Sharan, Pankaj and Chingangbam, Pravabati},
     title = {Lagrangian in quantum mechanics is a connection one-form},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0301133}
}

Sharan, Pankaj; Chingangbam, Pravabati. Lagrangian in quantum mechanics is a connection one-form. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0301133/