Articles dans des revues à comité de lecture
|Gauge transformations and conserved quantities in classical and quantum mechanics|
|Berche B., Malterre D., Medina E.|
|Am. J. Phys. 84 (2016) 616-625|
|DOI : 10.1119/1.4955153|
|ArXiv : arxiv:1606.05748 [PDF]|
We are taught that gauge transformations in classical and quantum mechanics do not change the physics of the problem. Nevertheless here we discuss three broad scenarios where under gauge transformations: (i) conservation laws are not preserved in the usual manner; (ii) non-gauge-invariant quantities can be associated with physical observables; and (iii) there are changes in the physical boundary conditions of the wave function that render it non-single-valued. We give worked examples that illustrate these points, in contrast to general opinions from classic texts. We also give a historical perspective on the development of Abelian gauge theory in relation to our particular points. Our aim is to provide a discussion of these issues at the graduate level.