%0 Journal Article %1 berche2016gauge %A Berche, Bertrand %A Malterre, Daniel %A Medina, Ernesto %D 2016 %K qm %T Gauge transformations and conserved quantities in classical and quantum mechanics %U http://arxiv.org/abs/1606.05748 %X 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.

@article{berche2016gauge, abstract = {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.}, added-at = {2016-07-02T12:29:10.000+0200}, author = {Berche, Bertrand and Malterre, Daniel and Medina, Ernesto}, biburl = {https://www.bibsonomy.org/bibtex/232f97c2a4741ae7ab83e291895a83b75/vindex10}, description = {How do gauge transformations make an influence on conserved quantities}, interhash = {14e8b1b9cbf2bda356c0495e9b26f772}, intrahash = {32f97c2a4741ae7ab83e291895a83b75}, keywords = {qm}, note = {cite arxiv:1606.05748}, timestamp = {2016-07-02T12:29:10.000+0200}, title = {Gauge transformations and conserved quantities in classical and quantum mechanics}, url = {http://arxiv.org/abs/1606.05748}, year = 2016 }