کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1857397 | 1529871 | 2014 | 16 صفحه PDF | دانلود رایگان |
• A formulation of Galilean quantum mechanics in non-inertial reference frames is given.
• The key concept is the Galilean line group, an infinite dimensional group.
• A large class of general cocycle representations of the Galilean line group is constructed.
• These representations show violations of the equivalence principle at the quantum level.
• At the classical limit, no violations of the equivalence principle are detected.
In previous work we have developed a formulation of quantum mechanics in non-inertial reference frames. This formulation is grounded in a class of unitary cocycle representations of what we have called the Galilean line group, the generalization of the Galilei group that includes transformations amongst non-inertial reference frames. These representations show that in quantum mechanics, just as is the case in classical mechanics, the transformations to accelerating reference frames give rise to fictitious forces. A special feature of these previously constructed representations is that they all respect the non-relativistic equivalence principle, wherein the fictitious forces associated with linear acceleration can equivalently be described by gravitational forces. In this paper we exhibit a large class of cocycle representations of the Galilean line group that violate the equivalence principle. Nevertheless the classical mechanics analogue of these cocycle representations all respect the equivalence principle.
Journal: Annals of Physics - Volume 340, Issue 1, January 2014, Pages 94–109