Duality and Scaling in Quantum Mechanics
arXiv:hep-th/9707055
Abstract
The nonadiabatic geometric phase in a time dependent quantum evolution is shown to provide an intrinsic concept of time having dual properties relative to the external time. A nontrivial extension of the ordinary quantum mechanics is thus obtained with interesting scaling laws. A fractal like structure in time is thus revealed.
10 pages, Latex, email: [email protected], To appear in Physics Letters A