Duality and Scaling in Quantum Mechanics
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- July 1997
- DOI:
- 10.48550/arXiv.hep-th/9707055
- arXiv:
- arXiv:hep-th/9707055
- Bibcode:
- 1997hep.th....7055P
- Keywords:
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- High Energy Physics - Theory
- E-Print:
- 10 pages, Latex, email: dpd@nerist.ernet.in, To appear in Physics Letters A