Duality and Scaling in Quantum Mechanics

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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10 pages, Latex, email: dpd@nerist.ernet.in, To appear in Physics Letters A

Scientific paper

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.

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