Physics – Quantum Physics
Scientific paper
1998-05-21
Physics
Quantum Physics
60 pages, to appear in Irreversibility and Causality in Quatum Theory: Semigroups and Rigged Hilbert Space, Arno Bohm, H.D. Do
Scientific paper
10.1007/BFb0106783
After a review of the arrows of time, we describe the possibilities of a time-asymmetry in quantum theory. Whereas Hilbert space quantum mechanics is time-symmetric, the rigged Hilbert space formulation, which arose from Dirac's bra-ket formalism, allows the choice of asymmetric boundary conditions analogous to the retarded solutions of the Maxwell equations for the radiation arrow of time. This led to irreversibility on the microphysical level as exemplified by decaying states or resonances. Resonances are mathematically represented by Gamow kets, functionals over a space of very well-behaved (Hardy class) vectors, which have been chosen by a boundary condition (outgoing for decaying states). Gamow states have all the properties that one heuristically needs for quasistable states. For them a Golden Rule can be derived from the fundamental probabilities that fulfills the time-asymmetry condition which could not be realized in the Hilbert space.
Böhm Alexander
Harshman N. L.
No associations
LandOfFree
Quantum Theory in the Rigged Hilbert Space-Irreversibility from Causality does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Quantum Theory in the Rigged Hilbert Space-Irreversibility from Causality, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quantum Theory in the Rigged Hilbert Space-Irreversibility from Causality will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-86326