The Rigged Hilbert Space Formulation of Quantum Mechanics and its Implications for Irreversibility

Details The Rigged Hilbert Space Formulation of Quantum Mechanics and its Implications for Irreversibility The Rigged Hilbert Space Formulation of Quantum Mechanics and its Implications for Irreversibility

1995-05-12

arxiv.org/abs/quant-ph/9505004v1

Physics

Quantum Physics

18 pages, latex

Scientific paper

Quantum mechanics in the Rigged Hilbert Space formulation describes quasistationary phenomena mathematically rigorously in terms of Gamow vectors. We show that these vectors exhibit microphysical irreversibility, related to an intrinsic quantum mechanical arrow of time, which states that preparation of a state has to precede the registration of an observable in this state. Moreover, the Rigged Hilbert Space formalism allows the derivation of an exact golden rule describing the transition of a pure Gamow state into a mixture of interaction-free decay products.

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