dorsal/arxiv
View SchemaThe Rigged Hilbert Space Formulation of Quantum Mechanics and its Implications for Irreversibility
| Authors | C. Schulte, R. Twarock, A. Bohm |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9505004 |
| URL | https://arxiv.org/abs/quant-ph/9505004 |
Abstract
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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"abstract": "Quantum mechanics in the Rigged Hilbert Space formulation describes\nquasistationary phenomena mathematically rigorously in terms of Gamow vectors.\nWe show that these vectors exhibit microphysical irreversibility, related to an\nintrinsic quantum mechanical arrow of time, which states that preparation of a\nstate has to precede the registration of an observable in this state. Moreover,\nthe Rigged Hilbert Space formalism allows the derivation of an exact golden\nrule describing the transition of a pure Gamow state into a mixture of\ninteraction-free decay products.",
"arxiv_id": "quant-ph/9505004",
"authors": [
"C. Schulte",
"R. Twarock",
"A. Bohm"
],
"categories": [
"quant-ph"
],
"title": "The Rigged Hilbert Space Formulation of Quantum Mechanics and its Implications for Irreversibility",
"url": "https://arxiv.org/abs/quant-ph/9505004"
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