dorsal/arxiv
View SchemaMinimal Irreversible Quantum Mechanics
| Authors | Mario Castagnino, Roberto Laura |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9612041 |
| URL | https://arxiv.org/abs/quant-ph/9612041 |
Abstract
It is demonstrated that, making minimal changes in ordinary quantum mechanics, a reasonable irreversible quantum mechanics can be obtained. This theory has a more general spectral decompositions, with eigenvectors corresponding to unstable states that vanish when $t \to \infty .$ These ''Gamov vectors'' have zero norm, in such a way that the norm and the energy of the physical states remain constant. The evolution operator has no inverse, showing that we are really dealing with a time-asymmetric theory. Using Friedrichs model reasonable physical results are obtained, e. g. : the remaining of an unstable decaying state reappears, in the continuous spectrum of the model, with its primitive energy.
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"abstract": "It is demonstrated that, making minimal changes in ordinary quantum\nmechanics, a reasonable irreversible quantum mechanics can be obtained. This\ntheory has a more general spectral decompositions, with eigenvectors\ncorresponding to unstable states that vanish when $t \\to \\infty .$ These\n\u0027\u0027Gamov vectors\u0027\u0027 have zero norm, in such a way that the norm and the energy of\nthe physical states remain constant. The evolution operator has no inverse,\nshowing that we are really dealing with a time-asymmetric theory. Using\nFriedrichs model reasonable physical results are obtained, e. g. : the\nremaining of an unstable decaying state reappears, in the continuous spectrum\nof the model, with its primitive energy.",
"arxiv_id": "quant-ph/9612041",
"authors": [
"Mario Castagnino",
"Roberto Laura"
],
"categories": [
"quant-ph"
],
"title": "Minimal Irreversible Quantum Mechanics",
"url": "https://arxiv.org/abs/quant-ph/9612041"
},
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"variant": "snapshot-2026-03-01",
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