dorsal/arxiv
View SchemaQuantum mechanics and irreversible time flow
| Authors | Milos V. Lokajicek |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0211024 |
| URL | https://arxiv.org/abs/quant-ph/0211024 |
Abstract
Time flow has been embodied in time-dependent Schroedinger equation representing one of the foundations of quantum mechanics. Pauli's criticism (1933) has, however, indicated that the assumptions concerning representation Hilbert space have led to some contradictions. Many authors have tried to solve this discrepancy practically without any actual success. The reason may be seen in that two different problems have been mixed: the problem of Pauli (being more general and more important) and non-unitarity of exponential phase operator of linear harmonic oscillator introduced by Dirac, as demonstrated in 1964. The problem will be discussed in a broad historical context and a solution based on extension of representation Hilbert space will be shown.
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"abstract": "Time flow has been embodied in time-dependent Schroedinger equation\nrepresenting one of the foundations of quantum mechanics. Pauli\u0027s criticism\n(1933) has, however, indicated that the assumptions concerning representation\nHilbert space have led to some contradictions. Many authors have tried to solve\nthis discrepancy practically without any actual success. The reason may be seen\nin that two different problems have been mixed: the problem of Pauli (being\nmore general and more important) and non-unitarity of exponential phase\noperator of linear harmonic oscillator introduced by Dirac, as demonstrated in\n1964. The problem will be discussed in a broad historical context and a\nsolution based on extension of representation Hilbert space will be shown.",
"arxiv_id": "quant-ph/0211024",
"authors": [
"Milos V. Lokajicek"
],
"categories": [
"quant-ph"
],
"title": "Quantum mechanics and irreversible time flow",
"url": "https://arxiv.org/abs/quant-ph/0211024"
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