dorsal/arxiv
View SchemaBypassing Pauli's theorem
| Authors | J. M. Isidro |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0410070 |
| URL | https://arxiv.org/abs/quant-ph/0410070 |
| DOI | 10.1016/j.physleta.2004.12.012 |
| Journal | Phys.Lett. A334 (2005) 370-375 |
Abstract
We define a quantum-mechanical time operator that is selfadjoint and compatible with the energy operator having a spectrum bounded from below. On their common domain, the operators of time and energy satisfy the expected canonical commutation relation. Pauli's theorem is bypassed because the correspondence between time and energy is not given by the standard Fourier transformation, but by a variant thereof known as the holomorphic Fourier transformation.
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"abstract": "We define a quantum-mechanical time operator that is selfadjoint and\ncompatible with the energy operator having a spectrum bounded from below. On\ntheir common domain, the operators of time and energy satisfy the expected\ncanonical commutation relation. Pauli\u0027s theorem is bypassed because the\ncorrespondence between time and energy is not given by the standard Fourier\ntransformation, but by a variant thereof known as the holomorphic Fourier\ntransformation.",
"arxiv_id": "quant-ph/0410070",
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"doi": "10.1016/j.physleta.2004.12.012",
"journal_ref": "Phys.Lett. A334 (2005) 370-375",
"title": "Bypassing Pauli\u0027s theorem",
"url": "https://arxiv.org/abs/quant-ph/0410070"
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