dorsal/arxiv
View SchemaAlternative Descriptions in Quaternionic Quantum Mechanics
| Authors | A. Blasi, G. Scolarici, L. Solombrino |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0407158 |
| URL | https://arxiv.org/abs/quant-ph/0407158 |
| DOI | 10.1063/1.1873040 |
Abstract
We characterize the quasianti-Hermitian quaternionic operators in QQM by means of their spectra; moreover, we state a necessary and sufficient condition for a set of quasianti-Hermitian quaternionic operators to be anti-Hermitian with respect to a uniquely defined positive scalar product in a infinite dimensional (right) quaternionic Hilbert space. According to such results we obtain two alternative descriptions of a quantum optical physical system, in the realm of quaternionic quantum mechanics, while no alternative can exist in complex quantum mechanics, and we discuss some differences between them.
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"abstract": "We characterize the quasianti-Hermitian quaternionic operators in QQM by\nmeans of their spectra; moreover, we state a necessary and sufficient condition\nfor a set of quasianti-Hermitian quaternionic operators to be anti-Hermitian\nwith respect to a uniquely defined positive scalar product in a infinite\ndimensional (right) quaternionic Hilbert space. According to such results we\nobtain two alternative descriptions of a quantum optical physical system, in\nthe realm of quaternionic quantum mechanics, while no alternative can exist in\ncomplex quantum mechanics, and we discuss some differences between them.",
"arxiv_id": "quant-ph/0407158",
"authors": [
"A. Blasi",
"G. Scolarici",
"L. Solombrino"
],
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"quant-ph"
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"doi": "10.1063/1.1873040",
"title": "Alternative Descriptions in Quaternionic Quantum Mechanics",
"url": "https://arxiv.org/abs/quant-ph/0407158"
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