dorsal/arxiv
View SchemaNumber-phase Wigner function on extended Fock space
| Authors | Kiyotaka Kakazu |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0309165 |
| URL | https://arxiv.org/abs/quant-ph/0309165 |
Abstract
On the basis of the phase states, we present the correct integral expressions of the two number-phase Wigner functions discovered so far. These correct forms are derived from those defined in the extended Fock space with negative number states. The analogous conditions to Wigner's original ones cannot lead to the number-phase function uniquely. To show this fact explicitly, we propose another function satisfying all these conditions. It is also shown that the ununiqueness of the number-phase Wigner function result from the phase-periodicity problem.
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"abstract": "On the basis of the phase states, we present the correct integral expressions\nof the two number-phase Wigner functions discovered so far. These correct forms\nare derived from those defined in the extended Fock space with negative number\nstates. The analogous conditions to Wigner\u0027s original ones cannot lead to the\nnumber-phase function uniquely. To show this fact explicitly, we propose\nanother function satisfying all these conditions. It is also shown that the\nununiqueness of the number-phase Wigner function result from the\nphase-periodicity problem.",
"arxiv_id": "quant-ph/0309165",
"authors": [
"Kiyotaka Kakazu"
],
"categories": [
"quant-ph"
],
"title": "Number-phase Wigner function on extended Fock space",
"url": "https://arxiv.org/abs/quant-ph/0309165"
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