dorsal/arxiv
View SchemaStructure of the density matrix providing the minimum of generalized uncertainty relation for mixed states
| Authors | M. U. Karelin, A. M. Lazaruk |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0006055 |
| URL | https://arxiv.org/abs/quant-ph/0006055 |
| DOI | 10.1088/0305-4470/33/38/311 |
Abstract
For configurational space of arbitrary dimension a strict form of the uncertainty principle has been obtained, which takes into account the dependence of inequality limit on the effective number of pure states present in given statistical mixture. It is shown that in a state with minimal uncertainty the density operators eigenfunctions coincide with the stationary wavefunctions of a multidimensional harmonic oscillator. The mixed state obtained has a permutational symmetry which is typical for a system of identical bosons.
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"abstract": "For configurational space of arbitrary dimension a strict form of the\nuncertainty principle has been obtained, which takes into account the\ndependence of inequality limit on the effective number of pure states present\nin given statistical mixture. It is shown that in a state with minimal\nuncertainty the density operators eigenfunctions coincide with the stationary\nwavefunctions of a multidimensional harmonic oscillator. The mixed state\nobtained has a permutational symmetry which is typical for a system of\nidentical bosons.",
"arxiv_id": "quant-ph/0006055",
"authors": [
"M. U. Karelin",
"A. M. Lazaruk"
],
"categories": [
"quant-ph",
"physics.optics"
],
"doi": "10.1088/0305-4470/33/38/311",
"title": "Structure of the density matrix providing the minimum of generalized uncertainty relation for mixed states",
"url": "https://arxiv.org/abs/quant-ph/0006055"
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