Uncertainty relations in deformation quantization

M. Przanowski; F. J. Turrubiates

doi:10.1088/0305-4470/35/49/312

Uncertainty relations in deformation quantization

M. Przanowski, F. J. Turrubiates

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

Robertson and Hadamard-Robertson theorems on non-negative definite Hermitian forms are generalized to an arbitrary ordered field. These results are then applied to the case of formal power series fields, and the Heisenberg-Robertson, Robertson-Schrödinger and trace uncertainty relations in deformation quantization are found. Some conditions under which the uncertainty relations are minimized are also given.

Original language	English
Pages (from-to)	10643-10661
Number of pages	19
Journal	Journal of Physics A: Mathematical and General
Volume	35
Issue number	49
DOIs	https://doi.org/10.1088/0305-4470/35/49/312
State	Published - 13 Dec 2002
Externally published	Yes

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title = "Uncertainty relations in deformation quantization",

abstract = "Robertson and Hadamard-Robertson theorems on non-negative definite Hermitian forms are generalized to an arbitrary ordered field. These results are then applied to the case of formal power series fields, and the Heisenberg-Robertson, Robertson-Schr{\"o}dinger and trace uncertainty relations in deformation quantization are found. Some conditions under which the uncertainty relations are minimized are also given.",

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N2 - Robertson and Hadamard-Robertson theorems on non-negative definite Hermitian forms are generalized to an arbitrary ordered field. These results are then applied to the case of formal power series fields, and the Heisenberg-Robertson, Robertson-Schrödinger and trace uncertainty relations in deformation quantization are found. Some conditions under which the uncertainty relations are minimized are also given.

AB - Robertson and Hadamard-Robertson theorems on non-negative definite Hermitian forms are generalized to an arbitrary ordered field. These results are then applied to the case of formal power series fields, and the Heisenberg-Robertson, Robertson-Schrödinger and trace uncertainty relations in deformation quantization are found. Some conditions under which the uncertainty relations are minimized are also given.

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DO - 10.1088/0305-4470/35/49/312

M3 - Artículo

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VL - 35

SP - 10643

EP - 10661

JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

IS - 49

ER -

Uncertainty relations in deformation quantization

Abstract

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