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Towards a tomographic representation of quantum mechanics on the plane. / Amosov, G. G.; Dnestryan, A. I.

In: Physica Scripta, Vol. 90, No. 7, 074025, 01.07.2015.

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Amosov, G. G. ; Dnestryan, A. I. / Towards a tomographic representation of quantum mechanics on the plane. In: Physica Scripta. 2015 ; Vol. 90, No. 7.

BibTeX

@article{e988ac70dc4c43f0bb07ea33d2933041,
title = "Towards a tomographic representation of quantum mechanics on the plane",
abstract = "On the base of symplectic quantum tomogram we define a probability distribution on the plane ℝ2. The dual map transfers all observables which are polynomials of the position and momentum operators to the set of polynomials of two variables. In this representation the average values of observables can be calculated by means of integration over all the plane.",
keywords = "Average values, Dual map, Tomography",
author = "Amosov, {G. G.} and Dnestryan, {A. I.}",
year = "2015",
month = jul,
day = "1",
doi = "10.1088/0031-8949/90/7/074025",
language = "English",
volume = "90",
journal = "Physica Scripta",
issn = "0031-8949",
publisher = "IOP Publishing Ltd.",
number = "7",

}

RIS

TY - JOUR

T1 - Towards a tomographic representation of quantum mechanics on the plane

AU - Amosov, G. G.

AU - Dnestryan, A. I.

PY - 2015/7/1

Y1 - 2015/7/1

N2 - On the base of symplectic quantum tomogram we define a probability distribution on the plane ℝ2. The dual map transfers all observables which are polynomials of the position and momentum operators to the set of polynomials of two variables. In this representation the average values of observables can be calculated by means of integration over all the plane.

AB - On the base of symplectic quantum tomogram we define a probability distribution on the plane ℝ2. The dual map transfers all observables which are polynomials of the position and momentum operators to the set of polynomials of two variables. In this representation the average values of observables can be calculated by means of integration over all the plane.

KW - Average values

KW - Dual map

KW - Tomography

UR - http://www.scopus.com/inward/record.url?scp=84936864368&partnerID=8YFLogxK

U2 - 10.1088/0031-8949/90/7/074025

DO - 10.1088/0031-8949/90/7/074025

M3 - Article

AN - SCOPUS:84936864368

VL - 90

JO - Physica Scripta

JF - Physica Scripta

SN - 0031-8949

IS - 7

M1 - 074025

ER -

ID: 41887795