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A classical limit for the centerof-mass tomogram in view of the central limit theorem. / Amosov, G. G.; Man'Ko, V. I.

в: Physica Scripta, Том 80, № 2, 025006, 27.11.2009.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Amosov, GG & Man'Ko, VI 2009, 'A classical limit for the centerof-mass tomogram in view of the central limit theorem', Physica Scripta, Том. 80, № 2, 025006. https://doi.org/10.1088/0031-8949/80/02/025006

APA

Amosov, G. G., & Man'Ko, V. I. (2009). A classical limit for the centerof-mass tomogram in view of the central limit theorem. Physica Scripta, 80(2), [025006]. https://doi.org/10.1088/0031-8949/80/02/025006

Vancouver

Amosov GG, Man'Ko VI. A classical limit for the centerof-mass tomogram in view of the central limit theorem. Physica Scripta. 2009 Нояб. 27;80(2). 025006. https://doi.org/10.1088/0031-8949/80/02/025006

Author

Amosov, G. G. ; Man'Ko, V. I. / A classical limit for the centerof-mass tomogram in view of the central limit theorem. в: Physica Scripta. 2009 ; Том 80, № 2.

BibTeX

@article{2ddd0e9f21ee4d2e989ef42551e0be85,
title = "A classical limit for the centerof-mass tomogram in view of the central limit theorem",
abstract = "We investigate the dependence of the center-of-mass tomogram of a system with many degrees of freedom N on Planck's constant . It is shown that the use of the central limit theorem at N→+∞ in the quantum case can be employed for checking the condition of its validity in the famous Lyapunov form. In this case, the resulting distribution is Gaussian if the initial distribution is a product of either independent excited states of a quantum oscillator or even and odd coherent states. Then, at Planck's constant → 0, one gets the δ-function associated with the distribution with the maximum at zero and with the probability equal to one.",
author = "Amosov, {G. G.} and Man'Ko, {V. I.}",
year = "2009",
month = nov,
day = "27",
doi = "10.1088/0031-8949/80/02/025006",
language = "English",
volume = "80",
journal = "Physica Scripta Topical Issues",
issn = "0031-8949",
publisher = "IOP Publishing Ltd.",
number = "2",

}

RIS

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T1 - A classical limit for the centerof-mass tomogram in view of the central limit theorem

AU - Amosov, G. G.

AU - Man'Ko, V. I.

PY - 2009/11/27

Y1 - 2009/11/27

N2 - We investigate the dependence of the center-of-mass tomogram of a system with many degrees of freedom N on Planck's constant . It is shown that the use of the central limit theorem at N→+∞ in the quantum case can be employed for checking the condition of its validity in the famous Lyapunov form. In this case, the resulting distribution is Gaussian if the initial distribution is a product of either independent excited states of a quantum oscillator or even and odd coherent states. Then, at Planck's constant → 0, one gets the δ-function associated with the distribution with the maximum at zero and with the probability equal to one.

AB - We investigate the dependence of the center-of-mass tomogram of a system with many degrees of freedom N on Planck's constant . It is shown that the use of the central limit theorem at N→+∞ in the quantum case can be employed for checking the condition of its validity in the famous Lyapunov form. In this case, the resulting distribution is Gaussian if the initial distribution is a product of either independent excited states of a quantum oscillator or even and odd coherent states. Then, at Planck's constant → 0, one gets the δ-function associated with the distribution with the maximum at zero and with the probability equal to one.

UR - http://www.scopus.com/inward/record.url?scp=70450164517&partnerID=8YFLogxK

U2 - 10.1088/0031-8949/80/02/025006

DO - 10.1088/0031-8949/80/02/025006

M3 - Article

AN - SCOPUS:70450164517

VL - 80

JO - Physica Scripta Topical Issues

JF - Physica Scripta Topical Issues

SN - 0031-8949

IS - 2

M1 - 025006

ER -

ID: 41888382