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Spectral shift function for the Stark operator in the large coupling constant limit. / Pushnitski, A.; Sloushch, V.

In: Asymptotic Analysis, Vol. 51, No. 1, 2007, p. 63-89.

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Pushnitski, A & Sloushch, V 2007, 'Spectral shift function for the Stark operator in the large coupling constant limit', Asymptotic Analysis, vol. 51, no. 1, pp. 63-89.

APA

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Author

Pushnitski, A. ; Sloushch, V. / Spectral shift function for the Stark operator in the large coupling constant limit. In: Asymptotic Analysis. 2007 ; Vol. 51, No. 1. pp. 63-89.

BibTeX

@article{cfd01e7d6a1a4529ba82af6b9fcb645f,
title = "Spectral shift function for the Stark operator in the large coupling constant limit",
abstract = "Let H be the Stark operator in R-3 and let V = V (x) be a non-negative potential which decays at infinity as | x|(- l) for a sufficiently large l > 0. The spectral shift function for the pair of operators H + tV, H is studied in the asymptotic regime t --> infinity. The leading term of the asymptotics is obtained; the result is in agreement with the phase space volume considerations.",
keywords = "Stark operator, spectral shift function, large coupling constant, SCHRODINGER OPERATOR, HAMILTONIANS",
author = "A. Pushnitski and V. Sloushch",
year = "2007",
language = "Английский",
volume = "51",
pages = "63--89",
journal = "Asymptotic Analysis",
issn = "0921-7134",
publisher = "IOS Press",
number = "1",

}

RIS

TY - JOUR

T1 - Spectral shift function for the Stark operator in the large coupling constant limit

AU - Pushnitski, A.

AU - Sloushch, V.

PY - 2007

Y1 - 2007

N2 - Let H be the Stark operator in R-3 and let V = V (x) be a non-negative potential which decays at infinity as | x|(- l) for a sufficiently large l > 0. The spectral shift function for the pair of operators H + tV, H is studied in the asymptotic regime t --> infinity. The leading term of the asymptotics is obtained; the result is in agreement with the phase space volume considerations.

AB - Let H be the Stark operator in R-3 and let V = V (x) be a non-negative potential which decays at infinity as | x|(- l) for a sufficiently large l > 0. The spectral shift function for the pair of operators H + tV, H is studied in the asymptotic regime t --> infinity. The leading term of the asymptotics is obtained; the result is in agreement with the phase space volume considerations.

KW - Stark operator

KW - spectral shift function

KW - large coupling constant

KW - SCHRODINGER OPERATOR

KW - HAMILTONIANS

M3 - статья

VL - 51

SP - 63

EP - 89

JO - Asymptotic Analysis

JF - Asymptotic Analysis

SN - 0921-7134

IS - 1

ER -

ID: 37263862