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