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
| Original language | English |
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| Pages (from-to) | 63 - 89 |
| Number of pages | 27 |
| Journal | ASYMPTOTIC ANALYSIS |
| Volume | 51 |
| Issue number | 1 |
| Publication status | Published - 2007 |