Two-dimensional Schrödinger operators with point interactions: Threshold expansions, zero modes and Lp-boundedness of wave operators
نویسندگان
چکیده
منابع مشابه
ON THE Lp BOUNDEDNESS OF WAVE OPERATORS FOR TWO-DIMENSIONAL SCHRÖDINGER OPERATORS WITH THRESHOLD OBSTRUCTIONS
Let H = −∆ + V be a Schrödinger operator on L(R) with real-valued potential V , and let H0 = −∆. If V has sufficient pointwise decay, the wave operators W± = s − limt→±∞ eitHe−itH0 are known to be bounded on L(R) for all 1 < p < ∞ if zero is not an eigenvalue or resonance. We show that if there is an s-wave resonance or an eigenvalue only at zero, then the wave operators are bounded on L(R) for...
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ژورنال
عنوان ژورنال: Reviews in Mathematical Physics
سال: 2019
ISSN: 0129-055X,1793-6659
DOI: 10.1142/s0129055x19500120