Spectrum of the monodromy operator of the schrödinger operator with a potential which is periodic with respect to time
Spectrum of the monodromy operator of the schrödinger operator with a potential which is periodic with respect to time
复制标题
具有相对于时间呈周期性势的薛定谔算子的单峰算子的谱
DOI：
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发表时间：
1983
期刊：
影响因子：
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通讯作者：
E. Korotyaev
中科院分区：
文献类型：
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作者：
E. Korotyaev
我们考虑薛定谔算子的单值算子的谱<$（t）=− Δ +x（x，t），其势是关于时间的周期性。证明了在一定条件下势不存在奇异连续谱，并研究了单值算子的点谱。在势q（x，t）上的某些条件下，关于时间的周期性，我们证明了对应于薛定谔算子− Δ+q，（x，t）的单值算子不存在奇异连续谱。
One considers the spectrum of the monodromy operator of the Schrödinger operator ℏ (t) =− Δ +x (x, t) with a potential which is periodic with respect to time. It is shown that under certain conditions on the potential there is no singular continuous spectrum and one investigates the point spectrum of the monodromy operator. Under certain conditions on the potentialq(x, t), periodic with respect to time, one shows the absence of the singular continuous spectrum for the monodromy operator corresponding to the Schrödinger operator − Δ+q,(x,t).