Evgeny L. Korotyaev
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Complete wave operators are constructed for a system of two particles (one of which has infinite mass) in an external, homogeneous, time-periodic magnetic field. Bibliography: 21 titles.
Maths2010 British Mathematical Colloquium and British Applied Mathematics Colloquium Apr 6, 2010- Apr 9, 2010, Edinburgh, UK
We consider Euler-Bernoulli operators with real coefficients on the unit interval. We prove the following results: i) Ambarzumyan type theorem about the inverse problems for the Euler-Bernoulli… Continue Reading
We consider the Schr\"odinger operator $Hy=-y"+(p+q)y$ with a periodic potential $p$ plus a compactly supported potential $q$ on the real line. The spectrum of $H$ consists of an absolutely… Continue Reading
Abstract We consider the Schrödinger operator H on the half-line with a periodic potential p plus a compactly supported potential q. For generic p, its essential spectrum has an infinite sequence of… Continue Reading
The spectral properties of the Schrodinger operator Tty = −y �� + qty in L 2 (R) are studied, with a potential qt(x) = p1(x), x 0, where p1, p are periodic potentials and t ∈ R is a parameter of… Continue Reading
We consider the Dirac operator with a periodic potential on the half-line with the Dirichlet boundary condition at zero. Its spectrum consists of an absolutely continuous part plus at most one… Continue Reading
We consider the periodic Zakharov-Shabat operators on the real line. The spectrum of this operator consists of intervals separated by gaps with the lengths $|g_n|\ge 0, n\in \Z$. Let $\m_n^\pm$ be… Continue Reading
In this paper, a study is made of the properties of the energy E(k) of the Hill operator, as a function of the “global” quasimomentum k, running over the Riemann surface of the quasimomentumK. A… Continue Reading