Wave operator bounds for one-dimensional Schrödinger operators with singular potentials and applications
نویسندگان
چکیده
منابع مشابه
Wave Operator Bounds for 1-dimensional Schrödinger Operators with Singular Potentials and Applications
Boundedness of wave operators for Schrödinger operators in one space dimension for a class of singular potentials, admitting finitely many Dirac delta distributions, is proved. Applications are presented to, for example, dispersive estimates and commutator bounds.
متن کاملSchrödinger Operators with Singular Potentials †
We describe classical and recent results on the spectral theory of Schrödinger and Pauli operators with singular electric and magnetic potentials
متن کاملScattering and Wave Operators for One-dimensional Schrödinger Operators with Slowly Decaying Nonsmooth Potentials
Let us discuss the case where the operator is defined on a half-axis, with some selfadjoint boundary condition at zero. We are interested in potentials decaying at infinity, for which we may expect that asymptotically as time tends to infinity, motion of the associated perturbed quantum system resembles the free evolution. What is the critical rate of decay of the potential for which the dynami...
متن کاملSchrödinger operators with oscillating potentials ∗
Schrödinger operators H with oscillating potentials such as cos x are considered. Such potentials are not relatively compact with respect to the free Hamiltonian. But we show that they do not change the essential spectrum. Moreover we derive upper bounds for negative eigenvalue sums of H.
متن کاملFourier Method for One Dimensional Schrödinger Operators with Singular Periodic Potentials
By using quasi–derivatives, we develop a Fourier method for studying the spectral properties of one dimensional Schrödinger operators with periodic singular potentials.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 2011
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.3525977