The Schrödinger equation with singular time-dependent potentials
نویسندگان
چکیده
منابع مشابه
The Random Schrödinger Equation: Homogenization in Time-Dependent Potentials
We analyze the solutions of the Schrödinger equation with the low frequency initial data and a time-dependent weakly random potential. We prove a homogenization result for the low frequency component of the wave field. We also show that the dynamics generates a non-trivial energy in the high frequencies, which do not homogenize – the high frequency component of the wave field remains random and...
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 کاملStrichartz estimates for the Schrödinger and heat equations perturbed with singular and time dependent potentials
In this paper, we prove Strichartz estimates for the Schrödinger and heat equations perturbed with singular and time dependent potentials.
متن کاملFourth order real space solver for the time-dependent Schrödinger equation with singular Coulomb potential
We present a novel numerical method and algorithm for the solution of the 3D axially symmetric timedependent Schrödinger equation in cylindrical coordinates, involving singular Coulomb potential terms besides a smooth time-dependent potential. We use fourth order finite difference real space discretization, with special formulae for the arising Neumann and Robin boundary conditions along the sy...
متن کاملMultiresolution scheme for Time-Dependent Schrödinger Equation
Article history: Received 3 November 2009 Accepted 21 November 2009 Available online xxxx
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: Discrete and Continuous Dynamical Systems
سال: 2000
ISSN: 1078-0947
DOI: 10.3934/dcds.2000.6.705