Stability estimate for the relativistic Schrödinger equation with time-dependent vector 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 کاملMultiresolution scheme for Time-Dependent Schrödinger Equation
Article history: Received 3 November 2009 Accepted 21 November 2009 Available online xxxx
متن کاملGaussian beam methods for the Schrödinger equation with discontinuous potentials
We propose Eulerian and Lagrangian Gaussian beam methods for the Schrödinger equation with discontinuous potentials. At the quantum barriers where the potential is discontinuous, we derive suitable interface conditions to account for quantum scattering information. These scattering interface conditions are then built into the numerical fluxes in the Eulerian level set formulation of the Gaussia...
متن کاملNumerical solution for one-dimensional independent of time Schrödinger Equation
In this paper, one of the numerical solution method of one- particle, one dimensional timeindependentSchrodinger equation are presented that allows one to obtain accurate bound state eigenvalues and functions for an arbitrary potential energy function V(x).For each case, we draw eigen functions versus the related reduced variable for the correspondingenergies. The paper ended with a comparison ...
متن کاملGlobal error control of the time-propagation for the Schrödinger equation with a time-dependent Hamiltonian
We use a posteriori error estimation theory to derive a relation between local and global error in the propagation for the time-dependent Schrödinger equation. Based on this result, we design a class of h,padaptive Magnus–Lanczos propagators capable of controlling the global error of the time-stepping scheme by only solving the equation once. We provide results for models of several different s...
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: Inverse Problems
سال: 2014
ISSN: 0266-5611,1361-6420
DOI: 10.1088/0266-5611/30/10/105005