The time-dependent Schrödinger equation with piecewise constant potentials

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

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 کامل

Multiresolution scheme for Time-Dependent Schrödinger Equation

Article history: Received 3 November 2009 Accepted 21 November 2009 Available online xxxx

متن کامل

Mathematical modeling : control of the Time Dependent Schrödinger Equation

81Q05 Synonyms or related entries control of quantum dynamics by electromagnetic radiation; laser control of chemical reactions; control of spin systems; control in Nuclear Magnetic Resonance; construction of logic gates for quantum computers Definition Quantum control is the control, at the quantum level, of the state or dynamical evolution of some quantum system by means of electromagnetic ra...

متن کامل

Solution of the Time-dependent Schrödinger Equation Using Interpolating Wavelets

An adaptive numerical method for solution of the time-dependent Schrödinger equation is presented. By using an interpolating wavelet transform the number of used points can be reduced, constructing an adaptive sparse point representation. Two di erent discretisation approaches are studied in 1D ; one point-based and one based on equidistant blocks. Due to the nature of the wavelet transform a s...

متن کامل

Gaussian 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 کامل

ذخیره 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: European Journal of Applied Mathematics

سال: 2018

ISSN: 0956-7925,1469-4425

DOI: 10.1017/s0956792518000475