Chebyshev expansion for impurity models using matrix product states
نویسندگان
چکیده
Martin Ganahl,1,* Patrik Thunström,2 Frank Verstraete,3,4 Karsten Held,2 and Hans Gerd Evertz1 1Institut für Theoretische Physik, Technische Universität Graz, 8010, Graz, Austria 2Institute of Solid State Physics, Vienna University of Technology, 1040, Vienna, Austria 3Faculty of Physics, University of Vienna, Boltzmanngasse 5, 1090, Vienna, Austria 4Department of Physics and Astronomy, Ghent University, Ghent, Belgium (Received 30 April 2014; revised manuscript received 15 July 2014; published 30 July 2014)
منابع مشابه
A new method based on fourth kind Chebyshev wavelets to a fractional-order model of HIV infection of CD4+T cells
This paper deals with the application of fourth kind Chebyshev wavelets (FKCW) in solving numerically a model of HIV infection of CD4+T cells involving Caputo fractional derivative. The present problem is a system of nonlinear fractional differential equations. The goal is to approximate the solution in the form of FKCW truncated series. To do this, an operational matrix of fractional integrati...
متن کاملEfficient Spectral Sparse Grid Methods and Applications to High-Dimensional Elliptic Equations II. Unbounded Domains
This is the second part in a series of papers on using spectral sparse grid methods for solving higher-dimensional PDEs. We extend the basic idea in the first part [18] for solving PDEs in bounded higher-dimensional domains to unbounded higher-dimensional domains, and apply the new method to solve the electronic Schrödinger equation. By using modified mapped Chebyshev functions as basis functio...
متن کاملNumerical solution of Bagley-Torvik equation using Chebyshev wavelet operational matrix of fractional derivative
In this paper Chebyshev wavelet and their properties are employed for deriving Chebyshev wavelet operational matrix of fractional derivatives and a general procedure for forming this matrix is introduced. Then Chebyshev wavelet expansion along with this operational matrix are used for numerical solution of Bagley-Torvik boundary value problems. The error analysis and convergence properties of t...
متن کاملNUMERICAL SOLUTION OF INTEGRO-DIFFERENTIAL EQUATION BY USING CHEBYSHEV WAVELET OPERATIONAL MATRIX OF INTEGRATION
In this paper, we propose a method to approximate the solution of a linear Fredholm integro-differential equation by using the Chebyshev wavelet of the first kind as basis. For this purpose, we introduce the first Chebyshev operational matrix of integration. Chebyshev wavelet approximating method is then utilized to reduce the integro-differential equation to a system of algebraic equations. Il...
متن کاملThermal expansion and impurity effects on lattice thermal conductivity of solid argon.
Thermal expansion and impurity effects on the lattice thermal conductivity of solid argon have been investigated with equilibrium molecular dynamics simulation. Thermal conductivity is simulated over the temperature range of 20-80 K. Thermal expansion effects, which strongly reduce thermal conductivity, are incorporated into the simulations using experimentally measured lattice constants of sol...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2014