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About Matrix Calculation The Heisenberg Model
The document describes the Heisenberg model for quantum spins on a 1D lattice. It discusses how the Hamiltonian for the model can be represented as a 2N x 2N matrix H, where N is the number of spins. It provides an example of the matrix for N=4 spins. The key challenges are that physical systems have large N, making the matrices too large to directly diagonalize, and that 2D and 3D lattices have non-integer N which prevents extrapolation to the thermodynamic limit. Iterative methods are proposed to find eigenvalues for large sparse matrices without storing the entire matrix.
Detailed Information
Author: | ['Rajneesh Perhate'] |
---|---|
Publication Year: | 2014 |
Pages: | 22 |
Language: | English |
Format: | |
Price: | FREE |
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