Generation of Matrices with Specified Eigenvalues and their Diagonalization
量子物理
2007-05-23 v1 数学物理
math.MP
摘要
We present a prescription for forming matrices with specified eigenvalues and known eigenvectors. With this method, we can form Hermitian, anti-Hermitian, symmetric and general matrices with arbitrary eigenvalues. In addition we propose an algorithm for diagonalizing such matrices. The functions required for the realization of this are probability amplitudes connecting observables with discrete eigenvalue spectra and can be obtained from spin theory. For the example case of matrices, these functions are given.
引用
@article{arxiv.quant-ph/0506074,
title = {Generation of Matrices with Specified Eigenvalues and their Diagonalization},
author = {Habatwa V. Mweene},
journal= {arXiv preprint arXiv:quant-ph/0506074},
year = {2007}
}
备注
12 pages, LateX