Bases of common eigenvectors

  • Thread starter hanch
  • Start date
  • #1
1
0
Given a set of n<d commuting operators, either degenerate or non-degenerate, in a d-dimensional Hilbert space, is there an effective analytical method of finding an orthonormal basis composed of d eigenvectors common to all the operators in the set?
The operators are dxd complex square matrices, and the d-dimensional vectors in the desired orthonormal basis must be eigenvectors of all the operators. I was wondering if there is an efficient way to compute such vectors in a computer algebra system, such as Mathematica.
 
Last edited:

Answers and Replies

  • #2
Landau
Science Advisor
905
0
I don't know, but maybe http://www.math.rwth-aachen.de/mapleAnswers/html/368.html [Broken] helps.
 
Last edited by a moderator:

Related Threads on Bases of common eigenvectors

  • Last Post
Replies
3
Views
4K
  • Last Post
Replies
7
Views
696
  • Last Post
Replies
1
Views
699
  • Last Post
Replies
9
Views
4K
  • Last Post
Replies
5
Views
10K
Replies
3
Views
3K
Replies
1
Views
3K
  • Last Post
Replies
1
Views
2K
  • Last Post
Replies
3
Views
11K
  • Last Post
Replies
1
Views
2K
Top