On quantum integrability and Hamiltonians with pure point spectrum

Details On quantum integrability and Hamiltonians with pure point spectrum On quantum integrability and Hamiltonians with pure point spectrum

2004-06-11

arxiv.org/abs/math-ph/0406022v3

An extended and improved version has been published in Theor. Math. Phys. 148 (2006) 1086

Physics

Mathematical Physics

14 pages

Scientific paper

We prove that any $n$-dimensional Hamiltonian operator with pure point spectrum is completely integrable via self-adjoint first integrals. Furthermore, we establish that given any closed set $\Sigma\subset\mathbb R$ there exists an integrable $n$-dimensional Hamiltonian which realizes it as its spectrum. We develop several applications of these results and discuss their implications in the general framework of quantum integrability.

Affiliated with

Also associated with

No associations

Rating

On quantum integrability and Hamiltonians with pure point spectrum does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On quantum integrability and Hamiltonians with pure point spectrum, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On quantum integrability and Hamiltonians with pure point spectrum will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-106578