Chaotic wave functions and exponential convergence of low-lying energy eigenvalues

Details Chaotic wave functions and exponential convergence of low-lying energy eigenvalues Chaotic wave functions and exponential convergence of low-lying energy eigenvalues

1998-06-04

arxiv.org/abs/nucl-th/9806015v1

Phys.Rev.Lett. 82 (1999) 2064-2067

Physics

Nuclear Physics

Nuclear Theory

4 figures

Scientific paper

10.1103/PhysRevLett.82.2064

We suggest that low-lying eigenvalues of realistic quantum many-body hamiltonians, given, as in the nuclear shell model, by large matrices, can be calculated, instead of the full diagonalization, by the diagonalization of small truncated matrices with the exponential extrapolation of the results. We show numerical data confirming this conjecture. We argue that the exponential convergence in an appropriate basis may be a generic feature of complicated ("chaotic") systems where the wave functions are localized in this basis.

Affiliated with

Also associated with

No associations

Rating

Chaotic wave functions and exponential convergence of low-lying energy eigenvalues 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 Chaotic wave functions and exponential convergence of low-lying energy eigenvalues, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Chaotic wave functions and exponential convergence of low-lying energy eigenvalues will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-589938