A special value of the spectral zeta function of the non-commutative harmonic osciallators

Details A special value of the spectral zeta function of the non-commutative harmonic osciallators A special value of the spectral zeta function of the non-commutative harmonic osciallators

2005-07-06

arxiv.org/abs/math/0507111v1

Mathematics

Representation Theory

5 pages, no figures

Scientific paper

The non-commutative harmonic oscillator is a $2\times2$-system of harmonic
oscillators with a non-trivial correlation. We write down explicitly the
special value at $s=2$ of the spectral zeta function of the non-commutative
harmonic oscillator in terms of the complete elliptic integral of the first
kind, which is a special case of a hypergeometric function.

Affiliated with

Also associated with

No associations

Rating

A special value of the spectral zeta function of the non-commutative harmonic osciallators 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 A special value of the spectral zeta function of the non-commutative harmonic osciallators, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A special value of the spectral zeta function of the non-commutative harmonic osciallators will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-611703