Interacting Bose and Fermi gases in low dimensions and the Riemann hypothesis

Details Interacting Bose and Fermi gases in low dimensions and the Riemann hypothesis Interacting Bose and Fermi gases in low dimensions and the Riemann hypothesis

2006-11-17

arxiv.org/abs/math-ph/0611043v3

Int.J.Mod.Phys.A23:1371-1391,2008

Physics

Mathematical Physics

version 3: additional appendix explains how the $\nu$ to $1-\nu$ duality of Riemann's $\zeta (\nu)$ follows from a special mod

Scientific paper

10.1142/S0217751X08039451

We apply the S-matrix based finite temperature formalism to non-relativistic Bose and Fermi gases in 1+1 and 2+1 dimensions. In the 2+1 dimensional case, the free energy is given in terms of Roger's dilogarithm in a way analagous to the relativistic 1+1 dimensional case. The 1d fermionic case with a quasi-periodic 2-body potential provides a physical framework for understanding the Riemann hypothesis.

Affiliated with

Also associated with

No associations

Rating

Interacting Bose and Fermi gases in low dimensions and the Riemann hypothesis 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 Interacting Bose and Fermi gases in low dimensions and the Riemann hypothesis, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Interacting Bose and Fermi gases in low dimensions and the Riemann hypothesis will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-674308