Abstract
In example 3.34 we studied the classical mechanical system given by geodesic flow on the hyperbolic plane \( = SL\left( {2,R} \right)/SO\left( 2 \right)\). We want to examine the partition function for quantum statistical physics of these spaces. ~ is noncompact, thus we will simplify the situation by studying \(M = T\backslash \) where r is a discrete subgroup of SL(2, R) chosen so that M is compact. This classical example was the original case studied by Maas,Selberg and others. More recently these and related spaces have been studied by Dowker and others in quantum field theory as we shall show in the next chapter.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1983 D. Reidel Publishing Company
About this chapter
Cite this chapter
Hurt, N.E. (1983). Selberg Trace Theory. In: Geometric Quantization in Action. Mathematics and Its Applications, vol 8. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-6963-6_19
Download citation
DOI: https://doi.org/10.1007/978-94-009-6963-6_19
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-009-6965-0
Online ISBN: 978-94-009-6963-6
eBook Packages: Springer Book Archive