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.
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© 1983 D. Reidel Publishing Company
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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
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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
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