Abstract
Gutzwiller (1983) introduced the model of leaky tori to describe mesoscopic systems. In this paper we review certain recent work on the spectral theory of theses models. The basic Gutzwiller leaky tori is given by the noncompact finite volume surface M = Γ\H 2 where H 2 is the hyperbolic 2-space and Γ is a discrete subgroup of PSL(2, R). The spectrum of the Laplacian on M consists of a continuous part filling [1/4, ∞) and a discrete set of eigenvalues of which only finitely many are less than or equal to 1/4.
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© 1997 Springer Science+Business Media Dordrecht
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Hurt, N.E. (1997). Dissolving Eigenvalues. In: Quantum Chaos and Mesoscopic Systems. Mathematics and Its Applications, vol 397. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8792-1_11
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DOI: https://doi.org/10.1007/978-94-015-8792-1_11
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-4811-0
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