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Field name	Details
Dewey Class	519
Title	Quantum Chaos and Mesoscopic Systems ([EBook] :) : Mathematical Methods in the Quantum Signatures of Chaos / / by Norman E. Hurt.
Author	Hurt, Norman E.
Other name(s)	SpringerLink (Online service)
Publication	Dordrecht : : Springer Netherlands : : Imprint: Springer, , 1997.
Physical Details	XVI, 336 p. : online resource.
Series	Mathematics and its applications ; 397
ISBN	9789401587921
Summary Note	4. 2 Variance of Quantum Matrix Elements. 125 4. 3 Berry's Trick and the Hyperbolic Case 126 4. 4 Nonhyperbolic Case . . . . . . . 128 4. 5 Random Matrix Theory . . . . . 128 4. 6 Baker's Map and Other Systems 129 4. 7 Appendix: Baker's Map . . . . . 129 5 Error Terms 133 5. 1 Introduction. . . . . . . . . . . . . . . . . . . . . . . 133 5. 2 The Riemann Zeta Function in Periodic Orbit Theory 135 5. 3 Form Factor for Primes . . . . . . . . . . . . . . . . . 137 5. 4 Error Terms in Periodic Orbit Theory: Co-compact Case. 138 5. 5 Binary Quadratic Forms as a Model . . . . . . . . . . . . 139 6 Co-Finite Model for Quantum Chaology 141 6. 1 Introduction. . . . . . . . 141 6. 2 Co-finite Models . . . . . 141 6. 3 Geodesic Triangle Spaces 144 6. 4 L-Functions. . . . . . . . 145 6. 5 Zelditch's Prime Geodesic Theorem. 146 6. 6 Zelditch's Pseudo Differential Operators 147 6. 7 Weyl's Law Generalized 148 6. 8 Equidistribution Theory . . . . . . . . . 150 7 Landau Levels and L-Functions 153 7. 1 Introduction. . . . . . . . . . . . . . . . . . . . . . . 153 7. 2 Landau Model: Mechanics on the Plane and Sphere. 153 7. 3 Landau Model: Mechanics on the Half-Plane 155 7. 4 Selberg's Spectral Theorem . . . . . . . . . . . 157 7. 5 Pseudo Billiards . . . . . . . . . . . . . . . . . 158 7. 6 Landau Levels on a Compact Riemann Surface 159 7. 7 Automorphic Forms . . . . . 160 7. 8 Maass-Selberg Trace Formula 162 7. 9 Degeneracy by Selberg. . . . 163 7. 10 Hecke Operators . . . . . . . 163 7. 11 Selberg Trace Formula for Hecke Operators 167 7. 12 Eigenvalue Statistics on X . . . . 169 7. 13 Mesoscopic Devices. . . . . . . . 170 7. 14 Hall Conductance on Leaky Tori 170 7.:
Contents note	1 Signatures of Quantum Chaos -- 2 Billiards: Polygonal and Others -- 3 Quantum Transition Amplitudes -- 4 Variance of Quantum Matrix Elements -- 5 Error Terms -- 6 Co-Finite Model for Quantum Chaology -- 7 Landau Levels and L-Functions -- 8 Wigner Time Delay -- 9 Scattering Theory for Leaky Tori -- 10 Dissolving Bound States -- 11 Dissolving Eigenvalues -- 12 Half-Integral Forms -- 13 Isometric and Isospectral Manifolds -- 14 Mesoscopic Structures -- 15 References.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-94-015-8792-1
Links to Related Works	Subject References: Applications of Mathematics . Applied mathematics . Condensed matter . Condensed Matter Physics . Engineering mathematics . Global Analysis and Analysis on Manifolds . Global analysis (Mathematics) . Manifolds (Mathematics) . Mathematics . Number Theory . Quantum Physics . Authors: Hurt, Norman E. . Corporate Authors: SpringerLink (Online service) . Series: Mathematics and its applications . Classification: 519 .

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Quantum Chaos and Mesoscopic Systems: Mathematical Methods in the Quantum Signatures of Chaos /

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