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Titlebook: Quantum Chaos and Mesoscopic Systems; Mathematical Methods Norman E. Hurt Book 1997 Springer Science+Business Media Dordrecht 1997 Signatur

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发表于 2025-3-21 19:23:54 | 显示全部楼层 |阅读模式
书目名称Quantum Chaos and Mesoscopic Systems
副标题Mathematical Methods
编辑Norman E. Hurt
视频video
丛书名称Mathematics and Its Applications
图书封面Titlebook: Quantum Chaos and Mesoscopic Systems; Mathematical Methods Norman E. Hurt Book 1997 Springer Science+Business Media Dordrecht 1997 Signatur
描述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 Theo
出版日期Book 1997
关键词Signatur; manifold; number theory; quantum chaos; scattering theory
版次1
doihttps://doi.org/10.1007/978-94-015-8792-1
isbn_softcover978-90-481-4811-0
isbn_ebook978-94-015-8792-1
copyrightSpringer Science+Business Media Dordrecht 1997
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发表于 2025-3-21 23:13:54 | 显示全部楼层
Variance of Quantum Matrix Elements,round the mean value, < .. >=< (..-.). >, of a quantum mechanical observable have the same order of magnitude as the mean square of the off diagonal terms < |..|. > and they decrease proportional to the inverse of Heisenberg time as the semiclassical limit is taken.
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Scattering Theory for Leaky Tori, resonance set for the Laplacian on the hyperbolic half-cylinder. In Section 9 we briefly review related results on scattering theory for two strictly convex bodies. And in Section 10 we return to the Gutzwiller trace formula and look at including diffraction terms.
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Error Terms,bit theory, as we have outlined earlier. A classical object of study in number theory is the counting function .(.) = ∑. 1; i.e., the staircase function for the number of primes less than or equal to a number .. The prime number theorem states that .(.) is asymptotic to .(.) = .../.; that is ..
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Co-Finite Model for Quantum Chaology,odt and others. More recently, the geodesic triangle spaces, in particular the Artin’s billiards model, have played a basic role in quantum chaology in the work of Aurich, Steiner and co-workers. Avron et al. have also considered the Landau model, that is mesoscopic systems in the presence of a constant magnetic field.
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