LEADER 03836nam 22007815 450 001 9910139818303321 005 20200630235554.0 010 $a3-540-37045-5 024 7 $a10.1007/3-540-37045-5 035 $a(CKB)1000000000777899 035 $a(SSID)ssj0000324645 035 $a(PQKBManifestationID)11246403 035 $a(PQKBTitleCode)TC0000324645 035 $a(PQKBWorkID)10314785 035 $a(PQKB)10148177 035 $a(DE-He213)978-3-540-37045-1 035 $a(MiAaPQ)EBC3072712 035 $a(PPN)155212486 035 $a(EXLCZ)991000000000777899 100 $a20121227d2003 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 14$aThe Mathematical Aspects of Quantum Maps /$fedited by Mirko Esposti, Sandro Graffi 205 $a1st ed. 2003. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2003. 215 $a1 online resource (XI, 171 p.) 225 1 $aLecture Notes in Physics,$x0075-8450 ;$v618 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-02623-1 327 $ato Dynamical Systems -- Number Theoretic Background -- Mathematical Aspects of Quantum Maps -- Numerical Aspects of Eigenvalue and Eigenfunction Computations for Chaotic Quantum Systems -- From Normal to Anomalous Deterministic Diffusion. 330 $aQuantum maps are presented with special emphasis on their physical origin. They represent a testing ground for understanding concepts in quantized chaotic systems. The book develops and teaches the modern mathematical methods from analytic and algebraic number theory as applied to quantum maps. It gives a broad and in-depth overview of the mathematical problems arising in this area. Also treated are the numerical aspects in quantum chaos such as eigenvalue and eigenfunctions computations for chaotic quantum systems. The book addresses scientists and advanced students in mathematics and mathematical physics. 410 0$aLecture Notes in Physics,$x0075-8450 ;$v618 606 $aQuantum theory 606 $aAlgebra 606 $aComputer science$xMathematics 606 $aMathematical physics 606 $aPhysics 606 $aStatistical physics 606 $aDynamics 606 $aQuantum Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19080 606 $aAlgebra$3https://scigraph.springernature.com/ontologies/product-market-codes/M11000 606 $aComputational Mathematics and Numerical Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M1400X 606 $aTheoretical, Mathematical and Computational Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19005 606 $aMathematical Methods in Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19013 606 $aComplex Systems$3https://scigraph.springernature.com/ontologies/product-market-codes/P33000 615 0$aQuantum theory. 615 0$aAlgebra. 615 0$aComputer science$xMathematics. 615 0$aMathematical physics. 615 0$aPhysics. 615 0$aStatistical physics. 615 0$aDynamics. 615 14$aQuantum Physics. 615 24$aAlgebra. 615 24$aComputational Mathematics and Numerical Analysis. 615 24$aTheoretical, Mathematical and Computational Physics. 615 24$aMathematical Methods in Physics. 615 24$aComplex Systems. 676 $a530.12 702 $aEsposti$b Mirko$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aGraffi$b Sandro$4edt$4http://id.loc.gov/vocabulary/relators/edt 906 $aBOOK 912 $a9910139818303321 996 $aMathematical aspects of quantum maps$9376645 997 $aUNINA