Quantum maps are presented with special emphasis on their physical origin. They represent a testing ground for understanding concepts in quantized chaotic systems. The book 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.
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Quantum 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.
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First Sentence:
Isaac Newton had one insight that he considered to be so fundamental that he kept it secret: "It is useful to solve differential equations."1 Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
perturbed cat map, quantum maps, sawtooth maps, normal derivative function, stadium billiard, dynamical zeta functions, quantum propagator, cat maps, circular billiard, quantum billiards, hyperbolic automorphisms, spectral statistics, level spacing distribution, quantum chaos, toral automorphisms, boundary integral method, spurious solutions, nontrivial zeros, critical strip, standard map, numerical aspects, classical observable, geodesic flow, smallest singular value, quantum evolution Key Phrases - Capitalized Phrases (CAPs): (learn more)
Degli Esposti, Andreas Knauf, Anomalous Deterministic Diffusion, Arnd Bäcker, Number Theoretic Background, Roberto Artuso, Zeév Rudnick, Annals of Physics, Henri Poincaré, London Ser, New York, Prime Number Theorem New!
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Isaac Newton had one insight that he considered to be so fundamental that he kept it secret: "It is useful to solve differential equations."1 Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
perturbed cat map, quantum maps, sawtooth maps, normal derivative function, stadium billiard, dynamical zeta functions, quantum propagator, cat maps, circular billiard, quantum billiards, hyperbolic automorphisms, spectral statistics, level spacing distribution, quantum chaos, toral automorphisms, boundary integral method, spurious solutions, nontrivial zeros, critical strip, standard map, numerical aspects, classical observable, geodesic flow, smallest singular value, quantum evolution Key Phrases - Capitalized Phrases (CAPs): (learn more)
Degli Esposti, Andreas Knauf, Anomalous Deterministic Diffusion, Arnd Bäcker, Number Theoretic Background, Roberto Artuso, Zeév Rudnick, Annals of Physics, Henri Poincaré, London Ser, New York, Prime Number Theorem New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Back Cover | Surprise Me!
Citations (learn more)
This book cites 37
books:
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24
books
cite this book:
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- Ergodic Problems of Classical Mechanics (Advanced Book Classics) by V. I. Arnold on page 141
- Riemannian Geometry (De Gruyter Studies in Mathematics) by Wilhelm P. A. Klingenberg on page 23
- Nanostructured Magnetic Materials and their Applications (Lecture Notes in Physics) by Donglu Shi in Back Matter
- Physics of Neutron Star Interiors (Lecture Notes in Physics) by D. Blaschke in Back Matter
- Thermal Nonequilibrium Phenomena in Fluid Mixtures (Lecture Notes in Physics, 584) by W. Köhler in Back Matter
See all 37 books this book cites
- Granular Gas Dynamics (Lecture Notes in Physics) by Thorsten Pöschel in Back Matter
- Quantum State Estimation (Lecture Notes in Physics) by Matteo Paris in Back Matter
- The Theory of Symmetry Actions in Quantum Mechanics: with an application to the Galilei group (Lecture Notes in Physics) by Gianni Cassinelli in Back Matter
- Symmetry Breaking (Lecture Notes in Physics) by Franco Strocchi in Back Matter
- Direct and Inverse Methods in Nonlinear Evolution Equations: Lectures Given at the C.I.M.E. Summer School Held in Cetraro, Italy, September 5-12, 1999 (Lecture Notes in Physics) by Robert M. Conte in Back Matter
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