Towards a semiclassical theory of the quantum Baker's map
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Publication:1341003
DOI10.1016/S0167-2789(05)80007-7zbMath0888.58036OpenAlexW4231982698MaRDI QIDQ1341003
Publication date: 21 December 1994
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0167-2789(05)80007-7
Quantum chaos (81Q50) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25)
Related Items (19)
Quantum zeta function for perturbed cat maps ⋮ The quantized D-transformation ⋮ Resonances for open quantum maps and a fractal uncertainty principle ⋮ Quantum variance and ergodicity for the baker's map ⋮ Semiclassical properties and chaos degree for the quantum Baker’s map ⋮ Path integrals and edge corrections for torus maps ⋮ Distribution of resonances for open quantum maps ⋮ Lyapunov decay in quantum irreversibility ⋮ Weyl laws for open quantum maps ⋮ Average localization of resonances on the quantum repeller ⋮ Clustering of periodic orbits and ensembles of truncated unitary matrices ⋮ Unnamed Item ⋮ Chaotic tunneling: A remarkable manifestation of complex classical dynamics in non-integrable quantum phenomena ⋮ Disheveled Arnold's cat and the problem of quantum-classic correspondence ⋮ On a Combined Quantum Baker's Map and Its Characterization by Entropic Chaos Degree ⋮ Periodic orbit quantization of chaotic maps by harmonic inversion ⋮ The Analysis of Eigenstates of a Few Generalized Quantum Baker’s Maps Using Hadamard and Related Transforms ⋮ QUANTUM MAPS WITH SPACE EXTENT: A PARADIGM FOR LATTICE QUANTUM WALKS ⋮ Statistical properties of actions of periodic orbits
Cites Work
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- Classical structures in the quantized Baker transformation
- Some applications of thermodynamic formalism to manifolds with constant negative curvature
- Quantization of linear maps on a torus-Fresnel diffraction by a periodic grating
- The quantized Baker's transformation
- The unusual nature of the quantum Baker's transformation
- Semiclassical dynamics in the strongly chaotic regime: Breaking the log time barrier
- Chaos in classical and quantum mechanics
- Accuracy of semiclassical dynamics in the presence of chaos
- Periodic orbit theory for the quantized Baker's map
- Solution of the Schrödinger equation in terms of classical paths
- Spectral estimates around a critical level
- A rule for quantizing chaos?
- The cat maps: quantum mechanics and classical motion
- Unstable periodic orbits and semiclassical quantisation
- Hamiltonian Systems
- Semiclassical quantization of multidimensional systems
- Evolution of semiclassical quantum states in phase space
- Anatomy of the trace formula for the baker’s map
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