Symplectic coarse-grained classical and semclassical evolution of subsystems: New theoretical approach
DOI10.1063/5.0011113zbMath1454.81088arXiv2002.06641OpenAlexW3084002182MaRDI QIDQ5141038
Publication date: 17 December 2020
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2002.06641
Hamilton's equations (70H05) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Quantum blobs
- Hagedorn wavepackets in time-frequency and phase space
- Symplectic topology and Hamiltonian dynamics. II
- The symplectic camel and the uncertainty principle: the tip of an iceberg?
- Pseudo holomorphic curves in symplectic manifolds
- Symplectic topology and Hamiltonian dynamics
- Phase space quantization and the uncertainty principle
- The Schur complement and its applications
- Time irreversibility from symplectic non-squeezing
- Irreversibility from staircases in symplectic embeddings
- Gabor frames of Gaussian beams for the Schrödinger equation
- Symplectic geometry and quantum mechanics
- On the local systolic optimality of Zoll contact forms
- Convergence of frozen Gaussian approximation for high-frequency wave propagation
- How do wave packets spread? Time evolution on Ehrenfest time scales
- Paths of Canonical Transformations and their Quantization
- The Wigner Transform
- Distributions of ℏ-positive type and applications
- Quantum harmonic analysis on phase space
- On Density Operators with Gaussian Weyl Symbols
- Symplectic integration of Hamiltonian systems
- Symplectic Geometric Algorithms for Hamiltonian Systems
- Harmonic Analysis in Phase Space. (AM-122)
- Comment on Semiclassical approximations in phase space with coherent states
- Deforming gabor frames by quadratic hamiltonians
- The Semiclassical Way to Dynamics and Spectroscopy
- N.N. Bogolyubov and statistical mechanics
- HOW LARGE IS THE SHADOW OF A SYMPLECTIC BALL?
- A Contact Camel Theorem
- Quantum Harmonic Analysis of the Density Matrix
- Symplectic embedding problems, old and new
- On the Purity and Entropy of Mixed Gaussian States
- Localization of quantum wave packets
- Computing quantum dynamics in the semiclassical regime
