Contribution to the symplectic structure in the quantization rule due to noncommutativity of adiabatic parameters
From MaRDI portal
Publication:327089
DOI10.1134/S1061920816020060zbMath1348.81281MaRDI QIDQ327089
Publication date: 13 October 2016
Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)
Geometry and quantization, symplectic methods (81S10) Deformation quantization, star products (53D55)
Related Items (2)
On the geometry of slow-fast phase spaces and the semiclassical quantization ⋮ On integrable models close to slow-fast Hamiltonian systems
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The connection whose holonomy is the classical adiabatic angles of Hannay and Berry and its generalization to the non-integrable case
- New global asymptotics and anomalies for the problem of quantization of the adiabatic invariant
- Semiclassical diagonalization of quantum Hamiltonian and equations of motion with Berry phase corrections
- The separation of motions in systems with rapidly rotating phase
- On the change in the adiabatic invariant on crossing a separatrix in systems with two degrees of freedom
- The Hannay angles: Geometry, adiabaticity, and an example
- Geometry of the transport equation in multicomponent WKB approximations
- Adiabatic approximation via hodograph translation and zero-curvature equations
- Adiabatics using phase space translations and small parameter ``dynamics
- Mathematical aspects of classical and celestial mechanics. Transl. from the Russian by E. Khukhro.
- On the quadratic convergence of the Aitken Δ2 process
- Reduction, symmetry, and phases in mechanics
- Quantal phase factors accompanying adiabatic changes
- On the biharmonic and harmonic indices of the Hopf map
- Classical adiabatic angles and quantal adiabatic phase
- Classical non-adiabatic angles
- Higher order corrections to adiabatic invariants of generalized slow-fast Hamiltonian systems
- ``Peierls substitution and Chern-Simons quantum mechanics
This page was built for publication: Contribution to the symplectic structure in the quantization rule due to noncommutativity of adiabatic parameters