One family of conformally Hamiltonian systems
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Publication:393958
DOI10.1007/s11232-012-0128-0zbMath1282.81104OpenAlexW2082622295MaRDI QIDQ393958
Publication date: 24 January 2014
Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11232-012-0128-0
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Groups and algebras in quantum theory and relations with integrable systems (81R12)
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Cites Work
- Unnamed Item
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- Integrable Euler top and nonholonomic Chaplygin ball
- Nonholonomic Hamilton-Jacobi theory via Chaplygin Hamiltonization
- Linear almost Poisson structures and Hamilton-Jacobi equation. Applications to nonholonomic mechanics
- Hamiltonization and integrability of the Chaplygin sphere in \(\mathbb R^{n}\)
- Conservation laws, hierarchy of dynamics and explicit integration of nonholonomic systems
- Hamiltonization of the generalized Veselova LR system
- One invariant measure and different Poisson brackets for two non-holonomic systems
- Integrable nonholonomic systems on Lie groups
- Magnetic flows on homogeneous spaces
- Chaplygin systems associated to Cartan decompositions of semi-simple Lie groups
- Integrable one-particle potentials related to the Neumann system and the Jacobi problem of geodesic motion on an ellipsoid.
- Complete involutive algebras of functions on cotangent bundles of homogeneous spaces
- Chaplygin's ball rolling problem is Hamiltonian
- The Stäckel systems and algebraic curves
- INTEGRABLE CASES OF THE DYNAMICS OF A RIGID BODY, AND INTEGRABLE SYSTEMS ON THE SPHERESSn
