Classical and quantum dynamics for an extended free rigid body

DOI10.1016/J.DIFGEO.2010.05.002zbMath1339.70032OpenAlexW2120017345WikidataQ115357080 ScholiaQ115357080MaRDI QIDQ988741

Daisuke Tarama, Toshihiro Iwai

Publication date: 18 August 2010

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2433/126623

zbMATH Keywords

Lie-Poisson structureextended rigid bodyrepresentation of three-dimensional Lie groups

Mathematics Subject Classification ID

Free motion of a rigid body (70E15) Hamilton's equations (70H05) Geometry and quantization, symplectic methods (81S10) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Poisson algebras (17B63) Integrable cases of motion in rigid body dynamics (70E40)

Related Items (6)

Classification of the classical \(\mathrm{SL}(2,\mathbb R)\) gauge transformations in the rigid body ⋮ NEW ASPECTS ON THE GEOMETRY AND DYNAMICS OF QUADRATIC HAMILTONIAN SYSTEMS ON (𝔰𝔬(3))* ⋮ On the extended Euler system and the Jacobi and Weierstrass elliptic functions ⋮ On a class of three-dimensional quadratic Hamiltonian systems ⋮ The Extended Rigid Body and the Pendulum Revisited ⋮ The free rigid body dynamics: Generalized versus classic

Cites Work

• Commutative families of functions related to consistent Poisson brackets
• On the Euler equation: Bi-Hamiltonian structure and integrals in involution
• Quantum Euler-Manakov top on the three-sphere S₃
• Generalized Hamiltonian Dynamics
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