Classical and quantum mechanics of jointed rigid bodies with vanishing total angular momentum

DOI10.1063/1.532871zbMath0960.70008OpenAlexW2063014207MaRDI QIDQ4701861

Toshihiro Iwai

Publication date: 21 November 1999

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.532871

zbMATH Keywords

maximum principleconfiguration spacekinetic energyquantizationsymmetry groupnatural connectioncontrol problemprincipal fiber bundlevibrational energyoptimal Hamiltonian systemmodel of moleculetwo jointed cylinders

Mathematics Subject Classification ID

Hamilton's equations (70H05) Control of mechanical systems (70Q05) Groups and algebras in quantum theory (81R99) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Dynamics of a rigid body and of multibody systems (70E99)

Related Items (6)

The reduction of a quantum system of three identical particles on a plane ⋮ Reduction of quantum systems with symmetry, continuous and discrete ⋮ The falling cat as a port-controlled Hamiltonian system ⋮ Reduction of quantum systems on Riemannian manifolds with symmetry and application to molecular mechanics ⋮ Twisting Somersault ⋮ Geometric mechanics of many-body systems

Cites Work

• A gauge theory for the quantum planar three-body problem
• A geometric setting for the quantum planar n-body system, and a U(n−1) basis for the internal states
• Yang–Mills field equations for the Coriolis tensor in the n-body problem
• The mechanics and control for multi-particle systems

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