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4 papers · 2 filters
A geometric approach to integrability of Abel differential equations
José F. Cariñena, Javier de Lucas, Manuel F. Rañada
A geometric approach is used to study the Abel first order differential equation of the first kind. The approach is based on the recently developed theory of quasi-Lie systems whic…
On Classical Dynamics of Affinely-Rigid Bodies Subject to the Kirchhoff-Love Constraints
Vasyl Kovalchuk
In this article we consider the affinely-rigid body moving in the three-dimensional physical space and subject to the Kirchhoff-Love constraints, i.e., while it deforms homogeneous…
Integrability of Lie systems through Riccati equations
José F. Cariñena, Javier de Lucas
Integrability conditions for Lie systems are related to reduction or transformation processes. We here analyse a geometric method to construct integrability conditions for Riccati…
Combinatorial Algebra for second-quantized Quantum Theory
P. Blasiak, G. H. E. Duchamp, A. I. Solomon +2
We describe an algebra G of diagrams which faithfully gives a diagrammatic representation of the structures of both the Heisenberg-Weyl algebra H - the associative algebra of the c…