Geometric mechanics is a branch of mathematics applying particular geometric methods to many areas of mechanics, from mechanics of particles and rigid...

In classical and quantum mechanics, geometric phase is a phase difference acquired over the course of a cycle, when a system is subjected to cyclic adiabatic...

understood as geometric objects since Klein's Erlangen programme. Geometric group theory studies group actions on objects that are regarded as geometric (significantly...

most accurate being general relativity and relativistic statistical mechanics. Geometric optics is an approximation to the quantum theory of light, and does...

(quantum mechanics) Quantum Hamilton's equations Quantum field theory Hamiltonian optics De Donder–Weyl theory Geometric mechanics Routhian mechanics Nambu...

well as three monographs, on linear algebra, on relativity and on geometric mechanics. He supervised 9 PhD students. "Décès de Jean-Marie Souriau" (in...

principle. Darryl's main activities have been based on his use of geometric mechanics to derive and analyse nonlinear evolution equations for multiscale...

a Romanian-American mathematician who has made contributions to geometric mechanics and dynamical systems theory. Rațiu was born in Timișoara. His father...

symplectic geometry known as the Floer homology. Contact geometry Geometric mechanics Moment map Poisson geometry Symplectic duality Symplectic integration...

In physics, Lagrangian mechanics is a formulation of classical mechanics founded on the d'Alembert principle of virtual work. It was introduced by the...

geometric algebra (also known as a Clifford algebra) is an algebra that can represent and manipulate geometrical objects such as vectors. Geometric algebra...

geometry, differential equations, classical mechanics, differential-geometric approach to hydrodynamics, geometric analysis and singularity theory, including...

In mathematical physics, geometric quantization is a mathematical approach to defining a quantum theory corresponding to a given classical theory. It...

In physics, mechanics is the study of objects, their interaction, and motion; classical mechanics is mechanics limited to non-relativistic and non-quantum...

celestial mechanics. Prior to Kepler, there was little connection between exact, quantitative prediction of planetary positions, using geometrical or numerical...

French mathematician and physicist. Poinsot was the inventor of geometrical mechanics, showing how a system of forces acting on a rigid body could be...

1088/0305-4470/26/22/010. Blender, R.; Badin, G. (2015). "Hydrodynamic Nambu mechanics derived by geometric constraints". J. Phys. A. 48 (10): 105501. arXiv:1510.04832...

In mathematics, a geometric series is a series summing the terms of an infinite geometric sequence, in which the ratio of consecutive terms is constant...

structural analysis. Structural mechanics analysis needs input data such as structural loads, the structure's geometric representation and support conditions...

the early days of ancient Greek mathematics. For instance, an infinite geometric sum is implicit in Zeno's paradox of the dichotomy. (Strictly speaking...

rigidity Classical Mechanics (Goldstein) Differential rotation Euler's equations (rigid body dynamics) Euler's laws Geometric Mechanics Rigid body dynamics...

Hamilton–Jacobi equation approach to mechanics. The orthogonality of mechanical trajectories characteristic of geometrical optics to the optical wavefronts...

In mechanics, strain is defined as relative deformation, compared to a reference position configuration. Different equivalent choices may be made for...

electrodynamics, thermodynamics, geometric optics, and quantum mechanics. It also has a chapter on the mechanics of fields and continua. At the end...

optics, there is a more conceptual proof in the style of modern geometric mechanics, which proceeds as follows: Construct the 4-dimensional symplectic...

applications to mechanics. With his colleague Paulette Libermann (1919-2007) he published in 1987 a research-level book on symplectic geometry and geometric mechanics...

differential equations. Probability theory was used in statistical mechanics. Geometric intuition played a strong role in the first two and, accordingly...

equivalent phase space formulation of conventional quantum mechanics. In mathematical physics, geometric quantization is a mathematical approach to defining...

of classical mechanics, equivalent to other formulations such as Newton's laws of motion, Lagrangian mechanics and Hamiltonian mechanics. The Hamilton–Jacobi...

In geometric mechanics a presymplectic form is a closed differential 2-form of constant rank on a manifold. However, some authors use different definitions...