152 citations · 734 across the 74 of their papers we have counts for
12 papers · 1 filter
Lie Bi-Algebras on the Non-Commutative Torus
Giovanni Landi, S. G. Rajeev
Infinitesimal symmetries of a classical mechanical system are usually described by a Lie algebra acting on the phase space, preserving the Poisson brackets. We propose that a quant…
An Infinitesimal Quantum Group Underlies Classical Fluid Mechanics
S. G. Rajeev
Arnold showed that the Euler equations of an ideal fluid describe geodesics in the Lie algebra of incompressible vector fields. We will show that helicity induces a splitting of th…
Curvature in Hamiltonian Mechanics And The Einstein-Maxwell-Dilaton Action
S. G. Rajeev
Riemannian geometry is a particular case of Hamiltonian mechanics: the orbits of the hamiltonian are the geodesics. Given a symplectic manifold (Γ,ω…
Continuity of Scalar Fields With Logarithmic Correlations
S. G. Rajeev, Evan Ranken
We apply select ideas from the modern theory of stochastic processes in order to study the continuity/roughness of scalar quantum fields. A scalar field with logarithmic correlatio…
A Hierarchical Finite Element Method for Quantum Field Theory
Arnab Kar, Fred Moolekamp, S. G. Rajeev
We study a model of scalar quantum field theory in which space-time is a discrete set of points obtained by repeatedly subdividing a triangle into three triangles at the centroid.…
The Geometry of Non-Ideal Fluids
S. G. Rajeev
Arnold showed that the Euler equations of an ideal fluid describe geodesics on the Lie algebra of incompressible vector fields. We generalize this to fluids with dissipation and Ga…