55 citations · 167 across the 12 of their papers we have counts for
4 papers · 1 filter
The Maxwell-Boltzmann Distribution is not the Equilibrium on a Hyperboloid
S. G. Rajeev
We give a geometric formulation of the Fokker-Planck-Kramer equations for a particle moving on a Lie algebra under the influence of a dissipative and a random force. Special cases…
Geometry of the Motion of Ideal Fluids and Rigid Bodies
S. G. Rajeev
Arnold pointed out that the Euler equation of incompressible ideal hydrodynamics describes geodesics on the group of volume-preserving diffeomorphisms. A simple analogue is the Eul…
Quantization of Contact Manifolds and Thermodynamics
S. G. Rajeev
The physical variables of classical thermodynamics occur in conjugate pairs such as pressure/volume, entropy/temperature, chemical potential/particle number. Nevertheless, and unli…
Multiparticle Schrodinger operators with point interactions in the plane
J. Dimock, S. G. Rajeev
We study a system of N bosons in the plane interacting with delta function potentials. After a coupling constant renormalization we show that the Hamiltonian defines a self-adjoint…