Self-adjointness of lattice Yang-Mills hamiltonians and Kato's inequality with indefinite metric
Semiclassical electron motion and Novikov's conjecture
Smooth optimal synthesis for infinite horizon variational problems
We study Hamiltonian systems which generate extremal flows of regular variational problems on smooth manifolds and demonstrate that negativity of the generalized curvature of such a system implies the existence of a global smooth optimal synthesis for the infinite horizon problem. We also show that in the Euclidean case negativity of the generalized curvature is a consequence of the convexity of the Lagrangian with respect to the pair of arguments. Finally, we give a generic classification for...
Sur les règles de sélection en spectroscopie moléculaire de vibration et de rotation