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Separation of variables for the generalized Henon-Heiles system and system with quartic potential
Separation of variables generalized Henon-Heiles system system quartic potential
2011/3/2
We consider two well-known integrable systems on the plane using the concept of natural Poisson
bivectors on Riemaninan manifolds. Geometric approach to construction of variables of separation and se...
A generalized virial theorem and the balance of kinetic and potential energies in the semiclassical limit
Virial theorem semiclassical limit classically forbidden region
2010/12/1
We obtain two-sided bounds on kinetic and potential energies of a bound state of a quantum particle in the semiclassical limit, as the Planck constant ~ ! 0. Proofs of these results rely on the genera...