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math-ph2004
On quantum integrability and Hamiltonians with pure point spectrum
A. Enciso, D. Peralta-Salas
We prove that any -dimensional Hamiltonian operator with pure point spectrum is completely integrable via self-adjoint first integrals. Furthermore, we establish that given any…
math-ph2003
Topological and geometrical restrictions, free-boundary problems and self-gravitating fluids
A. Pelayo, D. Peralta-Salas
Let (P1) be certain elliptic free-boundary problem on a Riemannian manifold (M,g). In this paper we study the restrictions on the topology and geometry of the fibres (the level set…