Displaying similar documents to “Some aspects of λ(P0,N)-nuclearity.”

Existence and regularity of the solution of a time dependent Hartree-Fock equation coupled with a classical nuclear dynamics.

Lucie Baudouin (2005)

Revista Matemática Complutense

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We study an Helium atom (composed of one nucleus and two electrons) submitted to a general time dependent electric field, modeled by the Hartree-Fock equation, whose solution is the wave function of the electrons, coupled with the classical Newtonian dynamics, for the position of the nucleus. We prove a result of existence and regularity for the Cauchy problem, where the main ingredients are a preliminary study of the regularity in a nonlinear Schrödinger equation with semi-group techniques...

Concrete subspaces and quotient spaces of locally convex spaces and completing sequences

Süleyman Önal, Tosun Terzioğlu

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CONTENTSIntroduction..................................................................................51. Almost bounded sets and operators........................................62. Eidelheit’s theorem................................................................133. Nuclear Köthe quotients.........................................................204. Nuclear Köthe subspaces and completing sequences...........225. Applications...........................................................................256....