On the Schrödinger Equation for Time-Dependent Hamiltonians with a Constant Form Domain
Aitor Balmaseda,
Davide Lonigro,
Juan Manuel Pérez-Pardo
Abstract:We study two seminal approaches, developed by B. Simon and J. Kisyński, to the well-posedness of the Schrödinger equation with a timedependent Hamiltonian. In both cases the Hamiltonian is assumed to be semibounded from below and to have constant form domain but a possibly non-constant operator domain. The problem is addressed in the abstract setting, without assuming any specific functional expression for the Hamiltonian. The connection between the two approaches is the relation between sesquilinear forms and… Show more
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