A symplectic approach to Schrödinger equations in the infinite-dimensional unbounded setting
Javier de Lucas,
Julia Lange,
Xavier Rivas
Abstract:<p>By using the theory of analytic vectors and manifolds modeled on normed spaces, we provide a rigorous symplectic differential geometric approach to $ t $-dependent Schrödinger equations on separable (possibly infinite-dimensional) Hilbert spaces determined by families of unbounded self-adjoint Hamiltonians admitting a common domain of analytic vectors. This allows one to cope with the lack of smoothness of structures appearing in quantum mechanical problems while using differential geometric technique… Show more
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