Hermitian symplectic geometry and extension theory

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dc.creatorHarmer, M.
dc.date2007-03-08
dc.date.accessioned2026-07-07T07:50:50Z
dc.date.available2026-07-07T07:50:50Z
dc.descriptionHere we give brief account of hermitian symplectic spaces, showing that they are intimately connected to symmetric as well as self-adjoint extensions of a symmetric operator. Furthermore we find an explicit parameterisation of the Lagrange Grassmannian in terms of the unitary matrices $\U (n)$. This allows us to explicitly describe all self-adjoint boundary conditions for the Schroedinger operator on the graph in terms of a unitary matrix. We show that the asymptotics of the scattering matrix can be simply expressed in terms of this unitary matrix.
dc.identifierhttps://arxiv.org/abs/math-ph/0703027
dc.identifierhttp://arxiv.org/abs/math-ph/0703027
dc.identifierJournal of Physics A, 33 (2000), 9193--9203
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/125301
dc.subjectMathematical Physics
dc.subject47A20
dc.titleHermitian symplectic geometry and extension theory
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