On wednesday – 12 february – room 3 – SSM, san Marcellino
\n15.30-16.15: prof. K. Grabowska (Univ. Varsavia)
\n“Dirac algebroids in Hamiltonian and Lagrangian dynamics – theory and
\nexamples”<\/p>\n
Dirac algebroid is a linear Dirac structure defined on the dual of a
\nvector bundle. We propose the construction of a Dirac algebroid associated
\nto constraints and use it as a tool for generating the dynamics from
\nLagrangian and Hamiltonian. This tructure is very general.
\nIt allows for all types of generating functions, including these with
\nmagnetic-like terms as well as singular.<\/p>\n
16.15-16.30 break<\/p>\n
16.30-17.15: prof. J. Grabowski (IMPAN – Varsavia)
\n“Tulczyjew triples and quantum dynamics”<\/p>\n
We develop a geometric approach to quantum mechanics based on the concept
\nof the Tulczyjew triple known from classical mechanics. Our approach is
\ngenuinely infinite-dimensional and includes a Lagrangian formalism in which
\nself-adjoint operators are viewed as Lagrangian submanifolds associated with
\nthe Lagrangian.<\/p>\n
<\/p>\n
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