2 citations · 4 across the 7 of their papers we have counts for
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Hamilton--Jacobi theory for non-conservative field theories in the -contact framework
Javier de Lucas, Julia Lange, Xavier Rivas +1
This article develops a Hamilton--Jacobi theory for non-conservative classical field theories, with particular emphasis on dissipative systems, in the framework of co-oriented k-co…
A symplectic approach to Schrödinger equations in the infinite-dimensional unbounded setting
Javier de Lucas, Julia Lange, Xavier Rivas
By using the theory of analytic vectors and manifolds modelled on normed spaces, we provide a rigorous symplectic differential geometric approach to -dependent Schrödinger equat…
An energy-momentum method for ordinary differential equations with an underlying -polysymplectic manifold
Leonardo Colombo, Javier de Lucas, Xavier Rivas +1
This work presents a comprehensive review of the -polysymplectic Marsden-Weinstein reduction theory, rectifying prior errors and inaccuracies in the literature while introducing…