On the block basis property of the off-diagonal Hamiltonian operators and its application to symplectic elasticity
Inner Mongolia Vocational College of Chemical Engineering, 010070, Hohhot, China
2 School of Mathematical Sciences, Inner Mongolia University, 010021, Hohhot, China
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Accepted: 25 September 2016
Published online: 19 October 2016
In this paper, the authors obtain a sufficient and necessary condition for the generalized eigenfunction system of an off-diagonal Hamiltonian operator to be a block Schauder basis on some Hilbert space, which offers a mathematical foundation of solving elasticity problem by the symplectic elasticity approach. Furthermore, we apply the new theorem to the rectangular thin plates and show that the symplectic elasticity approach is appropriate for solving this kind of problems.
© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg, 2016