Research On Exitence And Uniqueness Of Symplectic Self-adjoint Extension Of Infinite Dimensional Hamiltonian Operator

In this paper,the sympletic self-adjoint extension of closed symplectic symmetric operators on Hilbert spaces is studied,the condition of existence and uniqueness of symplectic self extension of closed infinite dimensional Hamilton operators are obtained.Firstly,the background and research status of infinite dimensional Hamiltonian operator are described.Secondly,the closed symplectic symmetric operators H under the condition that w? ker(H*JH*J+ I)isstudied,...