Meticulous Description Of The Spectra Of Off-Diagonal Infinite-Dimensional Hamiltonian Operators

In this thesis,the spectrum of off-diagonal infinite-dimensional Hamiltonian operator is studied.The four types of point spectrum and two types of residual spectrum of the product operators BC and CB are used to give the meticulous description of the point spectrum and the residual spectrum of off-diagonal infinite-dimensional Hamiltonian operator.