Spectral problems with an operator-valued symbol in quantum field theory (Q1385874)

We consider an application of the complex germ theory to quantum field theory. In particular, for models, we obtain an asymptotic spectrum of the Hamilton operator, as well as asymptotic eigenfunctions. For more complicated models, we obtain the spectrum and eigenfunctions of the Hamiltonian with the help of the infinite-dimensional analog of the complex germ method for equations with an operator-valued symbol. The reasonings of this work have a heuristic character.