2019-10-22T10:55:19Zhttps://eprints.lib.hokudai.ac.jp/dspace-oai/requestoai:eprints.lib.hokudai.ac.jp:2115/691562018-04-25T23:44:06Zhdl_2115_45007hdl_2115_116Ground states and spectrum of quantum electrodynamics of non-relativistic particlesHiroshima, F.410A system consisting of finitely many charged non-relativistic particles bound by some external scalar potential and minimally coupled to a massless quantized radiation field without the dipole approximation is considered. An ultraviolet cut-off on the quantized radiation field is imposed. An interaction Hamiltonian of this system is defined as a self-adjoint. operator in a Hilbert space. The existence of the ground states of the interaction Hamiltonians is established. It is also shown that asymptotic limits of annihilation operators and creation operators exist. Asymptotic creation operators and a ground state of the interaction Hamiltonian provide for a closed subspace in the Hilbert space which reduces the interaction Hamiltonian. It is discovered that the reduced part of the interaction Hamiltonian is equivalent to a well known self-adjoint operator. Hence the absolutely continuous spectrum of the interaction Hamiltonian is specified.Departmental Bulletin Paperapplication/pdfhttp://hdl.handle.net/2115/69156info:doi/10.14943/83552https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/69156/1/pre406.pdfHokkaido University Preprint Series in Mathematics4061581998-04-01engpublisher