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Ground states and spectrum of quantum electrodynamics of non-relativistic particles

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Please use this identifier to cite or link to this item:http://doi.org/10.14943/83552

Title: Ground states and spectrum of quantum electrodynamics of non-relativistic particles
Authors: Hiroshima, F. Browse this author
Issue Date: 1-Apr-1998
Journal Title: Hokkaido University Preprint Series in Mathematics
Volume: 406
Start Page: 1
End Page: 58
Abstract: A 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.
Type: bulletin (article)
URI: http://hdl.handle.net/2115/69156
Appears in Collections:理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics

Submitter: 数学紀要登録作業用

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