Ground States of Quantum Field Models (eBook, PDF)
Fumio Hiroshima
eBook, PDF

Ground States of Quantum Field Models (eBook, PDF)

Perturbation of Embedded Eigenvalues

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This book provides self-contained proofs of the existence of ground states of several interaction models in quantum field theory. Interaction models discussed here include the spin-boson model, the Nelson model with and without an ultraviolet cutoff, and the Pauli-Fierz model with and without dipole approximation in non-relativistic quantum electrodynamics. These models describe interactions between bose fields and quantum mechanical matters.A ground state is defined as the eigenvector associated with the bottom of the spectrum of a self-adjoint operator describing the Hamiltonian of a model. ...

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