Enhanced bindings

Fumio Hiroshima

doi:10.1007/978-981-32-9305-2_6

Enhanced bindings

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Abstract

In this chapter we discuss enhanced bindings for the Pauli–Fierz Hamiltonian with dipole approximation and for the N-body Nelson Hamiltonian. It is shown that an interaction with a quantum field enhances binding and sufficiently strong couplings consequently produce the ground state. It is also shown that the Pauli–Fierz Hamiltonian with dipole approximation with sufficiently weak coupling constants has no ground state if it has no ground state whenever a coupling constant is zero.

Original language	English
Title of host publication	SpringerBriefs in Mathematical Physics
Publisher	Springer
Pages	109-129
Number of pages	21
DOIs	https://doi.org/10.1007/978-981-32-9305-2_6
Publication status	Published - Jan 1 2019

Publication series

Name	SpringerBriefs in Mathematical Physics
Volume	35
ISSN (Print)	2197-1757
ISSN (Electronic)	2197-1765

All Science Journal Classification (ASJC) codes

Mathematical Physics
Physics and Astronomy (miscellaneous)

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10.1007/978-981-32-9305-2_6

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Enhanced bindings

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