On Nelson-Type Hamiltonians and Abstract Boundary Conditions View Full Text


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Article Info

DATE

2019-04

AUTHORS

Jonas Lampart, Julian Schmidt

ABSTRACT

We construct Hamiltonians for systems of nonrelativistic particles linearly coupled to massive scalar bosons using abstract boundary conditions. The construction yields an explicit characterisation of the domain of self-adjointness in terms of boundary conditions that relate sectors with different numbers of bosons. We treat both models in which the Hamiltonian may be defined as a form perturbation of the free operator, such as Fröhlich’s polaron, and renormalisable models, such as the massive Nelson model. More... »

PAGES

1-35

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s00220-019-03294-x

DOI

http://dx.doi.org/10.1007/s00220-019-03294-x

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1112362058


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