A theorem on essential self-adjointness with application to Hamiltonians in nonrelativistic quantum field theory

DOI10.1063/1.529178zbMath0753.47004OpenAlexW2024206038MaRDI QIDQ3987334

Asao Arai

Publication date: 28 June 1992

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.529178

zbMATH Keywords

essential selfadjointness of operators in infinite direct sums of Hilbert spacesHamiltonians in nonrelativistic quantum field theory

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Linear symmetric and selfadjoint operators (unbounded) (47B25) Axiomatic quantum field theory; operator algebras (81T05)

Related Items (5)

Pauli-Fierz type operators with singular electromagnetic potentials on general domains ⋮ Spin-boson type models analyzed using symmetries ⋮ The first order expansion of a ground state energy of the ϕ4 model with cutoffs ⋮ Existence of a ground state for the Nelson model with a singular perturbation ⋮ Self-adjointness criterion for operators in Fock spaces

Cites Work

• Spectral analysis of a quantum harmonic oscillator coupled to infinitely many scalar bosons
• An asymptotic analysis and its application to the nonrelativistic limit of the Pauli–Fierz and a spin-boson model
• Self-adjointness and spectrum of Hamiltonians in nonrelativistic quantum electrodynamics
• On a model of a harmonic oscillator coupled to a quantized, massless, scalar field. I
• On a model of a harmonic oscillator coupled to a quantized massless, scalar field. II
• Rigorous theory of spectra and radiation for a model in quantum electrodynamics

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