Asymptotic completeness in nonrelativistic quantum field theory

DOI10.1016/S0034-4877(97)85895-8zbMath0905.47008OpenAlexW2007069894MaRDI QIDQ1387118

Jan Dereziński

Publication date: 10 January 1999

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(97)85895-8

zbMATH Keywords

asymptotic completenessphononsfree bosons\(N\)-body scattering\(N\)-body Schrödinger operatorsGalilean-covariantmathematical scattering theorynonrelativistic quantum field theory modelsPauli-Fierz Hamiltonian modelraditionstandard model of nonrelativistic matter

Mathematics Subject Classification ID

Model quantum field theories (81T10) Applications of operator theory in the physical sciences (47N50) (n)-body potential quantum scattering theory (81U10) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Scattering theory of linear operators (47A40)

Cites Work

• Asymptotic completeness for N-body short-range quantum systems: A new proof
• The N-particle scattering problem: asymptotic completeness for short- range systems
• Asymptotic completeness of long-range \(N\)-body quantum systems
• Radiation conditions and scattering theory for \(N\)-particle Hamiltonians
• Long-range scattering in the position representation
• RADIATIVE DECAY: NONPERTURBATIVE APPROACHES
• ASYMPTOTIC COMPLETENESS FOR THE SPIN-BOSON MODEL WITH A PARTICLE NUMBER CUTOFF
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