Continuum embedded eigenvalues in a spatially cutoff 𝑃(𝜙)₂ field theory

Barry Simon

Type: Article

Publication Date: 1972-01-01

Citations: 2

DOI: https://doi.org/10.1090/s0002-9939-1972-0297265-9

Abstract

We prove the existence of nontrivial two-dimensional spatially cutoff self-coupled Boson field theory Hamiltonians with bound states embedded in the continuum.

Locations

Proceedings of the American Mathematical Society - View - PDF

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Works That Cite This (2)

Action	Title	Year	Authors
+	Spectral and Scattering Theory¶of Spatially Cut-Off P(ϕ)2 Hamiltonians	2000	Jan Dereziński Christian Gérard
+	Absence of positive eigenvalues in a class of multiparticle quantum systems	1974	Barry Simon

Works Cited by This (5)

Action	Title	Year	Authors
+	On the spectrum of the space cut-off :P(ϕ):Hamiltonian in two space-time dimensions	1971	Raphaël Høegh-Krohn
+	Spectral theory of Schrödinger operators of many-body systems with permutation and rotation symmetries	1972	Erik Balslev
+	Hypercontractive semigroups and two dimensional self-coupled Bose fields	1972	Barry Simon Raphaël Høegh-Krohn
+	Renormalization of the Hilbert Space in the Mass Shift Model	1972	Lon Rosen
+	Construction of non-linear local quantum processes. II	1971	I. E. Segal