Continuum embedded eigenvalues in a spatially cutoff $P(\phi )_{2}$ field theory
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- by Barry Simon
- Proc. Amer. Math. Soc. 35 (1972), 223-226
- DOI: https://doi.org/10.1090/S0002-9939-1972-0297265-9
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Abstract:
We prove the existence of nontrivial two-dimensional spatially cutoff self-coupled Boson field theory Hamiltonians with bound states embedded in the continuum.References
- Barry Simon and Raphael Høegh-Krohn, Hypercontractive semigroups and two dimensional self-coupled Bose fields, J. Functional Analysis 9 (1972), 121–180. MR 0293451, DOI 10.1016/0022-1236(72)90008-0
- Lon Rosen, Renormalization of the Hilbert space in the mass shift model, J. Mathematical Phys. 13 (1972), 918–927. MR 299127, DOI 10.1063/1.1666077 B. Simon, Resonances for dilatation analytic potentials and the foundations of time dependent perturbation theory, Ann. of Math. (to appear). G. M. Zhislin and A. Sigalov, On the spectrum of an energy operator for atoms with fixed nuclei in subspaces corresponding to irreducible representations of permutation groups, Izv. Akad. Nauk SSSR Ser. Mat. 29 (1965), 853-860.
- Erik Balslev, Spectral theory of Schrödinger operators of many-body systems with permutation and rotation symmetries, Ann. Physics 73 (1972), 49–107. MR 332037, DOI 10.1016/0003-4916(72)90314-4 J. Glimm and A. Jaffe, “Field theory models,” in the 1970 Les Houches lectures, C. DeWitt and R. Stora (editors), Gordon and Breach, New York, 1971.
- Irving Segal, Construction of non-linear local quantum processes. I, Ann. of Math. (2) 92 (1970), 462–481. MR 272306, DOI 10.2307/1970628 R. Høegh-Krohn, On the spectrum of the space cut-off: $P(\phi )$: Hamiltonian in two space-time dimensions, Comm. Math. Phys. 18 (1970), 109.
Bibliographic Information
- © Copyright 1972 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 35 (1972), 223-226
- MSC: Primary 81.46
- DOI: https://doi.org/10.1090/S0002-9939-1972-0297265-9
- MathSciNet review: 0297265