Scattering states and bound states in λ℘(φ)2

Thomas Spencer; Francesco Zirilli

doi:10.1007/bf01608631

journal article Feb 01, 1976

Scattering states and bound states in λ℘(φ)2

Thomas Spencer Francesco Zirilli

Communications in Mathematical Physics Vol. 49 No. 1 pp. 1-16 · Springer Science and Business Media LLC

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References

13

[1]

Glimm, J., Jaffe, A., Spencer, T.: The Wightman axioms and particle structure in the ℘(φ2) quantum field model. Ann. Math.100, 585–632 (1974) 10.2307/1970959

[2]

Glimm, J., Jaffe, A., Spencer, T.: In: Lecture Notes in Physics, Vol. 25. Ed. by G. Velo and A. Wightman. Berlin, Heidelberg, New York: Springer 1973

[3]

Hepp, K.: In Axiomatic Field Theory. Brandeis University Summer Institute in Theoretical Physics 1965, vol. 1

[4]

Osterwalder, K., Sénéor, R.: The scattering matrix is non-trivial for weakly coupled ℘(φ)2 models, to appear

[5]

Eckmann, J.-P., Epstein, H., Frohlich, J.: to appear

[6]

Spencer, T.: The decay of the Bethe-Salpeter kernel in ℘(φ)2 quantum field models, to appear in Commun. math. Phys.

[7]

Bros, J.: Some analyticity properties implied by the two-particle structure of Green's functions in general quantum field theory in Analytic Methods in Mathematical Physics. Ed. by R. Gilbert and R. Newton. New York: Gordon and Breach 1970

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Glimm, J., Jaffe, A.: Two and three body equations in quantum field models, to appear in Commun. math. Phys.

[9]

Dixmier, J.: Les algebres d'opérateurs dans l'espace hilbertien (Algebres de Von Neumann). Paris: Gauthier Villars 1956

[10]

Dunford, N., Schwartz, J.: Linear operators, vol. 1, Lemma 13, pg. 592. New York: Interscience Publishers 1958

[11]

Simon, B.: Quantum mechanics for Hamiltonians defined as quadratic forms. Princeton, N.J.: Princeton University Press 1971

[12]

Glimm, J., Jaffe, A., Spencer, T.: The cluster expansion forP(φ)2 in the two phase region, to appear

[13]

Dimock, J.: to appear

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Published: Feb 01, 1976
Vol/Issue: 49(1)
Pages: 1-16
License: View

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Cite This Article

Thomas Spencer, Francesco Zirilli (1976). Scattering states and bound states in λ℘(φ)2. Communications in Mathematical Physics, 49(1), 1-16. https://doi.org/10.1007/bf01608631

Scattering states and bound states in λ℘(φ)2

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