Abstract
The formula for the norms of the Bethe wave functions in the form of a Jacobian plays an important role in the computation of the correlation functions. In the present paper this formula is generalized to the case of bound states.
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Literature cited
L. D. Faddeev, “Quantum completely integrable models of field theory,” in: Problems of Quantum Field Theory, JINR, P2-12462, Dubna 249–299 (1979).
V. E. Korepin, “Calculation of norms of Bethe wave functions,” Commun. Math. Phys.,86, 391–418 (1982).
W. Heisenberg, “Zur Theorie des Ferromagnetismus,” Z. Phys.,49, No. 9–10, 619–636 (1928).
A. G. Izergin and V. E. Korepin, “Lattice versions of quantum field theory models in two dimensions,” Nucl. Phys.,B205 [FS5], No. 3, 401–413 (1982).
A. G. Izergin and V. E. Korepin, “The quantum inverse scattering method approach to correlation functions,” Commun. Math. Phys.,94, 67–92 (1984).
V. E. Korepin, “Correction functions of the one-dimensional Bose gas in the repulsive case,” Commun. Math. Phys.,94, 93–113 (1984).
M. Takahashi, “One-dimensional Heisenberg model at finite temperature,” Progress Theor. Phys.,46, No. 2, 401–415 (1971).
Additional information
Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 146, pp. 20–30, 1985.
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Kirillov, A.N., Korepin, V.E. Norms of bound states. J Math Sci 40, 13–21 (1988). https://doi.org/10.1007/BF01084936
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DOI: https://doi.org/10.1007/BF01084936