Geodesic
Quantum inverse problem method. I
Teoretičeskaâ i matematičeskaâ fizika, Tome 40 (1979) no. 2, pp. 194-220 Cet article a éte moissonné depuis la source Math-Net.Ru

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A quantum-mechanical variant of the inverse problem method is proposed. For the quantum sine-Gordon model, an exact solution and quantum analogs of action-angle variables are obtained. The connection between the proposed method and Bethe's formulation is discussed, and also renormalization problems. 
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E. K. Sklyanin; L. A. Takhtadzhyan; L. D. Faddeev. Quantum inverse problem method. I. Teoretičeskaâ i matematičeskaâ fizika, Tome 40 (1979) no. 2, pp. 194-220. http://geodesic.mathdoc.fr/item/TMF_1979_40_2_a3/

[1] C. Gardner, J. Greene, M. Kruskal, R. Miura, Phys. Rev. Lett., 19 (1967), 1095 | DOI

[2] V. E. Zakharov, L. D. Faddeev, Funkts. analiz i ego pril., 5 (1971), 18 | MR | Zbl

[3] L. A. Takhtadzhyan, L. D. Faddeev, TMF, 21 (1974), 160

[4] V. E. Zakharov, A. B. Shabat, Funkts. analiz i ego pril., 8 (1974), 43 | MR | Zbl

[5] L. D. Faddeev, “Obratnaya zadacha kvantovoi teorii rasseyaniya, II”, Itogi nauki i tekhniki. Sovremennye problemy matematiki, 3, VINITI, 1974, 93 | MR

[6] V. E. Zakharov, L. A. Takhtadzhyan, L. D. Faddeev, DAN SSSR, 219 (1974), 1334 | Zbl

[7] M. J. Ablowitz, D. J. Kaup, A. C. Newell, H. Segur, Phys. Rev. Lett., 30 (1973), 1262 | DOI | MR

[8] V. E. Korepin, L. D. Faddeev, TMF, 25 (1975), 143 | MR

[9] R. F. Dashen, B. Hasslacher, A. Neveu, Phys. Rev., D11 (1975), 3424 | MR

[10] E. K. Sklyanin, L. D. Faddeev, DAN SSSR, 243 (1978), 1430

[11] E. K. Sklyanin, DAN SSSR, 244 (1979), 1337 | MR

[12] H. Bethe, Z. Physik, 71 (1931), 205 | DOI | Zbl

[13] C. N. Yang, C. P. Yang, Phys. Rev., 150 (1966), 321 | DOI

[14] H. Bergknoff, H. B. Thacker, Phys. Rev. Lett., 42 (1979), 135 | DOI

[15] V. E. Korepin, TMF (to appear)

[16] A. B. Zamolodchikov, Pisma ZhETF, 25 (1977), 499

[17] R. J. Baxter, Ann. Phys., 70 (1972), 193 | DOI | MR | Zbl

[18] A. Luther, Phys. Rev., B14 (1976), 2153 | DOI

[19] J. D. Johnson, S. Krinsky, B. M. McCoy, Phys. Rev., A8 (1973), 2526 | DOI

[20] S. Coleman, Phys. Rev., D11 (1975), 2088