@article{ZNSL_2012_398_a1,
author = {N. M. Bogoliubov and P. P. Kulish},
title = {Exactly solvable models of quantum nonlinear optics},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {26--54},
year = {2012},
volume = {398},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2012_398_a1/}
}
N. M. Bogoliubov; P. P. Kulish. Exactly solvable models of quantum nonlinear optics. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 22, Tome 398 (2012), pp. 26-54. http://geodesic.mathdoc.fr/item/ZNSL_2012_398_a1/
[1] L. D. Faddeev, L. A. Takhtadzhyan, Usp. Mat. Nauk, 34:5 (1979), 13 | MR
[2] E. K. Sklyanin, L. A. Takhtadzhyan, L. D. Faddeev, Teor. Mat. Fiz., 40:2 (1979), 194 | MR
[3] L. D. Faddeev, “Quantum completely integrable models of field theory”, Sov. Sci. Rev. Math. C, 1 (1980), 107–160
[4] P. P. Kulish, E. K. Sklyanin, “Quantum spectral transform method. Recent developments”, Lect Notes Phys., 151, 1982, 61–119 | DOI | MR | Zbl
[5] V. E. Korepin, N. M. Bogoliubov, A. G. Izergin, Quantum inverse scattering method and correlation functions, Cambridge Univ. Press, Cambridge, 1993 | MR | Zbl
[6] E. T. Jaynes, F. W. Cummings, Proc. IEEE, 51 (1963), 89 | DOI
[7] I. Rabi, Phys. Rev., 49 (1936), 324 | DOI | Zbl
[8] D. Braak, Phys. Rev., 107 (2011), 100401
[9] M. Tavis, F. W. Cummings, Phys. Rev., 170 (1968), 379 | DOI
[10] M. Goden, Volnovaya funktsiya Bete, Mir, Moskva, 1987 | MR
[11] R. W. Richardson, J. Math. Phys., 9 (1968), 1327 | DOI
[12] L. Amico, A. Di Lorenzo, A. Osterloh, Nucl. Phys. B, 614 (2001), 449 | DOI | MR | Zbl
[13] M. Chaichian, D. Ellinas, P. P. Kulish, Phys. Rev. Lett., 65 (1990), 980 | DOI | MR | Zbl
[14] P. P. Kulish, E. V. Damaskinsky, J. Phys. A, 23 (1990), L415 | DOI | MR | Zbl
[15] O. Babelon, D. Talalaev, J. Stat. Mech., 2007 (2007), P06013 | DOI | MR
[16] M. O. Skalli, M. S. Zubairi, Kvantovaya optika, Fizmatlit, Moskva, 2003
[17] R. H. Dicke, Phys. Rev., 93 (1954), 99 | DOI | Zbl
[18] V. N. Popov, V. S. Yarunin, Collective Effects in Quantum Statistics of Radiation and Matter, Kluwer, Dordrecht, 1988
[19] N. M. Bogoliubov, R. K. Bullough, J. Timonen, J. Phys. A, 29 (1996), 6305 | DOI | MR | Zbl
[20] V. I. Rupasov, V. I. Yudson, ZhETF, 86 (1984), 819 | MR
[21] E. Lieb, W. Liniger, Phys. Rev., 130 (1963), 1605 | DOI | MR | Zbl
[22] V. Ketterle, UFN, 173:12 (2003), 1339 | DOI
[23] N. N. Bogolyubov, Izv. AN SSSR, 11 (1947), 77 | MR
[24] J. Dukelsky, P. Schuck, Phys. Rev. Lett., 86 (2001), 4206
[25] S. E. Pollack et al., Phys. Rev. Lett., 102 (2009), 090402 | DOI
[26] E. Haller et al., Science, 325 (2009), 1224 | DOI
[27] P. P. Kulish, Lett. Math. Phys., 5 (1981), 191 | DOI | MR | Zbl
[28] V. S. Gerdjikov, M. Ivanov, P. P. Kulish, J. Math. Phys., 25 (1984), 25 | DOI | MR | Zbl
[29] N. M. Bogoliubov, R. K. Bullough, G. D. Pang, Phys. Rev. B, 47 (1993), 11495 | DOI
[30] N. M. Bogoliubov, R. K. Bullough, J. Timonen, Phys. Rev. Lett., 72 (1994), 3933 | DOI | MR | Zbl
[31] N. M. Bogoliubov, A. G. Izergin, N. A. Kitanine, Nucl. Phys. B, 516 (1998), 501 | DOI | MR | Zbl
[32] N. Bogoliubov, J. Timonen, Philosophical Transactions A, 369 (2011), 1319 | DOI | MR | Zbl
[33] N. M. Bogoliubov, A. V. Rybin, J. Timonen, J. Phys. A, 27 (1994), L363 | DOI | MR | Zbl
[34] I. Makdonald, Simmetricheskie funktsii i mnogochleny Kholla, Mir, Moskva, 1985 | MR