@article{AIHPC_1986__3_4_285_0, author = {Gutkin, Eug\`ene}, title = {Quantum nonlinear Schr\"odinger equation. I. Intertwining operators}, journal = {Annales de l'I.H.P. Analyse non lin\'eaire}, volume = {3}, year = {1986}, pages = {285-314}, mrnumber = {853384}, zbl = {0614.35086}, language = {en}, url = {http://dml.mathdoc.fr/item/AIHPC_1986__3_4_285_0} }
Gutkin, Eugène. Quantum nonlinear Schrödinger equation. I. Intertwining operators. Annales de l'I.H.P. Analyse non linéaire, Tome 3 (1986) pp. 285-314. http://gdmltest.u-ga.fr/item/AIHPC_1986__3_4_285_0/
[1] Method of second quantization, Moscow, 1965. | MR 202392 | Zbl 0131.44805
,[2] Second quantization of the nonlinear Schrödinger equation, J. Phys. A., t. 14, 1981, p. 2631-2644. | MR 629319 | Zbl 0498.35032
,[3] Integrable systems with delta-potential, Duke Math. J., t. 49, 1982, p. 1-21. | MR 650365 | Zbl 0517.35026
,[4] Conservation laws for the nonlinear Schrödinger equation, Ann. Sci. de l'Inst. H. Poincaré, Anal. n. lin., t. 2-1, 1985, p. 67-74. | Numdam | MR 781592 | Zbl 0585.35080
,[5] Propagation of chaos and the Hopf-Cole transformation, Adv. Appl. Math., 1985, n° 4. | MR 826591 | Zbl 0606.35041
,[6] Propagation of chaos and the Burgers equation, SIAM J. Appl. Math., t. 43, 1983, p. 971-980. | MR 709749 | Zbl 0554.35104
and ,[7] Quantum nonlinear Schrödinger equation. II. Explicit solution, preprint. | MR 933972 | Zbl 0692.35089
,[8] Exact analysis of an interacting Bose gas. I. The general solution and the ground state, Phys. Rev., t. 130, 1963, p. 1605-1616. | MR 156630 | Zbl 0138.23001
and ,[9] Formulas and theorems for the special functions of mathematical physics, Springer 1966. | MR 232968 | Zbl 0143.08502
, and ,[10] The Hamiltonian of the quantized nonlinear Schrödinger equation, Ph. D. Thesis, UCLA, 1979.
,[11] Methods of modern mathematical physics, II and III. Academic press, 1979. | MR 751959
and ,[12] The quantum inverse method and Green's functions for completely integrable field theories, in Integrable Quantum Field Theories, LN in Physics, t. 151, Springer 1981.
,[13] Some exact results for the many-body problem in one dimension with repulsive delta-function interaction, Phys. Rev. Lett., t. 19, 1967, p. 1312-1314. | MR 261870 | Zbl 0152.46301
,[14] Exact theory of two-dimensional self-focusing and one-dimensional self-modulation of waves in nonlinear media, Soviet Phys. JETP, t. 34, 1972, p. 62-69. | MR 406174
and ,[15] Quantum spectral transform method. Recent developments, in Integrable Quantum Field Theories, LN in Physics, t. 151, Springer 1981. | MR 671263 | Zbl 0734.35071
and ,[16] Quantum completely integrable models in field theory, Soviet Sci. Rev. C, t. 1, 1980, p. 107-156. | Zbl 0569.35064
,[17] On the complete integrability of a nonlinear Schrödinger equation, Theor. Math. Phys., t. 19, 1975, p. 551-559. | Zbl 0298.35016
and ,