Inverse problem equations for the quantum three wave system
Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 6, Tome 150 (1986), pp. 53-69
P. P. Kulish; F. A. Smirnov. Inverse problem equations for the quantum three wave system. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 6, Tome 150 (1986), pp. 53-69. http://geodesic.mathdoc.fr/item/ZNSL_1986_150_a6/
@article{ZNSL_1986_150_a6,
     author = {P. P. Kulish and F. A. Smirnov},
     title = {Inverse problem equations for the quantum three wave system},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {53--69},
     year = {1986},
     volume = {150},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1986_150_a6/}
}
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Analytic properties of the operator-valued Jost solutions to the auxiliary linear problem of the quantum three wave system are studied. Creation and annihilation operators of elementary excitations and their bound states are constructed. The local fields may be reconstructed from these operators using singular integral equations of the inverse problem.