A Class of New Nonlinear Bogoliubov Transformations
YANG Xiao-Xue1, WU Ying1,2
1State Key Laboratory for Laser Technique and Department of Physics, Huazhong University of Science and Technology, Wuhan 430074
2Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071
A Class of New Nonlinear Bogoliubov Transformations
YANG Xiao-Xue1;WU Ying1,2
1State Key Laboratory for Laser Technique and Department of Physics, Huazhong University of Science and Technology, Wuhan 430074
2Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071
Abstract： We find a class of new nonlinear Bogoliubov transformations and solve the eigenvalue problem of the model Hamiltonian describing the second harmonic generation with intensity-dependent coupling. These transformations differ from the previously known nonlinear quadrature-dependent Bogoliubov transformations.
YANG Xiao-Xue;WU Ying;. A Class of New Nonlinear Bogoliubov Transformations[J]. 中国物理快报, 2002, 19(11): 1625-1627.
YANG Xiao-Xue, WU Ying,. A Class of New Nonlinear Bogoliubov Transformations. Chin. Phys. Lett., 2002, 19(11): 1625-1627.
2002, Vol. 19 
