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A New Kind of k-Quantum Nonlinear Coherent States: Their Generation and PhysicalMeaning
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作者 WANGJi-Suo LIUTang-Kun +2 位作者 FENGJian SUNJin-Zuo ZHANMing-Sheng 《Communications in Theoretical Physics》 SCIE CAS CSCD 2004年第6期935-940,共6页
A new kind of k-quantum nonlinear coherent states,i.e.,the k eigenstates of the k-th power~k (k≥3) of the generalized annihilation operator=1/f() of f-oscillators,are obtained and their properties are discussed.The c... A new kind of k-quantum nonlinear coherent states,i.e.,the k eigenstates of the k-th power~k (k≥3) of the generalized annihilation operator=1/f() of f-oscillators,are obtained and their properties are discussed.The completeness of the k states is investigated.An alternative method to construct them is proposed.It is shown that these states may form a complete Hilbert space,and all of them can be generated by a linear superposition of k Roy-type nonlinear coherent states.Physically,they can be generated by a linear superposition of the time-dependent Roy-type nonlinear coherent states at different instants. 展开更多
关键词 orthonormalized eigenstate k-quantum nonlinear coherent states COMPLETENESS physical meaning
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Discussion of Muskingum method parameter X 被引量:3
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作者 Rui Xiaofang Liu Fanggui Yu Mei 《Water Science and Engineering》 EI CAS 2008年第3期16-23,共8页
The parameter X of the Muskingum method is a physical parameter that reflects the flood peak attenuation and hydrograph shape flattening of a diffusion wave in motion. In this paper, the historic process that hydrolog... The parameter X of the Muskingum method is a physical parameter that reflects the flood peak attenuation and hydrograph shape flattening of a diffusion wave in motion. In this paper, the historic process that hydrologists have undergone to find a physical explanation of this parameter is briefly discussed. Based on the fact that the Muskingum method is the second-order accuracy difference solution to the diffusion wave equation, its numerical stability condition is analyzed, and a conclusion is drawn: X ≤ 0.5 is the uniform condition satisfying the demands for its physical meaning and numerical stability. It is also pointed out that the methods that regard the sum of squares of differences between the calculated and observed discharges or stages as the objective function and the routing coefficients C0, C1 and C2 of the Muskingum method as the optimization parameters cannot guarantee the physical meaning of X. 展开更多
关键词 Muskingum method parameter X physical meaning numerical analysis stability condition parameter calibration
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Similarities and Differences Between Freundlich Kinetic Equation and Two-Constant Equation 被引量:3
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作者 ZHANGZENGQIANG ZHANGYIPING 《Pedosphere》 SCIE CAS CSCD 1999年第3期213-218,共6页
A mathematical expression of Freundlich kinetic equation, 1nS=A'+B'1nt, is presented, and the physical meanings of its parameters are indicated. Although the Freundlich kinetic equation and the two-constant eq... A mathematical expression of Freundlich kinetic equation, 1nS=A'+B'1nt, is presented, and the physical meanings of its parameters are indicated. Although the Freundlich kinetic equation and the two-constant equation are the same in the form, the derivation of the Freundlich kinetic equation is precise, while the deriVation of the two-constant equation has some contradictions and is unreasonable. And it is suggested that the Freundlich kinetic equation should have priority over the two-constant equation to be used. 展开更多
关键词 Freundlich kinetic equation PARAMETERS physical meaning two-constant equation
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