Calculation of time - dependent system reliability for continuous rc bridge during service life 混凝土連續(xù)梁橋使用期的時變體系可靠度計算
Using lewis - riesenfeld theory , we obtain exact solutions of the time - dependent system , then we recover both n - pulse method based on time - evolution operator of the system and stirap method in terms of instantaneous eigenstates with the help of time - dependent gauge transformation 利用含時規(guī)范變換理論得到系統(tǒng)的精確解,我們用時間演化算符同時得到文獻中分別采用-位相法和stirap (受激拉曼散射)方法得到的結(jié)果,因而更具有普遍性。
Using the formulized approach to the su ( 1 , 1 ) h ( 4 ) time - dependent system , which is derived from the combination of the formulation of the time - dependent bogoliubov transformation and the evolution equation of the system , we obtain the time evolution operator , state function and heisenberg uncertainty relation of the parametric oscillator with cavity losses under the weak coupling approximation . we also discuss the squeezing property of the system 本文利用含時波戈留波夫變換與時間演化方程相結(jié)合得到的求解su ( 1 , 1 ) ? h ( 4 )量子系統(tǒng)的時間演化算符和演化態(tài)的普遍公式,我們導(dǎo)出了帶腔損耗的參數(shù)振子在弱耦合近似下的演化算符,態(tài)函數(shù)和不確定乘積,并討論了系統(tǒng)的壓縮特性。
Using the dynamics model , the stability of evolution trajectory and critical value with different initial states , disturbance of environment parameter and disturbance of control decision - making parameters , which can decide the evolution trajectory ultimately in nonlinear time - dependent system , are discussed . according to the simulation results , some conclusion on the evolution trajectory control of complex economic organization of research and development are drawn , which proposes some method for the research of evolution of nonlinear economic system 通過建立動力學(xué)模型,研究了非線性時變系統(tǒng)中決定演化最終軌跡趨向的初始狀態(tài)、環(huán)境參數(shù)的擾動、可控決策參數(shù)擾動等各種情況下的演化軌跡穩(wěn)定性和臨界值問題,通過仿真運算,得出了控制復(fù)雜研發(fā)型經(jīng)濟組織演化軌跡的相關(guān)結(jié)論,為非線性經(jīng)濟系統(tǒng)的演化研究提供了方法。
In chapter 2 , a schrodinger formulation for paraxial light beam propagation of the real and comprehensive refractive indexes is represented . the equation for the atom laser beam wave - function is also given by a schrodinger equation , which is similar to the equation of the time - dependent system . therefore , it is possible to investigate the propagation of an atom laser beam 第二章:本章介紹了傍軸光束在實數(shù)折射率介質(zhì)和復(fù)數(shù)折射率介質(zhì)中傳輸?shù)膕chrdinger形式理論,同時指出由于原子激光的傳輸滿足schrdinger方程,與含時量子系統(tǒng)的傳輸方程類似,故利用含時量子系統(tǒng)的schrdinger形式理論來研究原子激光的傳輸是可行的。