perturbation theoryquantum mechanicsschroedinger equationtimetransientsIt is shown that the introduction of the time-dependent perturbation sharply at an instant, is redundant to obtain the usual expression for the transition rates between states, provided the initial state is an incoherent mixture of the...
The time dependent perturbation theory of the gain dynamics of erbium-doped fiber amplifiers (EDFAs) is presented in this paper. The perturbed output is expressed explicitly in terms of the input perturbation. The general theory is then applied to sinusoidal tones; the results agree well with the...
is \rho _{t,I}={1\over 1+{V^2\over \hbar ^2}} \big (|1\rangle \langle 1| + {V\over i\hbar }|1\rangle \langle 2| + + {V\over i\hbar }|2\rangle \langle 1| + |2\rangle \langle 2|\big ) (this can also be seen to agree with time dependent perturbation theory)....
时间带宽积 time-bandwidth product 不含时微扰 time-independent perturbation 时谐光波 time-harmonic light wave 含时薛定谔方程 time-dependent Schro&4&dinger equa- tion time-dependent perturbation 分时激光器 time-sharing laser 飞行时间法 time-of-flight method 时谐波 time-harmonic 电力 时间行程特性 time...
where the coefficients, γr, are strongly dependent upon the frequency of the excitation relative to the natural frequencies of the system (as well as the forcing levels) and may themselves be complex. In particular, it is found that when the frequency of excitation, ωq approaches one of th...
(SID) model”. Using the operator representation of indels and the technique of time-dependent perturbation theory, we express theab initioprobability as a summation over all alignment-consistent indel histories. Exploiting the equivalence relations between different indel histories, we find a “...
We prove existence theorems for strong solutions of time-dependent mean field games with non-separable Hamiltonian. In a recent announcement, we showed existence of small, strong solutions for mean field games with local coupling. We first generalize that prior work to allow for non-separable Hamil...
. . . The time-dependent theory is supposed to compute a characteristic lifetime τ , for the decay of a state . . . It turns out to be a very hard problem to define the lifetime directly. Simon identified a suitable interpretation of the Fermi Golden Rule for Γ in (3) and (4)...
Time-dependent linear transport theory Cite this paper DOIhttps://doi.org/10.1007/BFb0071877 Online ISBN978-3-540-38777-0
Clément, P., Diekmann, O., Gyllenberg, M., Heijmans, H., Thieme, H.: Perturbation theory for dual semigroups II. Time-dependent perturbations in the sun-reflexive case. Proc. Royal Soc. Edinburgh Sect. A 109(1–2), 145–172 (1988) Article MathSciNet MATH Google Scholar Diekman...