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 unperturbed states.doi:10.1007/BF0132...
. . . 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)...
Full size table We end this section with two notes. First, in this paper, the term “an evolutionary (or indel) process” means a series of successive mutation (or indel) events with both the order and the specific timing specified, and the term “an evolutionary (or indel) history” me...
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 Google Scholar Diekmann, ...
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...
5) is a combination of thermal and quantum relaxation: the size of ΔT is strongly dependent on the order in the perturbation theory necessary to connect the states contributing to |± φ〉. In general, Sx, yn are combinations of S+, −n, connecting | S, mz〉 with | S, mz ± n...
Consider a time-dependent spatial domain Ω=Ω(t)⊂Rd with boundary Γ=Γint∪Γext composed of a time-dependent interior Γint=Γint(t) and exterior part Γext. The outward unit normal to the boundary Γ is defined as n. Let us now consider a velocity field u and introduce the nor...
We demonstrate a crucial role of fractional occupation numbers (FONs) of natural orbitals (NOs) in the description of double excitations in time-dependent NO functional theory (TDNOFT). An analytical dependence of the double excitation energy ωon the ratio of the FONs is derived in a model ...
A surprising feature of such an approach is the possibility of exploiting the fact that H is strictly decreasing and goes to zero, therefore, it can be promoted to a time-dependent perturbation parameter; controlling the magnitude of the error between solutions of full and time- averaged ...
[150]. This can be achieved for homogeneous metrics where the Hubble parameterHplays the role of a time dependent perturbation parameter which controls the magnitude of the error between the solutions of the full and the time-averaged problems wheneverHis monotonic and sign invariant,His positive ...