We consider the dynamics of composite quantum systems in the particular case that the state operator relaxes towards the Born approximation. For this we augment the von Neumann equation by a relaxation operator imposing a finite relaxation time τr . Under the premise that the relaxation is the dominant process we obtain a hierarchy of non-Markovian master equations. The latter arises from an ex...

Excited states of singlet and triplet H2Ti(μ−H)2TiH2 have been calculated using multiconfigurational wave functions. The effects of orbital relaxation are determined by optimizing orbitals for all states separately and comparing to state-averaged calculations, and are found to be small. Dynamic electron correlation included through second-order perturbation theory is found to have a considerabl...

For the first time we introduce the Husimi operator ∆ h (γ, ε; κ) for studying Husimi distribution in phase space (γ, ε) for electron's states in uniform magnetic field, where κ is the Gaussian spatial width parameter. Using the Wigner operator in the entangled state λ| representation we find that ∆ h (γ, ε; κ) is just a pure squeezed coherent state density operator |γ, ε κκ γ, ε| , which bring...

This paper studies the stabilization of the infinite-dimensional linear time-varying system with state delays ẋ = A(t)x + A1(t)x(t− h) + B(t)u . The operator A(t) is assumed to be the generator of a strong evolution operator. In contrast to the previous results, the stabilizability conditions are obtained via solving a Riccati differential equation and do not involve any stability property of t...

OBJECTIVE We show that psychophysiologically driven real-time adaptive aiding significantly enhances performance in a complex aviation task. A further goal was to assess the importance of individual operator capabilities when providing adaptive aiding. BACKGROUND Psychophysiological measures are useful for monitoring cognitive workload in laboratory and real-world settings. They can be record...

This paper studies the stabilization of the infinite-dimensional linear time-varying system with state delays ẋ = A(t)x+A1(t)x(t− h) +B(t)u . The operator A(t) is assumed to be the generator of a strong evolution operator. In contrast to the previous results, the stabilizability conditions are obtained via solving a Riccati differential equation and do not involve any stability property of the ...

We introduce the Stochastic Ambient Logic which extends the Ambient Logic with the probability operator and the steady state operator. The logic is useful for specifying properties of the Stochastic Mobile Ambients [14].

we consider the transitive linear maps on the operator algebra $b(x)$for a separable banach space $x$. we show if a bounded linear map is norm transitive on $b(x)$,then it must be hypercyclic with strong operator topology. also we provide a sot-transitivelinear map without being hypercyclic in the strong operator topology.

Under the smart grid environment, demand response resources (DRRs) are introduced as a virtual power plant to enhance power system adequacy. DRRs often fail to reduce their load due to some external factors. In this paper, a reliability model of a DRR is constructed as multi-state conventional generation units, where the probability, frequency of occurrence, and departure rate of each state can...

We develop a new approach to construct the operator on lattice for the calculation of glueball mass, which is based on the connection between the continuum limit of the chosen operator and the quantum number J of the state studied. The spin of the state studied in this approach is then determined uniquely and directly in numerical simulation. Furthermore, the approach can be applied to calculat...