thermal rearrangement of 7,7-dichloro-[a,c]-dibenzo-[4,1,0]-bicycloheptane (1) to 5,6-dichloro-5hdibenzo-[a,c]-cycloheptene (2) was studied in the solid phase and in solvents with different polarities. thefirst-order constants at various temperatures for the rearrangement process were evaluated from theabsorption time data. the activation parameters for this rearrangement were obtained from the...

We discuss the energy splitting ∆ǫ of nearly degenerate eigenstates which classically correspond to symmetrically distributed tori in phase space. We find that the naive expectation that the tunneling-induced splitting vanishes faster than any power of h̄ in semi-classical limit actually relies on certain smoothness assumption of the Hamiltonian. The quantum transition between the semi-classical...

the reaction mechanism between (h2c) and (7, 0), zigzag single-walled carbon nanotubes(zswcnts) on two different orientation of c-c have been studied by semi empirical am!method. the activation barriers of (h2c) adding to (7, 0) zswcnt are computed and compared.the effects of diameters of zigzag swcnt on their binding energies were studied

The S = 1/2 antiferromagnetic Heisenberg model on multi-leg ladders is investigated. Criticality of the ground-state transition is explored by means of finite-size scaling. The ladders with an even number of legs and those with an odd number of legs are distinguished clearly. In the former, the energy gap opens up as ∆E ∼ J⊥, where J⊥ is the strength of the antiferromagnetic inter-chain couplin...

A semi-Markov process stays in state x for a time s and then jumps to state y according to a transition distribution Q(x; dy; ds). A statistical model is described by a family of such transition distributions. We give conditions for a nonparametric version of local asymptotic normality as the observation time tends to innnity. Then we introducèempirical' estimators for linear functionals of the...

let $n$ be a submodule of a module $m$ and a minimal primary decomposition of $n$ is known‎. ‎a formula to compute baer's lower nilradical of $n$ is given‎. ‎the relations between classical prime submodules and their nilradicals are investigated‎. ‎some situations in which semiprime submodules can be written as finite intersection of classical prime submodule are stated‎.

This paper continues our study of the verification problem for infinitestate systems featuring both nondeterministic and probabilistic choice. In an earlier paper we defined symbolic probabilistic systems, an extension of the framework of symbolic transition systems due to Henzinger et. al., and considered the problem of deciding the maximal probability of reaching a set of target states. A sym...

Motivated by recent experiments, which demonstrated lasing and cooling of the electromagnetic modes in a resonator coupled to a superconducting qubit, we describe the specific mechanisms creating the population inversion, and we study the spectral properties of these systems in the lasing state. Different levels of the theoretical description, i.e., the semi-classical and the semi-quantum appro...

Modification to the behavior of geometrical density at short scales is a key result of loop quantum cosmology, responsible for an interesting phenomenology in the very early universe. We demonstrate the way matter with arbitrary scale factor dependence in Hamiltonian incorporates this change in its effective dynamics in the loop modified phase. For generic matter, the equation of state starts v...