Completely Entangled State and Simultaneous Eigenstate in a Finite Dimensional Space

It is shown that a completely entangled state belonging to a finite dimensional Hilbert space is equivalent to a simultaneous eigenstate of two unitary operators. These operators are exponentials of sum and difference of two Hermitian operators of a two-mode system that are complementary with each other.     

La0．85Sr0．015MnO3—δ／Fe异质结构的瞬间光电导研究

采用磁控溅射的方法在Si基片上制备了La0.85Sr0.015MnO3-δ/Fe异质结构,对所制备结构中La0.85Sr0.015MnO3-δ薄膜的输运及光诱导特性进行了分析,表明薄膜在整个测量的温度区间内呈现金属一半导体相变,相变温度为130K.在低温金属相,磁场作用导致电阻减小,而高温半导体相则使电阻增大;激光辐照导致样品电阻减小,并产生瞬间光电导效应,即随着激光的关闭电阻瞬间恢复到原值,其相对变化值随着温度的降低而增大,并在温度为80K时达到极大值约1660%,分析认为该瞬态光电导效应可能与薄膜本身的氧缺陷有关.     

Population model with diffusion and supplementary forest resource in a two-patch habitat

A mathematical model is proposed to study the role of supplementary self-renewable resource on species population in a two-patch habitat. It is assumed that the density of forest resource biomass is governed by the logistic equation in both the regions but with the different intrinsic growth rate but the same carrying capacity in the entire habitat. It is further assumed that the densities of species population is also governed by the generalized logistic equations in both the regions but with different growth rates and carrying capacities. It is shown that the steady state solutions are positive, monotonic and continuous under both reservoir and no-flux boundary conditions. The linear and non-linear asymptotic stability conditions of non-uniform steady state are compared with the case of the model with and without diffusion in a homogeneous habitat.     

Squeezing transfer from vibrations to a cavity field in an ion-trap laser

We present a novel way to produce squeezed light in an optical cavity. The main idea is to transfer vibrational squeezing from the motion of a trapped ion to the photons in a cavity. We use the dipolar coupling of the motion of a three-level ion with one cavity mode and two different kind of pumps. The first pump is an oscillating electric field that drives the ion into a vibrational squeezed state. The second pump consists of two lasers resonant with the ionic levels that makes the transfer possible.     

A Supercoherent State and a New Inhomogeneous Differential Realization of the SPL(2,1) Superalgebra

The supercoherent state of the SPL(2,1) superalgebra is constructed and its properties are discussed in detail. The new inhomogeneous differential realizations of the SPL(2,1) superalgebra are obtained.     

ON THE RADIAL GROUND STATE OF P-LAPLACIAN EQUATION WITH GRADIENT TERM PERTURBATION

1IntroductionInthispaper,weconsidertheexistence,uniqueuessandnonexistenceoftheradialgroundstatetothefollowingp-Laplacianequation:whereApu=div(IDttl)Du),n>p22,qissubcriticalexponents,i.e.,qo.Bydefinition,afunctionu(x)issaidtobetheradialgroundstateto(1.1),ifu(x)=u(r)satisfies:1)u(r),Iu'Ip-'U'eC'([o, oo));2)u(r)isthesolutionofthefollowingCauchyproblem:3)u(r)satisfiesIn0urf0rmerpaper[1],westlldiedtheexistenceanduniqueness0fradialgroundstatetoproblem(1-1)inthecasewhereq…     

Spatial light modulation characteristics of reverse saturable absorber

Construction of a spatial light modulator (SLM) using reverse saturable absorber molecules is suggested. The SLM characteristics are derived using a recently proposed steady-state kinetic analysis. Results are presented for the rhodamine 6G dye molecules.     

Photophysics of 9-aminoacridinium hydrochloride

The steady state and time domain spectroscopy of 9-aminoacridinium hydrochloride have been studied. 9-aminoacridine (I), 9-aminoacridinium (II) and the double protonated ion (III) follow Waterman’s principle with respect to their spectra and lifetimes. It is established that the excimer formation in (II) is from the ground state dimers which undergo either thermally-activated radiationless excimer conversion or a geometrical rearrangement in the excited state at room temperature. The quenching of monomer emission by dimers or foreign quenchers (KI) is found to be of transient nature as suggested by the continuum model. The authors felicitate Prof. D S Kothari on his eightieth birthday and dedicate this paper to him on this occasion.     

激光场的空间非均匀性对阈上离化的影响

本文在基本态模型中计及激光场的空间非均匀性,得到了与实验相吻合的结果.     

Thermodynamic quantities around a charged dilaton black hole

We use the brick-wall method to investigate the thermodynamic quantities around a charged dilaton black hole. We show that all the thermodynamic quantities contain two terms: the first term has exactly the same form as in a flat space-time, but the second term depends explicitly on the spin of the fields and therefore cannot be neglected. __________ Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 157, No. 1, pp. 154–160, October, 2008.