On the direct determination of constrained pure state one-electron density matrices: Part I. A new theoretical model for closed-shell systems

A new method based on the penalty-function way of satisfying equality constraints is proposed for the determination of constrained pure state one-electron density matrices for closed-shell many-electron systems. The algorithm suggested can handle many constraints simultaneously. Certain interesting features of the proposed algorithm are discussed with numerical examples.     

Schrödinger uncertainty relation for a quantum oscillator in a thermostat

We introduce the Schrödinger correlator as the holistic characteristic of two types of fluctuation correlations in quantum dynamics and in statistical thermodynamics. We are the first to derive it using methods of thermofield dynamics for the coordinate-momentum variables of a quantum oscillator in a thermostat. We show that the obtained value ensures that the Schrödinger uncertainty relation becomes an equality at all temperatures. We find that the thermal equilibrium for the quantum oscillator has the sense of the thermal correlated coherent state and can be adequately described by a wave function with temperature-dependent amplitude and phase.     

Solution of the generalized conjugacy problem for words in pure subgroups of Artin groups of finite type

The notion of pure subgroup of an Artin group of finite type is introduced. The decidability of the generalized conjugacy problem for pure subgroups of Artin groups of finite type is proved.     

用等效用原理对马氏链市场的UL生存合约定价

利用效用无差异原理,根据动态规划原则,最大化财富的期望指数效用,在马氏链驱动的市场下,导出HJB方程,给出unit-linked(UL)生存合约在简单Poisson市场下的保费方程,并给出它的数值模拟．这个结果推广了Brown运动驱动的市场下的保费方程,使得UL生存合约在联接到纯跳的市场时,可以用效用无差异原理定价．     

On stochastic games with additive reward and transition structure

In this paper, we introduce a new class of two-person stochastic games with nice properties. For games in this class, the payoffs as well as the transitions in each state consist of a part which depends only on the action of the first player and a part dependent only on the action of the second player.For the zero-sum games in this class, we prove that the orderfield property holds in the infinite-horizon case and that there exist optimal pure stationary strategies for the discounted as well as the undiscounted payoff criterion. For both criteria also, finite algorithms are given to solve the game. An example shows that, for nonzero sum games in this class, there are not necessarily pure stationary equilibria. But, if such a game possesses a stationary equilibrium point, then there also exists a stationary equilibrium point which uses in each state at most two pure actions for each player.     

The Dvoretzky-Wald-Wolfowitz theorem and purification in atomless finite-action games

In 1951, Dvoretzky, Wald and Wolfowitz (henceforth DWW) showed that corresponding to any mixed strategy into a finite action space, there exists a pure-strategy with an identical integral with respect to a finite set of atomless measures. DWW used their theorem for purification: the elimination of randomness in statistical decision procedures and in zero-sum two-person games. In this short essay, we apply a consequence of their theorem to a finite-action setting of finite games with incomplete and private information, as well as to that of large games. In addition to simplified proofs and conceptual clarifications, the unification of results offered here re-emphasizes the close connection between statistical decision theory and the theory of games.A first draft of this paper was completed when Khan and Rath were visiting the Institute for Mathematical Sciences at the National University of Singapore in August 2003; they thank the Institute for supporting their visit. A preliminary version was presented at the Midwest Economic Theory Conference held at Indiana University, Bloomington in October 2003; the authors are grateful to Eric Balder, Robert Becker, William Thomson and Myrna Wooders for questions and helpful suggestions.     

老化产生的深能级对GaP纯绿发光二极管发光效率的影响

测量了GaP纯绿发光二极管老化前后的可见和近红外发光光谱,研究了老化产生的深能级的来源及其对二极管发光效率的影响.在老化后的发光光谱中观测到650nm和1260nm发光带,发现1260nm发光带的发光强度随老化时间的增加而增强.实验结果表明老化产生的与磷相关的深能级严重地影响了GaP纯绿LED的发光效率.     

Directed random walks in random environments

We use holding time methods to study the asymptotic behavior of pure birth processes with random transition rates. Both the normal and slow approaches to infinity are studied. Fluctuations are shown to obey the central limit theorem for almost all sample-transition rates. Our results are stronger, and our proofs simpler, then those of recently published studies.     

Aminoalkohole, 2. Mitt.: Ein Verfahren zur Herstellung enantiomerenreiner pharmakologisch aktiver β-Aminoalkohole

Zusammenfassung Die Reduktion enantiomerenreiner O-MBF- bzw. O-MBE-geschützter Cyanhydrine mit LiAlH₄ führt unter Einhaltung definierter Reaktionsbedingungen zu den entsprechenden geschützten Aminoalkoholen, in denen der Anteil der durch Epimerisierung gebildeten Nebenprodukte kleiner als 3% ist. Die Abtrennung der unerwünschten Diastereomere erfolgt im Zuge der Reinigung der Produkte. Durch Schutzgruppenabspaltung mit Salzsäure/Methanol können die enantiomerenreinen Aminoalkohole erhalten werden. Die meist sehr guten Trennfaktoren der O-MBF- bzw. O-MBE-geschützten Verbindungen erlauben für viele Verbindungen sowohl im Cyanhydrin- als auch im Aminoalkoholstadium eine präparative Trennung und machen das Verfahren deshalb vielseitig verwendbar.

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Aminoalcohols II: Preparation of enantiomerically pure pharmacologically active -aminoalcohols

Summary A synthesis of -aminoalcohols is described starting from racemic or enantiomerically pure -hydroxynitriles which were O-protected using enantiomerically pure acetal type protective groups. Reduction with lithium aluminium hydride yielded O-protected -aminoalcohols. Whenever diastereomeric O-protected cyanohydrins could not be separated, the mixture was reduced and the resulting O-protected aminoalcohols were separated. Removal of the protective group using hydrogen chloride and methanol yielded enantiomerically pure -aminoalcohols or their corresponding hydrochlorides.

Herrn Prof. Dr.F. Eiden zum 70. Geburtstag gewidmet     

Characterization and analysis of amino acids in orange juice by HPLC-MS/MS for authenticity assessment

Twenty protein α-amino acids have been used to detect adulterations in orange juices from Spanish oranges. An analytical method based on the use of normal-phase liquid chromatography coupled to mass spectrometry has been performed for detection and quantification of these compounds in this complex matrix. MS and MS/MS parameters were optimized and most abundant product ion of each amino acid were selected to be monitorized. Method performance is improved with the use of an Allure Acidix column in which mobile phase composition and flux were optimized. Good separation was achieved using water/acetonitrile (20:80) and water/methanol (10:90) at pH 3, with elution gradient. The method has been used to assess the presence of amino acids in different kinds of orange juice: packing orange juice from both frozen concentrates and recently squeezed oranges, and fresh sweet orange juice hand-squeezed in the laboratory just before the analysis. The differences in composition between the juices and the potential adulteration practices have been evaluated and discussed.