955 research outputs found

    An Intertwining Property of Weyl Operators (Mathematical aspects of quantum fields and related topics)

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    Initial Value Problem For White Noise Operators And Quantum Stochastic Processes

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    This is the proceedings of the 2nd Japanese-German Symposium on Infinite Dimensional Harmonic Analysis held from September 20th to September 24th 1999 at the Department of Mathematics of Kyoto University.この論文集は, 1999年9月20日から9月24日の日程で京都大学理学研究科数学教室において開催された第2回日独セミナー「無限次元調和解祈」の成果をもとに編集されたものである.編集 : ハーバート・ハイヤー, 平井 武, 尾畑 信明Editors: Herbert Heyer, Takeshi Hirai, Nobuaki Obata #e

    Towards a feasible income equality

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    To reach perfect income equality, factors that determine individual income, such as intelligence, inherited wealth, personalities, and social skills, should be identical for everyone. That is an infeasible ideal. Chae Un Kim and Ji-Won Park propose a more feasible and realistic concept of income equality that could be incorporated in the Gini coefficient, the most widely used measure of inequality, guaranteeing the maximisation of overall social welfare without hampering overall economic efficacy

    Quantum Lévy Laplacian and associated heat equation

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    AbstractAs a non-commutative extension of the Lévy Laplacian for entire functions on a nuclear space, we define the quantum Lévy Laplacian acting on white noise operators. We solve a heat type equation associated with the quantum Lévy Laplacian and study its relation to the classical Lévy heat equation. The solution to the quantum Lévy heat equation is obtained also from a normal-ordered white noise differential equation involving the quadratic quantum white noise

    Characterization of unitary processes with independent increments

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    In this paper, we study unitary Gaussian processes with independent increments with which the unitary equivalence to a Hudson-Parthasarathy evolution system is proved. This gives a generalization of results in [11] and [12] in the absence of the stationarity condition

    Characterization of unitary processes with independent increments

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    In this paper, we study unitary Gaussian processes with independent increments with which the unitary equivalence to a Hudson-Parthasarathy evolution system is proved. This gives a generalization of results in [11] and [12] in the absence of the stationarity condition
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