1,721,172 research outputs found

    Liu, YF

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    Connection between the closeness of classical orbits and the factorization of the radial Schrodinger equation

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    It is shown that the Runge-Lenz vector of a hydrogen atom is equivalent to the raising and lowering operators derived from the factorization of the radial Schrodinger equation. A similar situation exists for an isotropic harmonic oscillator. It is seen that there exists an intimate relation between the conserved quantities responsible for the closeness of classical orbits on the one side and the quantum-mechanical raising and lowering operators on the other side, which is physically connected with the dynamical symmetry of the system considered. Some discussions are made about the factorization of a one-dimensional system. [S1050-2947(98)06308-2].http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000075386200016&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701OpticsPhysics, Atomic, Molecular & ChemicalSCI(E)5ARTICLE2862-8685

    Angular momentum and energy structure of the coherent state of a 2D isotropic harmonic oscillator

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    The angular momentum structure and energy structure of the coherent state of a 2D isotropic harmonic oscillator were investigated. Calculations showed that the average values of angular momentum and energy (except the aero-point energy) of this nonspreading 2D wavepacket are identical to those of the corresponding classical oscillator moving along a circular or an elliptic orbit.Physics, MultidisciplinarySCI(E)中国科学引文数据库(CSCD)0ARTICLE3487-4903

    Numerical investigation of free oblique detonation wave induced by non-intrusive energy deposition

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    To validate the concept of free oblique detonation waves (ODWs) induced by non-intrusive energy deposition applied in ODW engines (ODWEs), numerical simulations are performed by modeling the laser spark as a high-temperature and high-pressure zone embedding in the high-speed incoming flow and by solving the non-dimensional reactive Euler equations with one-step chemistry. The initiation process, flow structures, and self-adapted characteristics of such kinds of free ODWs in an open space are discussed with varying dimensionless source energy and inflow Mach number. The results show that free ODWs can be initiated successfully by local non-intrusive energy deposition. In particular, four ignition regimes, namely, the subcritical regime, the critical I regime, the critical II regime, and the supercritical regime, which are analogous to the one-dimensional direct initiation of detonation, are distinguished by varying the dimensionless source energy. However, the typical energy required by each ignition regime is higher than that in the one-dimensional case due to multi-dimensional energy transmission and instabilities. Moreover, the dimensionless source energy should be moderate to obtain a stable free ODW flow field because extremely low source energy leads to ignition failure, while extremely high source energy causes premature ignition. When the inflow Mach number varies, it is found that free ODWs can adjust automatically to a nearly Chapman-Jouguet state, indicating the self-sustaining nature of free detonation waves. Due to this feature, ODWE performance will be relatively stable despite the change in inflow Mach numbers if free ODWs are utilized in the combustor.</p

    Going Beyond Counting First Authors in Author Co-citation Analysis

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    The present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed

    Variations on the Author

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    “Variations on the Author” discusses two of Eduardo Coutinho’s recent films (Um Dia na Vida, from 2010, and Últimas Conversas, posthumously released in 2015) and their contribution to the general question of documentary authorship. The director’s filmography is characterized by a consistent yet self-effacing form of authorial self-inscription: Coutinho often features as an interviewer that rather than express opinions propels discourses; an interviewer that is good at listening. This mode of self-inscription characterizes him as an author who is not expressive but who is nonetheless markedly present on the screen. In Um Dia na Vida, however, Coutinho is completely absent form the image, while Últimas Conversas, on the contrary, includes a confessional prologue that moves the director from the margins to the center of his films. This article examines the ways in which these works stand out in the filmography of a director who offers new insights into the notion of cinematic authorship

    Factorization of the radial Schrodinger equation and four kinds of raising and lowering operators of hydrogen atoms and isotropic harmonic oscillators

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    It was shown that only for the Coulomb potential and isotropic harmonic oscillator the radial Schrodinger equation can be factorized, Directly from the factorization, two kinds of raising and lowering operators for the isotropic harmonic oscillator, but only one for the hydrogen atom, can be derived. Four kinds of raising and lowering operators connecting the nearest neighboring eigenstates were investigated. (C) 1997 Published by Elsevier Science B.V.http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:A1997XJ51000002&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701Physics, MultidisciplinarySCI(E)26ARTICLE1-29-2223
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