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Canonical Transformations, Quantization, Mutually Unbiased and Other Complete bases

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Applied Mathematics 2017年第7期8卷 901-919页

作者： Donald J. Kouri cameron L. Williams Nikhil Pandya Department of Physics University of Houston Houston TX USA Department of Mathematics University of Houston Houston TX USA

Using ideas based on supersymmetric quantum mechanics, we design canonical transformations of the usual position and momentum to create generalized “Cartesian-like” positions, W, and momenta, Pw , with unit Poisson brackets. These are quantized by the usual replacement of the classical , x Px by quantum operators, leading to an infinite family of potential “operator observables”. However, all but one of the resulting operators are not Hermitian (formally self-adjoint) in the original position representation. Using either the chain rule or Dirac quantization, we show that the resulting operators are “quasi-Hermitian” relative to the x-representation and that all are Hermitian in the W-representation. Depending on how one treats the Jacobian of the canonical transformation in the expression for the classical momentum, Pw , quantization yields a) continuous mutually unbiased bases (MUb), b) orthogonal bases (with Dirac delta normalization), c) biorthogonal bases (with Dirac delta normalization), d) new W-harmonic oscillators yielding standard orthonormal bases (as functions of W) and associated coherent states and Wigner distributions. The MUb lead to W-generalized Fourier transform kernels whose eigenvectors are the W-harmonic oscillator eigenstates, with the spectrum (±1,±i) , as well as “W-linear chirps”. As expected, W,?Pw satisfy the uncertainty product relation: ΔWΔPw ≥1/2 , h=1.

关键词： Canonical Transformations Quantization Mutually Unbiased bases Complete bases

Effects of Sustained, Coordinated Activities Programming in Long-Term Care: The Memory in Rhythm® Program

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Advances in Aging Research 2016年第1期5卷 1-8页

作者： Iva De Witt-Hoblit Mary Neal Miller cameron J. Camp miVision LLC West Liberty Ohio USA Center for Applied Research in Dementia Solon Ohio USA

beneficial effects of providing engaging activities to long-term care residents have been well documented. However, it is important to determine the effects of activities when providing throughout the day, especially as they related to outcomes salient to administrators. We describe the creation and pilot testing of a sustained, coordinated activities program, Memory in Rhythm®(MIR), which incorporated Montessori-based Dementia Programming™, in a skilled nursing facility (SNF). Effects of implementing MIR then were examined in memory care units in 16 aged care centers—9 SNFs and 7 assisted living residences in Ohio. For these centers, all data were collected over a period of one year before and one year after implementation of MIR. Results indicate that implementation of MIR was associated with reductions in medication use, increased census, decreased employee turnover, decreased wandering and agitation, and increased sleeping at night, eating and capacity for activities of daily living. In the SNFs, increases in RUGS case mix and use of Medicare Part b (rehabilitation services) were noted, while in assisted living implementation also was related to increased amount of time residents who were able to age in place. Implications of these findings are discussed.

关键词： Dementia Engagement Medication Reduction Agitation Wandering ADLs Employee Turnover Census Long-Term Care Assisted Living

系外行星系统HAT-P-8凌食事件的测光观测研究

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天文学报 2013年第6期54卷 527-536页

作者：谭泓博王晓彬顾盛宏 Andrew Collier cameron 中国科学院云南天文台昆明650011 中国科学院大学北京100049 School of Physics and Astronomy University of St Andrews

利用云南天文台1 m望远镜以及丽江天文观测站2.4 m望远镜,分别在2009年和2012年对凌食太阳系外行星系统HAT-P-8进行了测光观测.为了提高凌食信号的信噪比,使用coarse de-correlation和SyeRem两种方法对测光数据中的系统误差进行了改正.... 详细信息

利用云南天文台1 m望远镜以及丽江天文观测站2.4 m望远镜,分别在2009年和2012年对凌食太阳系外行星系统HAT-P-8进行了测光观测.为了提高凌食信号的信噪比,使用coarse de-correlation和SyeRem两种方法对测光数据中的系统误差进行了改正.应用MCMC(Markov Chain Monte Carlo)方法对3组数据进行同时分析求解获得了HAT-P-8系统新的物理参数.得到HAT-P-8b的半径为Rp=1.28 R_J(R_J为木星半径),这比该行星发现时Latham等人给出的数值要小,而与最近Mancini等人所得的结果一致.通过线性拟合23个慎重挑选的凌食中心时刻,得到HAT-P-8b新的轨道周期P=3.0763461±0.0000021 d,并且从(O-G)(观测值减计算值)分析中没有发现显著的TTV(Transit Timing Variation)信号.

关键词：行星与卫星个别方法观测方法数据分析

Flux density measurements for 32 pulsars in the 20 cm observing band

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Research in Astronomy and Astrophysics 2019年第7期19卷 143-150页

作者： Yan-Wei Xie Jing-bo Wang George Hobbs Jane Kaczmarek Di Li Jie Zhang Shi Dai Andrew cameron Lei Zhang Chen-Chen Miao Mao Yuan Shen Wang Song-bo Zhang Heng Xui Ren-Xin Xu School of Physics and Space Science China West Normal UniversityNanchong 637002China National Astronomical Observatories Chinese Academy of SciencesBeijing 100101China Xinjiang Astronomical Observatory Chinese Academy of SciencesUrumqi 830011China Key Laboratory of Radio Astronomy Chinese Academy of SciencesUrumqi 830011China CSIRO Astronomy and Space Science PO Box 76EppingNSW 1710Australia CAS Key Laboratory of FAST National Astronomical ObservatoriesChinese Academy of SciencesBeijing 100101China College of Physics and Electronic Engineering Qilu Normal UniversityJinan 250014China Astronomy Department Cornell UniversityIthacaNY 14853USA Purple Mountain Observatory Chinese Academy of SciencesNanjing 21000& China Kavli Institute for Astronomy and Astrophysics Peking UniversityBeijing 100871China Department of Astronomy School of PhysicsPeking UniversityBeijing 100871China

Flux densities are fundamental observational parameters that describe a *** the current pulsar catalogue,27% of the listed radio pulsars have no flux density measurement in the 20 cm observing ***,we present the first such measurements for 32 pulsars observed employing the Parkes radio *** have used both archival and new observations to make these *** schemes exist for measuring flux densities and we show how the measured flux densities vary between these methods and how the presence of radio-frequency interference will bias the flux density measurements.

关键词： methods data analysis-pulsars general

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斗山公司进军小型发动机市场

建设机械技术与管理 2013年第5期26卷 I0011-I0013页

作者： lan cameron

斗山在韩国新建的发动机厂开始投产满足美国第4阶段和欧洲3b阶段排放要求的新紧凑型柴油机系列。公司的目标是成为世界顶级发动机制造商。

关键词：小型发动机市场发动机制造商排放要求发动机厂柴油机紧凑型

Are EPb41 and alpha-synuclein diagnostic biomarkers of sport-related concussion?Findings from the NCAA and Department of Defense CARE Consortium

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Journal of Sport and Health Science 2023年第3期12卷 379-387页

作者： Rany Vorn Christina Devoto Timothy b.Meier Chen Lai Sijung Yun Steven P.broglio Sara Mithani Thomas W.McAllister Christopher C.Giza Hyung-Suk Kim Daniel Huber Jaroslaw Harezlak Kenneth L.cameron Gerald McGinty Jonathan Jackson Kevin M.Guskiewicz Jason P.Mihalik Alison brooks Stefan Duma Steven Rowson Lindsay D.Nelson Paul Pasquina Michael A.McCrea Jessica M.Gill the CARE Consortium Investigators Johns Hopkins School of Nursing and Medicine BaltimoreMD 21205USA National Institutes of Health BethesdaMD 20892USA Department of Neurosurgery Medical College of WisconsinMilwaukeeWI 53226USA Predictiv Care Inc.Mountain ViewCA 94086USA Michigan Concussion Center University of MichiganAnn ArborMI 48109USA Department of Psychiatry Indiana University School of MedicineIndianapolisIN 46202USA Departments of Pediatrics and Neurosurgery University of California at Los Angeles(UCLA)Los AngelesCA 90024USA Department of Epidemiology and biostatistics School of Public Health–bloomington Indiana UniversityBloomingtonIN 47405USA John A.Feagin Sports Medicine Fellowship Keller Army Community HospitalWest PointNY 10996USA United States Air Force Academy Colorado SpringsCO 80840USA Mathew Gfeller Center Department of Exercise and Sport ScienceUniversity of North Carolina at Chapel HillChapel HillNC 27514USA Department of Orthopedics Division of Sports MedicineSchool of Medicine and Public HealthUniversity of WisconsinMadisonWI 53705USA Department of biomedical Engineering and Mechanics Virginia TechBlacksburgVA 24061USA Center for Neuroscience&Regenerative Medicine Uniformed Services UniversityBethesdaMD 20814USA 不详 Current affiliation:School of Nursing University of Texas Health Science Center San AntonioSan AntonioTX 78229USA

background:Current protein biomarkers are only moderately predictive at identifying individuals with mild traumatic brain injury or ***,more accurate diagnostic markers are needed for sport-related ***:This was a multicenter,prospective,case-control study of athletes who provided blood samples and were diagnosed with a concussion or were a matched non-concussed control within the National Collegiate Athletic Association-Department of Defense Concussion Assessment,Research,and Education Consortium conducted between 2015 and *** blood was collected within 48 h of injury to identify protein abnormalities at the acute and subacute *** with concussion were divided into 6 h post-injury(0-6 h post-injury)and after 6 h postinjury(7-48 h post-injury)*** applied a highly multiplexed proteomic technique that used a DNA aptamers assay to target 1305proteins in plasma samples from athletes with and without sport-related ***:A total of 140 athletes with concussion(79.3%males;aged 18.71±1.10 years,mean±SD)and 21 non-concussed athletes(76.2%males;19.14±1.10 years)were included in this *** identified 338 plasma proteins that significantly differed in abundance(319 upregulated and 19 downregulated)in concussed athletes compared to non-concussed *** top 20 most differentially abundant proteins discriminated concussed athletes from non-concussed athletes with an area under the curve(AUC)of 0.954(95%confidence interval:0.922-0.986).Specifically,after 6 h of injury,the individual AUC of plasma erythrocyte membrane protein band 4.1(EPb41)and alpha-synuclein(SNCA)were 0.956 and 0.875,*** combination of EPb41 and SNCA provided the best AUC(1.000),which suggests this combination of candidate plasma biomarkers is the best for diagnosing concussion in athletes after 6 h of ***:Our data suggest that proteomic profiling may provide novel diagnostic protein markers and that a combina

关键词： biomarkers College athletes Concussion Mild traumatic brain injury Sport injury

源于深部韧性剪切带中氧化变质作用的金:初步模式

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世界地质 1992年第4期11卷 97-102页

作者： Eion M cameron 纪瑛瑛

石英-碳酸盐金矿床赋存在剪切带中脆性-韧性转换处或在其上。据知有些最大的矿床就是沿着长期活动的主横推剪切带形成的。由于岩石的稠度随深度而降低,这种类型的剪切带向下在韧性态中加宽,有的韧性剪切带在麻粒岩相变质作用的深度宽达4... 详细信息

石英-碳酸盐金矿床赋存在剪切带中脆性-韧性转换处或在其上。据知有些最大的矿床就是沿着长期活动的主横推剪切带形成的。由于岩石的稠度随深度而降低,这种类型的剪切带向下在韧性态中加宽,有的韧性剪切带在麻粒岩相变质作用的深度宽达40km。韧性剪切带是可渗透的,并由于可渗性是沿微裂隙发育,所以水流遍布,为广泛的化学反应提供了机会。反应速率随剪切加热、矿物变形诱发的应力梯度、和粒度的减小而增加。因为压力在剪切带的脆性部分降低,水流往往是向上的。假设韧性剪切带为楔形体,穿过下地壳的大量流体就会聚集在脆性-韧性带的转换处。因此,如果在穿过下地壳的流体运动期间存在着选择迁移元素的作用,那么这些元素也可聚集在这个转换处。石英-碳酸盐矿脉最恒定的特征之一是碳酸盐蚀变,它可从矿床的中部向外延伸数公里。这里的^(13)C特征与幔源CO_2一致。可能来源于地幔并向上运动的CO_2气化物与角闪岩相岩石脱水成为麻粒岩及伴随的大离子亲岩元素的衰竭有关。有大量资料表明下地壳被CO_2改变的情况发生在主剪切带。在深部CO_2的流动仅发生在比石墨稳定性所需环境更为氧化的条件下。这种环境利于金的溶解,因为:(a) 使Au°氧化为Au^+;(b) 从岩石中溶出的硫化物和Au+络合。近期工作已经证明有些主要的太古代金矿床的成矿物质来源干相对氧化的流体中。初步模式的概述至少要考虑某些石英-碳酸盐金矿床的成因。渗入到深部韧性剪切带的CO_2使角闪岩相岩石脱水。产生了相对氧化的CO_2—H_2O流体,这个流体使来自下地壳的大量硫化物和金溶解。金被向上带到变窄的剪切处,聚集并沉淀在脆性-韧性转换处。

关键词：剪切带氧化变质作用金矿床

墨西哥奇瓦瓦州西部钙碱性火山岩和深成岩演化的对比研究

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国外火山地质 1987年第3期 97-108页

作者： W.C.bagby K.L.cameron M.cameron 毛建仁

墨西哥西北部谢拉西马德雷山脉（Sierra Madre Occidental）的巴托皮拉斯地区（batopilas）有两套大陆弧岩浆岩。时代较老的有晚白垩纪至早新生代的花岗岩类,年轻的是中第三纪安山岩至流纹岩系列,大部分以大规模出露的火山碎屑流堆积为... 详细信息

墨西哥西北部谢拉西马德雷山脉（Sierra Madre Occidental）的巴托皮拉斯地区（batopilas）有两套大陆弧岩浆岩。时代较老的有晚白垩纪至早新生代的花岗岩类,年轻的是中第三纪安山岩至流纹岩系列,大部分以大规模出露的火山碎屑流堆积为代表。火山岩类岩石的SiO2含量从54%变化至78%,花岗岩类岩石的SiO2含量则限于57—68%。两套岩石的主要元素通常极相似,然而,较老的花岗岩类与火山岩相比具低的Zr/Nb值和高的Nb/Y和K/Rb值。此外,花岗

关键词：深成岩拉斯黑云母侵入岩石英闪长岩稀土元素 Ⅲb族元素火山岩区花岗闪长岩酸性岩玄武质岩浆稀土配分角闪石链状硅酸盐矿物岩浆岩火成岩地壳源区分离结晶作用初始比值墨西哥拉丁美洲

深部韧性剪切带氧化变质作用萃取金的概念模式

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国外火山地质 1990年第1期 96-102页

作者： E.M.cameron 张定源

石英—碳酸盐金矿产于韧性剪切带内的脆性—韧性过渡带中或其上部。已知有些特大型矿床沿长期活动的大型横推剪切带形成。由于深度增大,岩石的粘度减小,所以这种类型的剪切带呈韧性状向下宽度增大。在麻粒岩相变质深度,有些剪切带宽达4... 详细信息

石英—碳酸盐金矿产于韧性剪切带内的脆性—韧性过渡带中或其上部。已知有些特大型矿床沿长期活动的大型横推剪切带形成。由于深度增大,岩石的粘度减小,所以这种类型的剪切带呈韧性状向下宽度增大。在麻粒岩相变质深度,有些剪切带宽达40Km。韧性剪切带具良好渗透性,流体沿微裂隙渗透,为其发生广泛的化学反应提供了有利条件。由于剪切作用产生热量,矿物中形变作用诱发的应力梯度、以及粒度变小,促使反应速度提高。由于压力降至相当脆性部位,所以流体流总的方向是往上的。在韧性剪切带楔形断面上,从下地壳内穿过很大距离的流体集中在脆性—韧性过渡带中。这样,如果流体在通过下地壳过程中选择地搬运了某些元素,则这些元素也被集中在这种过渡带内。石英—碳酸盐矿脉最常见的特征之一就是碳酸盐化蚀变,这种蚀变在大型矿床向外可扩宽达数公里,CO2中13C 的特征与地幔源相一致。向上运移的可能为地幔成因的 CO2气体对岩石从角闪岩相到麻粒岩相的脱水及伴有大离子亲石元素（LILE）的贫化有重要意义。下地壳成分被 CO2改造这一确证的事实就来自于大型剪切带。深部 CO2气流只有在比保持石墨稳定更氧化的条件下才能存在。这些条件通过下列几种方式更利于金的溶解,即:（a）Au0氧化成 Au+;（b）溶解岩石中的硫化物,并与 Au+形成络合物。最近研究表明,某些太古代大型金矿就是由较氧化的流体所形成。本文的概念模式至少可以概括一部分石英—碳酸盐金矿床的成因。渗透到深部韧性剪切带中的 CO2使角闪岩相岩石发生脱水,产生了较氧化的 CO2—H2O流体。这种流体在下地壳较大范围内溶解其中的硫化物和金,在较窄的剪切带中金被向上搬运,集中并沉淀在脆性—韧性过渡带中或在其上部。

关键词：韧性剪切带深部渗透性概念模式流体流金矿床贵金属矿床碳酸盐矿过渡带层带氧逸度下地壳矿物氧化变质