842 resultados para Dirac brackets


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"Our reprint of this work is from the twenty-third London edition, and the notes inclosed in brackets are from the pen, we believe, of Mr. Peter Cunningham."--Pref.

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Bound in marbled paper boards; purple leather shelfback and corners, stamped in gold; marbled edges; marbled endpapers.

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Includes the first and third parts of Hegel's work, "in a condensed form," with the editor's criticisms interspersed "in brackets"; for the second part, the editor has substituted "an original disquisition." cf. Pref.

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[Welding seat brackets]

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110 lines of Pope's Poem have been incorporated in the Play, and are indicated by brackets.--Author's note.

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Representations of the superalgebra osp(2/2)(k)((1)) and current superalgebra. osp(2/2)k in the standard basis are investigated. All finite-dimensional typical and atypical representations of osp(2/2) are constructed by the vector coherent state method. Primary fields of the non-unitary conformal field theory associated with osp(2/2)(k)((1)) in the standard basis are obtained for arbitrary level k. (C) 2004 Elsevier B.V. All rights reserved.

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A new approach based on the nonlocal density functional theory to determine pore size distribution (PSD) of activated carbons and energetic heterogeneity of the pore wall is proposed. The energetic heterogeneity is modeled with an energy distribution function (EDF), describing the distribution of solid-fluid potential well depth (this distribution is a Dirac delta function for an energetic homogeneous surface). The approach allows simultaneous determining of the PSD (assuming slit shape) and EDF from nitrogen or argon isotherms at their respective boiling points by using a set of local isotherms calculated for a range of pore widths and solid-fluid potential well depths. It is found that the structure of the pore wall surface significantly differs from that of graphitized carbon black. This could be attributed to defects in the crystalline structure of the surface, active oxide centers, finite size of the pore walls (in either wall thickness or pore length), and so forth. Those factors depend on the precursor and the process of carbonization and activation and hence provide a fingerprint for each adsorbent. The approach allows very accurate correlation of the experimental adsorption isotherm and leads to PSDs that are simpler and more realistic than those obtained with the original nonlocal density functional theory.

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We compute the Dirac indexes for. the two spin structures kappa(0) and kappa(1) for Eguchi-Hanson metrics with nonzero total mass. It shows that the Dirac indexes do not vanish in general, and axial anomaly exists. When the metric has zero total mass, the Dirac index vanishes for the spin structure no, and no axial anomaly exists in this case.

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This study aimed to identify age differences in the themes of songs written by patients with traumatic brain injury (TBI). Lyrics from 82 songs written by 11 female and 20 male patients aged between 5 and 60 years were categorised into eight themes and 24 categories. Incidence of categories and themes were calculated and compared across six age brackets. Results suggest that children, early adolescent, and middle adolescent patients with TBI focus on memories to a substantially greater degree than older patients. Early and late adolescent patient groups are most likely to be self-reflective, and to raise concerns about the future, when compared with other patient groups. (author abstract)

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By using a complex field with a symmetric combination of electric and magnetic fields, a first-order covariant Lagrangian for Maxwell's equations is obtained, similar to the Lagrangian for the Dirac equation. This leads to a dual-symmetric quantum electrodynamic theory with an infinite set of local conservation laws. The dual symmetry is shown to correspond to a helical phase, conjugate to the conserved helicity. There is also a scaling symmetry, conjugate to the conserved entanglement. The results include a novel form of the photonic wavefunction, with a well-defined helicity number operator conjugate to the chiral phase, related to the fundamental dual symmetry. Interactions with charged particles can also be included. Transformations from minimal coupling to multi-polar or more general forms of coupling are particularly straightforward using this technique. The dual-symmetric version of quantum electrodynamics derived here has potential applications to nonlinear quantum optics and cavity quantum electrodynamics.

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O presente estudo visou comparar in vitro o atrito produzido por braquetes convencionais metálicos e estéticos com canaleta metálica e vítrea quando inseridos fios de secções redonda e retangular de diferentes dimensões, simulando situações sem deslocamento, com deslocamento de 2 mm e com simulação do efeito binding 3º. Foram utilizados 125 braquetes de 5 marcas comerciais (Roth Standard, Composite, Elation, Invu e Radiance), sendo 25 braquetes para cada corpo de prova. Para os ensaios laboratoriais, foram colados 5 braquetes simulando uma hemi-arcada superior direita (incisivos central e lateral, canino, primeiro e segundo premolares) em um dispositivo para posicionamento dos braquetes, sendo este acoplado à máquina universal de ensaios EMIC DL2000. Foram empregados os fios 0,016 , 0,018 e 0,017 x 0,025 NiTi para realização dos ensaios sem deslocamento e com deslocamento de 2 mm e os fios de secção 0,017 x 0,025 , 0,019 x 0,025 e 0,021 x 0,025 CrNi para realização dos ensaios com angulação zero grau e 3º. Para a comparação entre os braquetes nos diferentes fios e angulações, foi utilizada a Análise de Variância e o teste de Tukey (p<0,05). Os resultados demonstraram que nos ensaios sem deslocamento o braquete estético de policarbonato Composite apresentou menor atrito em todos os fios avaliados, enquanto o maior atrito em todas as combinações realizadas foi observado no braquete estético cerâmico monocristalino Radiance em relação aos demais braquetes. Nos ensaios com deslocamento de 2 mm e simulação do efeito binding 3º, os resultados foram semelhantes aos observados nos ensaios sem deslocamento. Contudo, houve uma diferença estatisticamente significante entre os cinco corpos de prova, sendo o atrito verificado, respectivamente e de forma crescente, nos braquetes Composite, Roth Standard, Elation, Invu e Radiance. Pôde-se concluir que a resistência friccional teve influência da composição dos braquetes, diâmetro dos fios e tipo de ensaio realizado (deslocamento de 2 mm e angulação de 3º). Além disso, a inserção da canaleta metálica no braquete estético de policarbonato Elation reduziu de forma estatisticamente significante o atrito, porém esse foi maior do que o gerado por um braquete convencional metálico e, por fim, a incorporação da canaleta vítrea no braquete estético cerâmico policristalino Invu ofereceu uma maior lisura de superfície, reduzindo as irregularidades e imperfeições presentes na canaleta o que levou, consequentemente, a uma redução estatisticamente significante no atrito, o que demonstra que a modificação em sua canaleta favoreceu o deslocamento e reduziu de forma efetiva essa resistência à fricção.