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Добірка наукової літератури з теми "Cauchy spinors"

Автор: Grafiati

Опубліковано: 22 жовтня 2022

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Статті в журналах з теми "Cauchy spinors"

Ammann, Bernd, Klaus Kröncke, and Olaf Müller. "Construction of Initial Data Sets for Lorentzian Manifolds with Lightlike Parallel Spinors." Communications in Mathematical Physics 387, no. 1 (August 3, 2021): 77–109. http://dx.doi.org/10.1007/s00220-021-04172-1.

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AbstractLorentzian manifolds with parallel spinors are important objects of study in several branches of geometry, analysis and mathematical physics. Their Cauchy problem has recently been discussed by Baum, Leistner and Lischewski, who proved that the problem locally has a unique solution up to diffeomorphisms, provided that the intial data given on a space-like hypersurface satisfy some constraint equations. In this article we provide a method to solve these constraint equations. In particular, any curve (resp. closed curve) in the moduli space of Riemannian metrics on M with a parallel spinor gives rise to a solution of the constraint equations on $$M\times (a,b)$$ M × ( a , b ) (resp. $$M\times S^1$$ M × S 1 ).

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Ammann, Bernd, Andrei Moroianu, and Sergiu Moroianu. "The Cauchy Problems for Einstein Metrics and Parallel Spinors." Communications in Mathematical Physics 320, no. 1 (April 16, 2013): 173–98. http://dx.doi.org/10.1007/s00220-013-1714-1.

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D'ANCONA, PIERO, DAMIANO FOSCHI, and SIGMUND SELBERG. "LOCAL WELL-POSEDNESS BELOW THE CHARGE NORM FOR THE DIRAC–KLEIN–GORDON SYSTEM IN TWO SPACE DIMENSIONS." Journal of Hyperbolic Differential Equations 04, no. 02 (June 2007): 295–330. http://dx.doi.org/10.1142/s0219891607001148.

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We prove that the Cauchy problem for the Dirac–Klein–Gordon equations in two space dimensions is locally well-posed in a range of Sobolev spaces of negative index for the Dirac spinor, and an associated range of spaces of positive index for the meson field. In particular, we can go below the charge norm, that is, the L2 norm of the spinor. We hope that this can have implications for the global existence problem, since the charge is conserved. Our result relies on the null structure of the system, and bilinear space-time estimates for the homogeneous wave equation.

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TESFAHUN, ACHENEF. "GLOBAL WELL-POSEDNESS OF THE 1D DIRAC–KLEIN–GORDON SYSTEM IN SOBOLEV SPACES OF NEGATIVE INDEX." Journal of Hyperbolic Differential Equations 06, no. 03 (September 2009): 631–61. http://dx.doi.org/10.1142/s0219891609001952.

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We prove that the Cauchy problem for the Dirac–Klein–Gordon system of equations in 1D is globally well-posed in a range of Sobolev spaces of negative index for the Dirac spinor and positive index for the scalar field. The main ingredient in the proof is the theory of "almost conservation law" and "I-method" introduced by Colliander, Keel, Staffilani, Takaoka, and Tao. Our proof also relies on the null structure in the system, and bilinear space–time estimates of Klainerman–Machedon type.

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Yefremov, Alexander P. "Physical theories in hypercomplex geometric description." International Journal of Geometric Methods in Modern Physics 11, no. 06 (July 2014): 1450062. http://dx.doi.org/10.1142/s0219887814500625.

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Compact description is given of algebras of poly-numbers: quaternions, bi-quaternions, double (split-complex) and dual numbers. All units of these (and exceptional) algebras are shown to be represented by direct products of 2D vectors of a local basis defined on a fundamental surface. In this math medium a series of equalities identical or similar to known formulas of physical laws is discovered. In particular, a condition of the algebras' stability with respect to transformations of the 2D-basis turns out equivalent to the spinor (Schrödinger–Pauli and Hamilton–Jacobi) equations of mechanics. It is also demonstrated that isomorphism of SO(3, 1) and SO(3, ℂ) groups leads to formulation of a quaternion relativity theory predicting all effects of special relativity but simplifying solutions of relativistic problems in non-inertial frames. Finely it is shown that the Cauchy–Riemann type equations written for functions of quaternion variable repeat vacuum Maxwell equations of electrodynamics, while a quaternion space with non-metricity comprises main relations of Yang–Mills field theory.

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Herdegen, Andrzej. "Infrared Problem vs Gauge Choice: Scattering of Classical Dirac Field." Annales Henri Poincaré 22, S1 (February 5, 2021): 1–55. http://dx.doi.org/10.1007/s00023-020-01015-y.

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AbstractWe consider the Dirac equation for the classical spinor field placed in an external, time-dependent electromagnetic field of the form typical for scattering settings: $$F=F^\mathrm{ret}+F^\mathrm{in}=F^\mathrm{adv}+F^\mathrm{out}$$ F = F ret + F in = F adv + F out , where the current producing $$F^{\mathrm{ret}/\mathrm{adv}}$$ F ret / adv has past and future asymptotes homogeneous of degree $$-3$$ - 3 , and the free fields $$F^{\mathrm{in}/\mathrm{out}}$$ F in / out are radiation fields produced by currents with similar asymptotic behavior. We show the existence of the electromagnetic gauges in which the particle has ‘in’ and ‘out’ asymptotic states approaching free field states, with no long-time corrections of the free dynamics. Using a special Cauchy foliation of the spacetime, we show in this context the existence and asymptotic completeness of the wave operators. Moreover, we define a special ‘evolution picture’ in which the free evolution operator has well-defined limits for $$t\rightarrow \pm \infty $$ t → ± ∞ ; thus the scattering wave operators do not need the free evolution counteraction.

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West, GA. "Colobomatus-Icopaius (Copepoda, Philichthyidae), a New Species Parasitic on Lethrinus-Chrysostomus (Pisces, Lethrinidae), From the Great-Barrier-Reef." Australian Journal of Zoology 37, no. 1 (1989): 95. http://dx.doi.org/10.1071/zo9890095.

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Colobomatus icopaius, sp. nov., was collected from the cephalic canal system associated with the preopercular bones of the sweetlip, Lethrinus chrysostomus Richardson, caught off Heron I. on the Great Barrier Reef. The female differs from those of all other described species in having a chitinised cephalic transverse process, a spinose oral pad, and bifid thoracic lobes, features which are suggested to function in maintaining the female in its feeding position.

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Shojaey, M., M. Khayrandish, S. M. Madjdzadeh, and H. Lotfalizadeh. "New records of Pteromalinae (Hymenoptera: Chalcidoidea, Pteromalidae) from Iran." Far Eastern entomologist 439 (October 1, 2021): 14–23. http://dx.doi.org/10.25221/fee.439.2.

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The specimens of the pteromalid wasps (Hymenoptera: Chalcidoidea, Ptero-malidae) were caught using Malaise traps and sweeping net in Kerman province of Iran during March 2016 to August 2017. The genus Coelopisthia Förster, 1856 and the species: C. areolata Askew, 1980, Homoporus apharetus (Walker, 1839), Norbanus brevicornis Szelenyi, 1974, Pachyneuron gibbiscuta Thomson, 1878, and Sphegigaster pedunculiventris (Spinola, 1808) are recorded for the first time from Iran. The diagnostic characteristics and illustrations are given for the newly recorded species.

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Clapp, David F., and Richard D. Clark. "Hooking Mortality of Smallmouth Bass Caught on Live Minnows and Artificial Spinners." North American Journal of Fisheries Management 9, no. 1 (February 1989): 81–85. http://dx.doi.org/10.1577/1548-8675(1989)009<0081:hmosbc>2.3.co;2.

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Sokolov, Sergey, Ekaterina Voropaeva, and Dmitry Atopkin. "A new species of deropristid trematode from the sterlet Acipenser ruthenus (Actinopterygii: Acipenseridae) and revision of superfamily affiliation of the family Deropristidae." Zoological Journal of the Linnean Society 190, no. 2 (March 21, 2020): 448–59. http://dx.doi.org/10.1093/zoolinnean/zlaa015.

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Abstract A new species, Skrjabinopsolus nudidorsalis sp. nov. is described from the sterlet Acipenser ruthenus, caught in the River Volga basin (Russia). This species differs from previously described congeners by the absence of vitelline follicles on the dorsal side of the body. The complete 18S rRNA and partial 28S rRNA gene sequences obtained for S. nudidorsalis are the first molecular data for the family Deropristidae. The results of phylogenetic analysis indicate that Deropristidae is sister to the Monorchiidae + Lissorchiidae group. The results of the phylogenetic study contradict the current taxonomic hypothesis that Deropristidae belongs to the superfamily Lepocreadioidea and allow inclusion of this family in Monorchioidea. The morphological similarity of deropristids to other monorchioids is recognizable from the presence of a bipartite internal seminal vesicle, spinous cirrus and a voluminous, armed metraterm.

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Більше джерел

Дисертації з теми "Cauchy spinors"

Flamencourt, Brice. "On some problems in spectral analysis, spin geometry and conformal geometry." Thesis, université Paris-Saclay, 2022. http://www.theses.fr/2022UPASM014.

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Cette thèse se divise en deux grandes parties. Dans la première, on s'intéresse à deux problèmes d'analyse spectrale portant sur la convergence des valeurs propres d'opérateurs à paramètres. D'une part, on considère l'opérateur de Schrödinger dans le plan, avec un potentiel singulier supporté par une courbe fermée Γ admettant un point de rebroussement. Ce potentiel s'écrit formellement −αδ(x−Γ), et l'on décrit le comportement du spectre de l'opérateur dans la limite α→∞. D'autre part, on étudie l'opérateur de Dirac qui apparaît dans le modèle MIT Bag, en le généralisant aux variétés spin. Lorsque le paramètre de masse de cet opérateur tend vers l'infini, on observe une convergence des valeurs propres. Dans la seconde partie, on discute différents problèmes de géométrie. On démontre tout d'abord des résultats de structure et de classification en dimension 3 pour une classe particulière de spineurs, appelés spineurs de Cauchy, qui apparaissent naturellement comme restrictions de spineurs parallèles à des hypersurfaces orientées de variétés spin. Enfin, on s'intéresse aux connexions de Weyl sur les variétés conformes. On définit les structures localement conformément produits (LCP) par la donnée d'une structure de Weyl fermée, non-exacte, non-plate et à holonomie réductible sur une variété conforme compacte. On analyse les variétés LCP afin d'initier une classification
This thesis is divided into two main parts. In the first one, we focus on two problems of spectral analysis concerning the convergence of eigenvalues of operators with parameters. On the one hand, we consider the Schrödinger operator in the plane, with a singular potential supported by a closed curve Γ admitting a cusp. This potential is formally written −αδ(x−Γ), and we describe the behaviour of the spectrum of the operator as α→∞. On the other hand, we study the Dirac operator which appears in the MIT Bag model, by generalizing it from Euclidean spaces to spin manifolds. We observe a convergence of the eigenvalues of this operator when the mass parameter tends to infinity. In the second part, we discuss two different geometric problems. First, we prove structure and classification results in dimension 3 for a particular class of spinors, called Cauchy spinors, arising as restrictions of parallel spinors to oriented hypersurfaces of spin manifolds. Finally, we focus on Weyl connections on conformal manifolds. We define a locally conformally product (LCP) structure as a closed, non-exact, non-flat Weyl structure with reducible holonomy on a compact conformal manifold. We analyse the LCP manifolds in order to initiate a classification

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Bergstedt, Viktor. "Spacetime as a Hamiltonian Orbit and Geroch's Theorem on the Existence of Fermions." Thesis, Uppsala universitet, Institutionen för fysik och astronomi, 2020. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-432488.

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Over a century since its inception, general relativity continues to lie at the heart of some of the most researched topics in theoretical physics. It seems likely that the coveted solutions to problems like quantum gravity are to be found in an extension of general relativity, one which may only be visible in an alternate formulation of the theory. In this thesis we consider the possibility of casting general relativity in the form of an initial value problem where spacetime is seen as the evolution of space. This evolution is shown to be constrained and of Hamiltonian type. Not all spacetimes are physically acceptable. To be compatible with particle physics, one would like spacetime to accommodate fermions. Here we can take comfort in Geroch’s theorem, which implies that any spacetime that admits a Hamiltonian formulation automatically supports the existence of fermions. We review the elements that go into the proof of this theorem.
Allmän relativitetsteori har i över hundra år legat i teoretiska fysikens framkant. Det är möjligt att lösningarna på öppna problem som kvantiseringen av gravitation går att finna i en utvidgning av allmän relativitetsteori – och kanske uppenbarar sig denna utvidgning bara ur en alternativ formulering av teorin. I den här uppsatsen formuleras allmän relativitetsteori och dess Einsteinekvationer som ett begynnelsevärdesproblem, genom vilket rumtiden kan betraktas som rummets historia. Vi visar att rummets rörelseekvationer är Hamiltons ekvationer med tvångsvillkor. Enligt partikelfysiken bör fermioner kunna finnas till i rumtiden. Härom kan vi åberopa Gerochs sats, enligt vilken rumtider som har en Hamiltonsk formulering också medger fermioner. Vi redogör för huvuddragen i beviset av Gerochs sats.

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Частини книг з теми "Cauchy spinors"

Baum, Helga, and Thomas Leistner. "Lorentzian Geometry: Holonomy, Spinors, and Cauchy Problems." In Geometric Flows and the Geometry of Space-time, 1–76. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-030-01126-0_1.

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"Biology and Management of Dogfish Sharks." In Biology and Management of Dogfish Sharks, edited by Susan D. Hazlett, Nicole Misarti, Alexander G. Andrews, Gordon A. McFarlane, and Matthew J. Wooller. American Fisheries Society, 2009. http://dx.doi.org/10.47886/9781934874073.ch23.

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Abstract.—Spiny dogfish Squalus acanthias are an abundant and commercially important species of fish off both the Atlantic and Pacific coasts of North America. They are opportunistic feeders and have a varied diet that can include many fish species, especially small forage fish such as herring, capelin, and sand lance as well as crustaceans, worms, euphausiids, gelatinous zooplankton, and cephalopods. The purpose of our present study is to investigate the utility of the second dorsal spine in providing multiyear information on the feeding habits of dogfish using stable isotope (C and N) analysis. The outer dentine and enamel layers of a spine from three dogfish (caught off the coast of British Columbia) were analyzed to obtain their stable nitrogen and carbon isotope composition (δ15N and δ13C, respectively). Each sample had annuli from multiple years, allowing possible seasonal migrations to be averaged over samples. The δ15N ranged from a low of 11.6‰ to a high of 14.9‰ over the three spines and δ13C ranged from –11.5‰ to –18.4‰. The variable isotopic signatures along the spine indicate that the method may be used to assess ecological changes. Stable isotope measurements of dogfish spines could be a valuable means of determining long-term changes in habitat usage and feeding ecology.

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Wood, David. "The New Materialism." In Deep Time, Dark Times, 96–106. Fordham University Press, 2018. http://dx.doi.org/10.5422/fordham/9780823281367.003.0008.

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Post-humanism throws up deep questions about agency and responsibility at a point in human and terrestrial history at which we most urgently need answers. Do new materialists—a cluster of contemporary thinkers influenced by Spinoza, Deleuze, and feminism—help us with such answers? Is it enough to speak of the agency of things? Or a hybrid model in which humans share agency with natural forces? Or to rethink agents not as independent beings but essentially relational, assemblages? Is new materialism any better than the old one? It offers ways of thinking and talking that attempt to overcome or displace patterns of thought that generate blind repetitions of empty formulae. Following Deleuze, new materialism attempts to overcome the ways in which we are caught up in reactive forces, which has a direct impact on how we respond to climate change. But it is less plausible as ontology, often falling into performative self-contradiction, and more significant as discursive innovation. It opens the world in new ways, refiguring matter with new words, new concepts. It wants to point to the resistance, recalcitrance, and powers of things, but much of the work takes place in transforming our discursive inheritance.

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