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Thematische Bibliographien / Spin-wave separation of variables

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Auswahl der wissenschaftlichen Literatur zum Thema „Spin-wave separation of variables“

Autor: Grafiati

Veröffentlicht am 7. September 2024

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Zeitschriftenartikel zum Thema "Spin-wave separation of variables"

1

Kalnins, E. G., and G. C. Williams. "Symmetry operators and separation of variables for spin‐wave equations in oblate spheroidal coordinates." Journal of Mathematical Physics 31, no. 7 (1990): 1739–44. http://dx.doi.org/10.1063/1.528670.

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2

Amico, Luigi, Holger Frahm, Andreas Osterloh, and Tobias Wirth. "Separation of variables for integrable spin–boson models." Nuclear Physics B 839, no. 3 (2010): 604–26. http://dx.doi.org/10.1016/j.nuclphysb.2010.07.005.

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3

Zhdanov, R. Z. "Separation of variables in the nonlinear wave equation." Journal of Physics A: Mathematical and General 27, no. 9 (1994): L291—L297. http://dx.doi.org/10.1088/0305-4470/27/9/009.

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4

BEREST, YURI, and PAVEL WINTERNITZ. "HUYGENS' PRINCIPLE AND SEPARATION OF VARIABLES." Reviews in Mathematical Physics 12, no. 02 (2000): 159–80. http://dx.doi.org/10.1142/s0129055x00000071.

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We demonstrate a close relation between the algebraic structure of the (local) group of conformal transformations on a smooth Lorentzian manifold [Formula: see text] and the existence of nontrivial hierarchies of wave-type hyperbolic operators satisfying Huygens' principle on [Formula: see text]. The mechanism of such a relation is provided through a local separation of variables for linear second order partial differential operators with a metric principal symbol. The case of flat (Minkowski) spaces is studied in detail. As a result, some new nontrivial classes of Huygens operators are constructed. Their relation to the classical Hadamard conjecture and its modifications is discussed.

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5

Zhdanov, R. Z., I. V. Revenko, and V. I. Fushchich. "Separation of variables in two-dimensional wave equations with potential." Ukrainian Mathematical Journal 46, no. 10 (1994): 1480–503. http://dx.doi.org/10.1007/bf01066092.

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6

Smirnov, Yu G., V. Yu Martynova, M. A. Moskaleva, and A. V. Tikhonravov. "MODIFIED METHOD OF SEPARATION OF VARIABLES FOR SOLVING DIFFRACTION PROBLEMS ON MULTILAYER DIELECTRIC GRATINGS." Eurasian Journal of Mathematical and Computer Applications 9, no. 4 (2021): 76–88. http://dx.doi.org/10.32523/2306-6172-2021-9-4-76-88.

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A modified method of separation of variables is proposed for solving the direct problem of diffraction of electromagnetic wave by multilayer dielectric gratings (MDG). To apply this method, it is necessary to solve a one-dimensional eigenvalue problem for a 2nd- order differential equation on a segment with piecewise constant coefficients. The accuracy of the method is verified by comparison with the results obtained by the commercially available RCWA method. It is demonstrated that the method can be applied not only to commonly used MDG elements with one line in a grating period but also to potentially promising MDG elements with several different lines in a grating period.

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7

Sergeev, S. M. "Functional Equations and Quantum Separation of Variables for 3d Spin Models." Theoretical and Mathematical Physics 138, no. 2 (2004): 226–37. http://dx.doi.org/10.1023/b:tamp.0000015070.88403.f9.

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8

Osetrin, Konstantin, and Evgeny Osetrin. "Shapovalov Wave-Like Spacetimes." Symmetry 12, no. 8 (2020): 1372. http://dx.doi.org/10.3390/sym12081372.

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A complete classification of space-time models is presented, which admit the privileged coordinate systems, where the Hamilton–Jacobi equation for a test particle is integrated by the method of complete separation of variables with separation of the isotropic (wave) variable, on which the metric depends (wave-like Shapovalov spaces). For all types of Shapovalov spaces, exact solutions of the Einstein equations with a cosmological constant in vacuum are found. Complete integrals are presented for the eikonal equation and the Hamilton–Jacobi equation of motion of test particles.

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9

Casals, Marc, Adrian C. Ottewill, and Niels Warburton. "High-order asymptotics for the spin-weighted spheroidal equation at large real frequency." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 475, no. 2222 (2019): 20180701. http://dx.doi.org/10.1098/rspa.2018.0701.

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The spin-weighted spheroidal eigenvalues and eigenfunctions arise in the separation by variables of spin-field perturbations of Kerr black holes. We derive a large, real-frequency asymptotic expansion of the spin-weighted spheroidal eigenvalues and eigenfunctions to high order. This expansion corrects and extends existing results in the literature and we validate it via a high-precision numerical calculation.

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10

Osetrin, Konstantin, Ilya Kirnos, Evgeny Osetrin, and Altair Filippov. "Wave-Like Exact Models with Symmetry of Spatial Homogeneity in the Quadratic Theory of Gravity with a Scalar Field." Symmetry 13, no. 7 (2021): 1173. http://dx.doi.org/10.3390/sym13071173.

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Exact solutions are obtained in the quadratic theory of gravity with a scalar field for wave-like models of space–time with spatial homogeneity symmetry and allowing the integration of the equations of motion of test particles in the Hamilton–Jacobi formalism by the method of separation of variables with separation of wave variables (Shapovalov spaces of type II). The form of the scalar field and the scalar field functions included in the Lagrangian of the theory is found. The obtained exact solutions can describe the primary gravitational wave disturbances in the Universe (primary gravitational waves).

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