Academic literature on the topic 'Rotor/spin-wave separation of variables'

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Journal articles on the topic "Rotor/spin-wave separation of variables"

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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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Noula Tefouet, Joseph D., and David Yemélé. "Soliton Domain Wall Concept: Analytical and Numerical Investigation in Digital Magnetic Recording System." European Journal of Applied Physics 3, no. 2 (2021): 56–66. http://dx.doi.org/10.24018/ejphysics.2021.3.2.64.

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To introduce Soliton theory in magnetic recording systems, we begin with the profile of Domain Wall, which is key elements of recording systems, knowing that many different Domain Walls shape exist. For this, we consider the recording media as chain of atoms (spin) and, we use the Hamiltonian to describe the global state of the system; by taking into consideration interaction between the neighboring spin and anisotropic interaction. Spins are considered as classical vector; for that, we defined the cosine and sine of angles that specify the position of the spins. They are developed in Taylor’s
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Ovsiyuk, E., A. Safronov, A. Ivashkevich, and O. Semenyuk. "St¨uckelberg particle in external magnetic field. The method of projective operators." Proceedings of the Komi Science Centre of the Ural Division of the Russian Academy of Sciences, no. 5 (December 20, 2022): 69–78. http://dx.doi.org/10.19110/1994-5655-2022-5-69-78.

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We study the St¨uckelberg equation for a relativistic particle
 with two spin states S = 1 and S = 0 in the presence of
 an external uniform magnetic field. The particle is described
 by an 11-component wave function consisting of a scalar, a
 vector, and an antisymmetric tensor. On the solutions of the
 equation, the operators of energy, the third projection of the
 total angular momentum, and the third projection of the linear
 momentum along the direction of the magnetic field are
 diagonalized. After separation of variables, a system for 11
 rad
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Ovsiyuk, E., A. Safronov, A. Ivashkevich, and O. Semenyuk. "St¨uckelberg particle in external magnetic field. Nonrelativistic approximation. Exact solutions." Proceedings of the Komi Science Centre of the Ural Division of the Russian Academy of Sciences, no. 5 (December 20, 2022): 79–88. http://dx.doi.org/10.19110/1994-5655-2022-5-79-88.

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The St¨uckelberg equation for a particle with two spin states,
 S = 1 and S = 0, is studied in the presence of an external
 uniform magnetic field. In relativistic case, the particle is described
 by an 11-component wave function. On the solutions
 of the equation, the operators of energy, the third projection
 of the total angular momentum, and the third projection of the
 linear momentum along the direction of the magnetic field are
 diagonalized. After separation of variables, we derive a system
 for 11 functions depending on one variable. We perform&
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5

Anzaldo-Meneses, A. "Supercanonical coordinates for orthosymplectic evolution operators." Journal of Mathematical Physics 63, no. 9 (2022): 092101. http://dx.doi.org/10.1063/5.0083883.

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A time-dependent self-adjoint even Hamiltonian is defined by a linear combination of generators of the semidirect sum [Formula: see text], of the orthosymplectic plus the even Heisenberg algebra by computing the supercommutator of odd binary forms Π, given as linear combinations of odd bilinear generators of the odd Heisenberg algebra [Formula: see text] elements times [Formula: see text] elements, establishing a relationship between entangled boson systems and entangled fermion systems. This approach leads to the concept of intertwining, defined through the resulting quadratic Hamiltonians of
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Roscilde, Tommaso, Tommaso Comparin, and Fabio Mezzacapo. "Entangling Dynamics from Effective Rotor–Spin-Wave Separation in U(1)-Symmetric Quantum Spin Models." Physical Review Letters 131, no. 16 (2023). http://dx.doi.org/10.1103/physrevlett.131.160403.

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Su, Ting, Junhong Yao, and Yanan Huang. "Integrable variable-coefficient derivative Spin-1 Gross–Pitaevskii equations and their explicit solutions." Modern Physics Letters B 36, no. 03 (2021). http://dx.doi.org/10.1142/s0217984921505606.

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Based on the generalized dressing method, we propose a new integrable variable coefficient Spin-1 Gross–Pitaevskii equations and derive their Lax pair. Using separation of variables, we have derived explicit solutions of the equations. In order to analyze the characteristic of derived solution, the graphical wave of the solutions is plotted with the aid of Matlab.
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Gromov, Nikolay, Fedor Levkovich-Maslyuk, and Paul Ryan. "Determinant form of correlators in high rank integrable spin chains via separation of variables." Journal of High Energy Physics 2021, no. 5 (2021). http://dx.doi.org/10.1007/jhep05(2021)169.

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Abstract In this paper we take further steps towards developing the separation of variables program for integrable spin chains with $$ \mathfrak{gl}(N) $$ gl N symmetry. By finding, for the first time, the matrix elements of the SoV measure explicitly we were able to compute correlation functions and wave function overlaps in a simple determinant form. In particular, we show how an overlap between on-shell and off-shell algebraic Bethe states can be written as a determinant. Another result, particularly useful for AdS/CFT applications, is an overlap between two Bethe states with different twis
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9

Maillet, Jean Michel, and Giuliano Niccoli. "On quantum separation of variables beyond fundamental representations." SciPost Physics 10, no. 2 (2021). http://dx.doi.org/10.21468/scipostphys.10.2.026.

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We describe the extension, beyond fundamental representations of the Yang-Baxter algebra, of our new construction of separation of variables bases for quantum integrable lattice models. The key idea underlying our approach is to use the commuting conserved charges of the quantum integrable models to generate bases in which their spectral problem is separated, i.e. in which the wave functions are factorized in terms of specific solutions of a functional equation. For the so-called “non-fundamental” models we construct two different types of SoV bases. The first is given from the fundamental qua
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Khavkine, Igor. "Explicit Triangular Decoupling of the Separated Lichnerowicz Tensor Wave Equation on Schwarzschild into Scalar Regge-Wheeler Equations." Symmetry, Integrability and Geometry: Methods and Applications, February 4, 2022. http://dx.doi.org/10.3842/sigma.2022.011.

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We consider the vector and the Lichnerowicz wave equations on the Schwarzschild spacetime, which correspond to the Maxwell and linearized Einstein equations in harmonic gauges (or, respectively, in Lorenz and de Donder gauges). After a complete separation of variables, the radial mode equations form complicated systems of coupled linear ODEs. We outline a precise abstract strategy to decouple these systems into sparse triangular form, where the diagonal blocks consist of spin-s scalar Regge-Wheeler equations (for spins s=0,1,2). Building on the example of the vector wave equation, which we hav
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Dissertations / Theses on the topic "Rotor/spin-wave separation of variables"

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Trifa, Youssef. "Dynamiques de corrélations et d'intrication dans des gaz d'atomes froids." Electronic Thesis or Diss., Lyon, École normale supérieure, 2024. http://www.theses.fr/2024ENSL0018.

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Le problème quantique à N corps, notamment l’étude des propriétés dynamiques d’un système quantique composite est l’un des problèmes les plus durs de la physique moderne, car il y a peu de résultats analytiques et les méthodes numériques exactes requièrent des ressources numériques exponentielles en la taille du système. Dans cette thèse, nous avons étudié la mise en évidence de propriétés de corrélations et d’intrication pour des systèmes d’atomes magnétiques sur réseau, par exemple via la compression de spin. Pour cela nous avons mis au point de nouvelles méthodes numériques approchées, qui
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Conference papers on the topic "Rotor/spin-wave separation of variables"

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Ringwood, John V., and Andrei Ermakov. "Energy-Maximising Control Philosophy for a Cyclorotor Wave Energy Device." In ASME 2022 41st International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2022. http://dx.doi.org/10.1115/omae2022-80990.

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Abstract Recently, cyclorotors, utilizing lift rather than buoyancy forces for energy extraction, have been proposed and inherit many of the appealing features characteristic of modern wind turbines. In particular, the ability to spill energy though foil pitching allows the device to remain at rated power despite significant variations in input power level, while additional cyclorotor features, including variable submergence depth and rotor radius, also permit a significant degree of modulation of the device structure, and energy absorption characteristics, offering considerable flexibility. T
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Radulescu, Victorita. "Modeling the Wind Turbine Profiles Assuring the Maximum Lift Force With Low-Noise Operation for Variable Wind Velocities." In ASME 2018 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/imece2018-86795.

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The paper presents a new solution for the wind turbine profile shape modeling based on the concept of the maximum lift force, capable to be produced at different values of the wind velocities. The profile is designed and realized in accordance with the new concept emerged in the last decade, on the operation of the wind turbines with maximum lifting force. The purpose is to provide a low-noise during operation because a negative effect on the medium and long-term operation of the wind turbines (wind farms) is the noise that affects the flight of birds, terrestrial animal life, and especially h
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