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## Search Articles

2016, Graduate studies in mathematics, ISBN 9780821848418, Volume 172, xi, 461

Random matrices (probabilistic aspects; for algebraic aspects see 15B52) | Equations of mathematical physics and other areas of application | Partial differential equations | Approximations and expansions | Probability theory and stochastic processes | Special matrices | Operator theory | Probability theory on algebraic and topological structures | Riemann-Hilbert problems | Exact enumeration problems, generating functions | Convex and discrete geometry | Special classes of linear operators | Combinatorics | Asymptotic approximations, asymptotic expansions (steepest descent, etc.) | Time-dependent statistical mechanics (dynamic and nonequilibrium) | Enumerative combinatorics | Exactly solvable dynamic models | Linear and multilinear algebra; matrix theory | Special processes | Statistical mechanics, structure of matter | Toeplitz operators, Hankel operators, Wiener-Hopf operators | Tilings in $2$ dimensions | Interacting random processes; statistical mechanics type models; percolation theory | Discrete geometry | Random matrices | Combinatorial analysis

Book

Annalen der Physik (1900), ISSN 1521-3889, 11/2018, Volume 530, Issue 12, pp. 1800198 - n/a

The exact quantum dynamics of a single spin‐1/2 in a generic time‐dependent classical magnetic field are investigated and compared with the quantum motion of a spin...

exactly solvable time‐dependent models | semiclassical Rabi model | exact single‐qubit dynamics | exact single-qubit dynamics | exactly solvable time-dependent models | Physics, Multidisciplinary | Physical Sciences | Physics | Science & Technology | Oscillations | Time dependence | Spin dynamics | Eigenvectors | Magnetic fields | Magnetic resonance | Physics - Quantum Physics

exactly solvable time‐dependent models | semiclassical Rabi model | exact single‐qubit dynamics | exact single-qubit dynamics | exactly solvable time-dependent models | Physics, Multidisciplinary | Physical Sciences | Physics | Science & Technology | Oscillations | Time dependence | Spin dynamics | Eigenvectors | Magnetic fields | Magnetic resonance | Physics - Quantum Physics

Journal Article

3.
Full Text
Solvable model of the collective motion of heterogeneous particles interacting on a sphere

New journal of physics, ISSN 1367-2630, 02/2014, Volume 16, Issue 2, pp. 23016 - 21

.... I derive the dynamics of the particles by extending the dynamics of the Kuramoto-Sakaguchi model...

Physics, Multidisciplinary | Physical Sciences | Physics | Science & Technology | Ordinary differential equations | Transformations (mathematics) | Differential equations | State variable | Dynamics | Mathematical analysis | Particles (of physics) | Exact solutions | Projection | Transformations | Vectors (mathematics)

Physics, Multidisciplinary | Physical Sciences | Physics | Science & Technology | Ordinary differential equations | Transformations (mathematics) | Differential equations | State variable | Dynamics | Mathematical analysis | Particles (of physics) | Exact solutions | Projection | Transformations | Vectors (mathematics)

Journal Article

Physical review letters, ISSN 1079-7114, 01/2019, Volume 122, Issue 1, pp. 010401 - 010401

.... We study the spectral properties of the model in the large-s limit using a semiclassical quantization condition and show that the spectral density may diverge along certain curves in the complex plane...

Physics, Multidisciplinary | Physical Sciences | Physics | Science & Technology | Spin dynamics | Properties (attributes) | Decay rate | Markov processes | Spectra | Phase transitions | Steady state

Physics, Multidisciplinary | Physical Sciences | Physics | Science & Technology | Spin dynamics | Properties (attributes) | Decay rate | Markov processes | Spectra | Phase transitions | Steady state

Journal Article

New journal of physics, ISSN 1367-2630, 09/2016, Volume 18, Issue 9, p. 093002

.... These models are exactly solvable and provide useful insight in the universal description of more complex systems as well as comparisons to the known universal upper bounds for the spreading of correlations...

LiebRobinson bound | long-range many body quantum systems | spreading of correlations | exactly solvable models | out-of-equilibrium dynamics | Physics, Multidisciplinary | Physical Sciences | Physics | Science & Technology | Divergence | Numerical integration | Energy spectra | Particle decay | Complex systems | Dynamic tests | Group velocity | Algebra | Condensed matter | Upper bounds | Correlation analysis | Alpha decay | Particle energy | Ising model | Hamiltonian functions | Physics - Statistical Mechanics | Strongly Correlated Electrons | Condensed Matter | Quantum Gases

LiebRobinson bound | long-range many body quantum systems | spreading of correlations | exactly solvable models | out-of-equilibrium dynamics | Physics, Multidisciplinary | Physical Sciences | Physics | Science & Technology | Divergence | Numerical integration | Energy spectra | Particle decay | Complex systems | Dynamic tests | Group velocity | Algebra | Condensed matter | Upper bounds | Correlation analysis | Alpha decay | Particle energy | Ising model | Hamiltonian functions | Physics - Statistical Mechanics | Strongly Correlated Electrons | Condensed Matter | Quantum Gases

Journal Article

Chaos, solitons and fractals, ISSN 0960-0779, 02/2020, Volume 131, p. 109471

....•We study effects of the respective Lévy index on the solitons’ dynamics.•In particular, dependence of stability domains in the model's parameter space...

Dissipative solitons | Fractional complex Ginzburg-Landau equation | Effective diffusion | Mathematics, Interdisciplinary Applications | Physical Sciences | Physics, Mathematical | Physics, Multidisciplinary | Mathematics | Physics | Science & Technology

Dissipative solitons | Fractional complex Ginzburg-Landau equation | Effective diffusion | Mathematics, Interdisciplinary Applications | Physical Sciences | Physics, Mathematical | Physics, Multidisciplinary | Mathematics | Physics | Science & Technology

Journal Article

Symmetry, integrability and geometry, methods and applications, ISSN 1815-0659, 10/2013, Volume 9, p. 059

The class of solvable many-body problems "of goldfish type" is extended by including...

N-body problems | Isochronous systems | Partial differential equations | Many-body problems | Physical Sciences | Physics | Physics, Mathematical | Science & Technology | many-body problems | partial differential equations | isochronous systems

N-body problems | Isochronous systems | Partial differential equations | Many-body problems | Physical Sciences | Physics | Physics, Mathematical | Science & Technology | many-body problems | partial differential equations | isochronous systems

Journal Article

Nature communications, ISSN 2041-1723, 02/2017, Volume 8, Issue 1, pp. 14569 - 14569

.... To date, the dynamics of breather solitons in microresonators remains largely unexplored, and its experimental characterization is challenging...

Science & Technology - Other Topics | Multidisciplinary Sciences | Science & Technology | Physics - Optics

Science & Technology - Other Topics | Multidisciplinary Sciences | Science & Technology | Physics - Optics

Journal Article

Journal of physics. A, Mathematical and theoretical, ISSN 1751-8113, 06/2016, Volume 49, Issue 31, p. 31

...: for any ensemble size its dynamics reduce to equations for three collective variables. Here we develop a perturbation approach for weakly nonidentical ensembles...

integrability | Kuramoto model | oscillator populations | perturbationtheory | Physics, Multidisciplinary | Physical Sciences | Physics | Physics, Mathematical | Science & Technology

integrability | Kuramoto model | oscillator populations | perturbationtheory | Physics, Multidisciplinary | Physical Sciences | Physics | Physics, Mathematical | Science & Technology

Journal Article

Physical review. B, ISSN 2469-9950, 02/2020, Volume 101, Issue 5, p. 1

We develop a method for finding the time evolution of exactly solvable models by Bethe ansatz, with Hilbert space linear in excitation number...

Physical Sciences | Materials Science | Technology | Materials Science, Multidisciplinary | Physics, Condensed Matter | Physics | Science & Technology | Physics, Applied | Dynamic tests | Nonlinear equations | Parameters | Exact solutions | Differential equations | Mathematical models | Dimers | Hilbert space | Wave functions

Physical Sciences | Materials Science | Technology | Materials Science, Multidisciplinary | Physics, Condensed Matter | Physics | Science & Technology | Physics, Applied | Dynamic tests | Nonlinear equations | Parameters | Exact solutions | Differential equations | Mathematical models | Dimers | Hilbert space | Wave functions

Journal Article

Journal of physics. A, Mathematical and theoretical, ISSN 1751-8121, 06/2009, Volume 42, Issue 24, pp. 242001 - 242001 (10)

An infinite family of exactly solvable and integrable potentials on a plane is introduced...

Physics, Multidisciplinary | Physical Sciences | Physics | Physics, Mathematical | Science & Technology

Physics, Multidisciplinary | Physical Sciences | Physics | Physics, Mathematical | Science & Technology

Journal Article

Physica. D, ISSN 0167-2789, 03/2015, Volume 297, pp. 76 - 87

.... A dynamical energy cascade model of this process originally proposed for the focusing NLS-type equations is transposed to the mKdV setting using the existing connections between the KdV-type and NLS-type equations...

Modified KdV equation | Modulational instability | NLS equation | Energy cascade | Korteweg–de Vries equation | Korteweg-de Vries equation | Physical Sciences | Physics, Fluids & Plasmas | Physics, Mathematical | Physics, Multidisciplinary | Mathematics | Mathematics, Applied | Physics | Science & Technology | Analysis | Numerical analysis | Fluid Dynamics | Computational Physics | Earth Sciences | Pattern Formation and Solitons | Analysis of PDEs | Geophysics | Nonlinear Sciences | Sciences of the Universe | General Mathematics | Chaotic Dynamics | Atmospheric and Oceanic Physics | Numerical Analysis | Mechanics | Mechanics of the fluids | General Physics | Fluids mechanics | Engineering Sciences | Exactly Solvable and Integrable Systems | Environmental Sciences | Global Changes

Modified KdV equation | Modulational instability | NLS equation | Energy cascade | Korteweg–de Vries equation | Korteweg-de Vries equation | Physical Sciences | Physics, Fluids & Plasmas | Physics, Mathematical | Physics, Multidisciplinary | Mathematics | Mathematics, Applied | Physics | Science & Technology | Analysis | Numerical analysis | Fluid Dynamics | Computational Physics | Earth Sciences | Pattern Formation and Solitons | Analysis of PDEs | Geophysics | Nonlinear Sciences | Sciences of the Universe | General Mathematics | Chaotic Dynamics | Atmospheric and Oceanic Physics | Numerical Analysis | Mechanics | Mechanics of the fluids | General Physics | Fluids mechanics | Engineering Sciences | Exactly Solvable and Integrable Systems | Environmental Sciences | Global Changes

Journal Article

Journal of statistical physics, ISSN 0022-4715, 2/2014, Volume 154, Issue 3, pp. 895 - 911

We introduce a class of new integrable lattice models labeled by a pair of positive integers N and r...

Yang-Baxter equation | Supersymmetric gauge theories | Physical Chemistry | Theoretical, Mathematical and Computational Physics | Exactly solvable models | Quantum Physics | Statistical Physics, Dynamical Systems and Complexity | Physics | Physical Sciences | Physics, Mathematical | Science & Technology

Yang-Baxter equation | Supersymmetric gauge theories | Physical Chemistry | Theoretical, Mathematical and Computational Physics | Exactly solvable models | Quantum Physics | Statistical Physics, Dynamical Systems and Complexity | Physics | Physical Sciences | Physics, Mathematical | Science & Technology

Journal Article

Journal of physics. A, Mathematical and theoretical, ISSN 1751-8113, 07/2016, Volume 49, Issue 32, p. 323005

We give a pedagogical introduction to the thermodynamic Bethe ansatz, a method that allows us to describe the thermodynamics of integrable models whose spectrum is found via the (asymptotic) Bethe ansatz...

thermodynamic Bethe ansatz | integrable models | review | introduction | Physics, Multidisciplinary | Physical Sciences | Physics | Physics, Mathematical | Science & Technology

thermodynamic Bethe ansatz | integrable models | review | introduction | Physics, Multidisciplinary | Physical Sciences | Physics | Physics, Mathematical | Science & Technology

Journal Article