Listing 1 - 6 of 6 |
Sort by
|
Choose an application
In this work we explore the Floquet theory for evolution equations of the form u'(t)+A_t u(t)=0 (t real) where the operators A_t periodically depend on t and the function u takes values in a UMD Banach space X.We impose a suitable condition on the operator family (A_t) and their common domain, in particular a decay condition for certain resolvents, to obtain the central result that all exponentially bounded solutions can be described as a superposition of a fixed family of Floquet solutions.
Bloch solution --- Lp setting --- Floquet theory --- periodic evolution equation --- superposition principle
Choose an application
The development of lasers capable of producing high-intensity pulses has opened a new area in the study of light-matter interactions. The corresponding laser fields are strong enough to compete with the Coulomb forces in controlling the dynamics of atomic systems and give rise to multiphoton processes. This book presents a unified account of this rapidly developing field of physics. The first part describes the fundamental phenomena occurring in intense laser-atom interactions and gives the basic theoretical framework to analyze them. The second part contains a detailed discussion of Floquet theory, the numerical integration of the wave equations and approximation methods for the low- and high-frequency regimes. In the third part, the main multiphoton processes are discussed: multiphoton ionization, high harmonic and attosecond pulse generation, and laser-assisted electron-atom collisions. Aimed at graduate students in atomic, molecular and optical physics, the book will also interest researchers working on laser interactions with matter.
Electron-atom collisions. --- Floquet theory. --- Laser pulses, Ultrashort. --- Multiphoton processes. --- Multiphoton ionization. --- Photoionization --- Multiple photon processes --- Processes, Multiphoton --- Excited state chemistry --- Lasers in chemistry --- Photochemistry --- Quantum electrodynamics --- Quantum optics --- Laser pulses, Picosecond --- Light pulses, Picosecond --- Light pulses, Ultrashort --- Picosecond laser pulses --- Picosecond light pulses --- Ultrashort laser pulses --- Ultrashort light pulses --- Laser beams --- Pulse techniques (Electronics) --- Picosecond pulses --- Floquet-Lyapunov theorem --- Floquet's theorem --- Differential equations --- Atom-electron collisions --- Atom-electron interactions --- Electron-atom interactions --- Collisions (Nuclear physics)
Choose an application
Prototypical quantum optics models, such as the Jaynes–Cummings, Rabi, Tavis–Cummings, and Dicke models, are commonly analyzed with diverse techniques, including analytical exact solutions, mean-field theory, exact diagonalization, and so on. Analysis of these systems strongly depends on their symmetries, ranging, e.g., from a U(1) group in the Jaynes–Cummings model to a Z2 symmetry in the full-fledged quantum Rabi model. In recent years, novel regimes of light–matter interactions, namely, the ultrastrong and deep-strong coupling regimes, have been attracting an increasing amount of interest. The quantum Rabi and Dicke models in these exotic regimes present new features, such as collapses and revivals of the population, bounces of photon-number wave packets, as well as the breakdown of the rotating-wave approximation. Symmetries also play an important role in these regimes and will additionally change depending on whether the few- or many-qubit systems considered have associated inhomogeneous or equal couplings to the bosonic mode. Moreover, there is a growing interest in proposing and carrying out quantum simulations of these models in quantum platforms such as trapped ions, superconducting circuits, and quantum photonics. In this Special Issue Reprint, we have gathered a series of articles related to symmetry in quantum optics models, including the quantum Rabi model and its symmetries, Floquet topological quantum states in optically driven semiconductors, the spin–boson model as a simulator of non-Markovian multiphoton Jaynes–Cummings models, parity-assisted generation of nonclassical states of light in circuit quantum electrodynamics, and quasiprobability distribution functions from fractional Fourier transforms.
microwave photons --- n/a --- circuit quantum electrodynamics --- fractional Fourier transform --- spin-boson model --- reconstruction of the wave function --- multiphoton processes --- quantum entanglement --- topological excitations --- Floquet --- light–matter interaction --- semiconductors --- quasiprobability distribution functions --- dynamical mean field theory --- global spectrum --- superconducting circuits --- Jaynes-Cummings model --- quantum Rabi model --- quantum simulation --- non-equilibrium --- stark-effect --- integrable systems --- light-matter interaction
Choose an application
This book offers the first comprehensive introduction to wave scattering in nonstationary materials. G. F. Roach's aim is to provide an accessible, self-contained resource for newcomers to this important field of research that has applications across a broad range of areas, including radar, sonar, diagnostics in engineering and manufacturing, geophysical prospecting, and ultrasonic medicine such as sonograms. New methods in recent years have been developed to assess the structure and properties of materials and surfaces. When light, sound, or some other wave energy is directed at the material in question, "imperfections" in the resulting echo can reveal a tremendous amount of valuable diagnostic information. The mathematics behind such analysis is sophisticated and complex. However, while problems involving stationary materials are quite well understood, there is still much to learn about those in which the material is moving or changes over time. These so-called non-autonomous problems are the subject of this fascinating book. Roach develops practical strategies, techniques, and solutions for mathematicians and applied scientists working in or seeking entry into the field of modern scattering theory and its applications. Wave Scattering by Time-Dependent Perturbations is destined to become a classic in this rapidly evolving area of inquiry.
Waves --- Scattering (Physics) --- Perturbation (Mathematics) --- Perturbation equations --- Perturbation theory --- Approximation theory --- Dynamics --- Functional analysis --- Mathematical physics --- Atomic scattering --- Atoms --- Nuclear scattering --- Particles (Nuclear physics) --- Scattering of particles --- Wave scattering --- Collisions (Nuclear physics) --- Particles --- Collisions (Physics) --- Cycles --- Hydrodynamics --- Benjamin-Feir instability --- Mathematics. --- Scattering --- Acoustic wave equation. --- Acoustic wave. --- Affine space. --- Angular frequency. --- Approximation. --- Asymptotic analysis. --- Asymptotic expansion. --- Banach space. --- Basis (linear algebra). --- Bessel's inequality. --- Boundary value problem. --- Bounded operator. --- C0-semigroup. --- Calculation. --- Characteristic function (probability theory). --- Classical physics. --- Codimension. --- Coefficient. --- Continuous function (set theory). --- Continuous function. --- Continuous spectrum. --- Convolution. --- Differentiable function. --- Differential equation. --- Dimension (vector space). --- Dimension. --- Dimensional analysis. --- Dirac delta function. --- Dirichlet problem. --- Distribution (mathematics). --- Duhamel's principle. --- Eigenfunction. --- Eigenvalues and eigenvectors. --- Electromagnetism. --- Equation. --- Existential quantification. --- Exponential function. --- Floquet theory. --- Fourier inversion theorem. --- Fourier series. --- Fourier transform. --- Fredholm integral equation. --- Frequency domain. --- Helmholtz equation. --- Hilbert space. --- Initial value problem. --- Integral equation. --- Integral transform. --- Integration by parts. --- Inverse problem. --- Inverse scattering problem. --- Lebesgue measure. --- Linear differential equation. --- Linear map. --- Linear space (geometry). --- Locally integrable function. --- Longitudinal wave. --- Mathematical analysis. --- Mathematical physics. --- Metric space. --- Operator theory. --- Ordinary differential equation. --- Orthonormal basis. --- Orthonormality. --- Parseval's theorem. --- Partial derivative. --- Partial differential equation. --- Phase velocity. --- Plane wave. --- Projection (linear algebra). --- Propagator. --- Quantity. --- Quantum mechanics. --- Reflection coefficient. --- Requirement. --- Riesz representation theorem. --- Scalar (physics). --- Scattering theory. --- Scattering. --- Scientific notation. --- Self-adjoint operator. --- Self-adjoint. --- Series expansion. --- Sine wave. --- Spectral method. --- Spectral theorem. --- Spectral theory. --- Square-integrable function. --- Subset. --- Theorem. --- Theory. --- Time domain. --- Time evolution. --- Unbounded operator. --- Unitarity (physics). --- Vector space. --- Volterra integral equation. --- Wave function. --- Wave packet. --- Wave propagation.
Choose an application
Recent trends in vehicle engineering are testament to the great efforts that scientists and industries have made to seek solutions to enhance both the performance and safety of vehicular systems. This Special Issue aims to contribute to the study of modern vehicle dynamics, attracting recent experimental and in-simulation advances that are the basis for current technological growth and future mobility. The area involves research, studies, and projects derived from vehicle dynamics that aim to enhance vehicle performance in terms of handling, comfort, and adherence, and to examine safety optimization in the emerging contexts of smart, connected, and autonomous driving.This Special Issue focuses on new findings in the following topics:(1) Experimental and modelling activities that aim to investigate interaction phenomena from the macroscale, analyzing vehicle data, to the microscale, accounting for local contact mechanics; (2) Control strategies focused on vehicle performance enhancement, in terms of handling/grip, comfort and safety for passengers, motorsports, and future mobility scenarios; (3) Innovative technologies to improve the safety and performance of the vehicle and its subsystems; (4) Identification of vehicle and tire/wheel model parameters and status with innovative methodologies and algorithms; (5) Implementation of real-time software, logics, and models in onboard architectures and driving simulators; (6) Studies and analyses oriented toward the correlation among the factors affecting vehicle performance and safety; (7) Application use cases in road and off-road vehicles, e-bikes, motorcycles, buses, trucks, etc.
tire model parameters identification --- artificial neural networks --- curve fitting --- Pacejka’s magic formula --- intelligent vehicles --- autonomous vehicles --- microscopic traffic simulation --- autonomous driving --- friction estimate --- tire-based control --- ADAS --- potential friction --- energy consumption and recovery --- transmission layouts --- fuel-cell electric vehicles --- adhesion enhancement --- dimple model --- patterned surfaces --- viscoelasticity --- enhancement --- articulated vehicles --- stability analysis --- nonlinear dynamic model --- snake instability --- eigenvalue analysis --- central control --- non-linear model-based predictive control --- pitch behavior --- predictive control --- roll behavior --- self-steering behavior --- vehicle dynamics --- viscoelastic modulus --- rubber --- friction --- empirical modeling --- autonomous emergency steering --- multi-input multi-output model predictive control --- actuator dynamics --- control allocation --- handling enhancement --- road friction --- wear --- tyre --- suspension --- semi-active --- handling --- comfort --- optimisation --- directional stability --- road profile --- road unevenness --- vehicle-road interaction --- vertical vehicle excitation --- tire models --- tire tread --- motorcycle --- rider --- screw axis --- weave --- wobble --- multibody --- gravel pavement --- roughness --- straightedge --- power spectral density --- international roughness index --- vehicle response --- driving comfort --- sky-hook --- in-wheel motor --- semi-active suspension --- quarter-car model --- suspension performance --- suspension test bench --- vehicle stability --- road models --- quarter car models --- limit cycles --- acceleration speed portraits --- speed oscillations --- velocity bifurcations --- noisy limit cycles --- limit flows of trajectories --- Sommerfeld effects --- differential-algebraic systems --- polar coordinates of roads --- covariance equations --- stability in mean --- supercritical speeds --- analytical travel speed amplitudes --- Floquet theory applied to limit cycles --- non-pneumatic tire --- finite element analysis --- steady state analysis --- tire characterization --- footprint --- contact patch --- longitudinal interaction --- n/a --- Pacejka's magic formula
Choose an application
The renewable generation system is currently experiencing rapid growth in various power grids. The stability and dynamic response issues of power grids are receiving attention due to the increase in power electronics-based renewable energy. The main focus of this Special Issue is to provide solutions for power system planning and operation. Power electronics-based devices can offer new ancillary services to several industrial sectors. In order to fully include the capability of power conversion systems in the network integration of renewable generators, several studies should be carried out, including detailed studies of switching circuits, and comprehensive operating strategies for numerous devices, consisting of large-scale renewable generation clusters.
isolated microgrid --- renewable energy source --- diesel generator --- battery energy storage system --- hierarchical control --- power systems --- floquet multiplier --- poincaré map --- time series data --- DFIG --- renewable energy --- battery energy storage system (BESS) --- control strategy --- modular multilevel converter --- state-of-charge (SOC) equalization --- preliminary design --- optimization --- rotor loss --- guide vane outlet flow angle --- radial turbine --- CAES --- deadbeat control --- discrete space vector modulation --- computation efficiency --- model predictive control --- grid connected system --- three-level system --- T-type inverter --- PV diagnosis --- ESS application --- DC power flow --- DC system dynamics --- hybrid generation system --- phase-locked loop (PLL) --- synchronization --- hybrid filter --- low-cost hybrid converter --- bi-directional converter --- parallel configuration of converters --- converter for multi-MW wind generator --- offshore wind energy converter applications --- AC-DC matrix converter --- virtual space vector --- DC ripple reduction --- microgeneration --- solar energy --- photovoltaic --- crowd funding --- solid-state circuit breaker --- microgrid protection --- DC protection --- SSCB --- short-term load forecasting --- two-stage forecasting model --- combined cooling heating and power --- energy operation plan --- economic analysis --- calculation load --- iterative methods --- fault restoration --- distribution generation --- temporary fault ride-through --- voltage control --- inrush current control
Listing 1 - 6 of 6 |
Sort by
|