Search results:
Found 7
Listing 1  7 of 7 
Sort by

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, meanfield 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 fullfledged quantum Rabi model. In recent years, novel regimes of light–matter interactions, namely, the ultrastrong and deepstrong 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 photonnumber wave packets, as well as the breakdown of the rotatingwave approximation. Symmetries also play an important role in these regimes and will additionally change depending on whether the few or manyqubit 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 nonMarkovian multiphoton Jaynes–Cummings models, parityassisted generation of nonclassical states of light in circuit quantum electrodynamics, and quasiprobability distribution functions from fractional Fourier transforms.
quasiprobability distribution functions  fractional Fourier transform  reconstruction of the wave function  microwave photons  quantum entanglement  superconducting circuits  circuit quantum electrodynamics  quantum Rabi model  spinboson model  JaynesCummings model  multiphoton processes  quantum simulation  topological excitations  Floquet  dynamical mean field theory  nonequilibrium  starkeffect  semiconductors  light–matter interaction  integrable systems  global spectrum  n/a
Choose an application
This book is focused on fractional order systems. Historically, fractional calculus has been recognized since the inception of regular calculus, with the first written reference dated in September 1695 in a letter from Leibniz to L’Hospital. Nowadays, fractional calculus has a wide area of applications in areas such as physics, chemistry, bioengineering, chaos theory, control systems engineering, and many others. In all those applications, we deal with fractional order systems in general. Moreover, fractional calculus plays an important role even in complex systems and therefore allows us to develop better descriptions of realworld phenomena. On that basis, fractional order systems are ubiquitous, as the whole real world around us is fractional. Due to this reason, it is urgent to consider almost all systems as fractional order systems.
anomalous diffusion  complexity  magnetic resonance imaging  fractional calculus  fractional complex networks  adaptive control  pinning synchronization  timevarying delays  impulses  reaction–diffusion terms  fractional calculus  mass absorption  diffusionwave equation  Caputo derivative  harmonic impact  Laplace transform  Fourier transform  MittagLeffler function  fractional calculus  fractionalorder system  long memory  time series  Hurst exponent  fractional  control  PID  parameter  meaning  audio signal processing  linear prediction  fractional derivative  musical signal  optimal randomness  swarmbased search  cuckoo search  heavytailed distribution  global optimization
Choose an application
In the last few decades, nearinfrared (NIR) spectroscopy has distinguished itself as one of the most rapidly advancing spectroscopic techniques. Mainly known as an analytical tool useful for sample characterization and content quantification, NIR spectroscopy is essential in various other fields, e.g. NIR imaging techniques in biophotonics, medical applications or used for characterization of food products. Its contribution in basic science and physical chemistry should be noted as well, e.g. in exploration of the nature of molecular vibrations or intermolecular interactions. One of the current development trends involves the miniaturization and simplification of instrumentation, creating prospects for the spread of NIR spectrometers at a consumer level in the form of smartphone attachments—a breakthrough not yet accomplished by any other analytical technique. A growing diversity in the related methods and applications has led to a dispersion of these contributions among disparate scientific communities. The aim of this Special Issue was to bring together the communities that may perceive NIR spectroscopy from different perspectives. It resulted in 30 contributions presenting the latest advances in the methodologies essential in nearinfrared spectroscopy in a variety of applications.
hyperspectral imaging  variety discrimination  Chrysanthemum  deep convolutional neural network  DNA  FTIR spectroscopy  rapid identification  PLSDA  animal origin  nearinfrared hyperspectral imaging  raisins  support vector machine  pixelwise  objectwise  maize kernel  hyperspectral imaging technology  accelerated aging  principal component analysis  support vector machine model  standard germination tests  blackberries  Rubus fructicosus  phenolics  carotenoids  bioanalytical applications  near infrared  chemometrics  VIS/NIR hyperspectral imaging  corn seed  classification  freezedamaged  image processing  imaging visualization  wavelength selection  NIR spectroscopy  binary dragonfly algorithm  ensemble learning  quantitative analysis modeling  NIR  SCiO  pocketsized spectrometer  cheese  fat  moisture  multivariate data analysis  Fouriertransform nearinfrared spectroscopy  glucose  fructose  dry matter  partial least square regression  Ewing sarcoma  Fourier transform infrared spectroscopy  FTIR  chemotherapy  bone cancer  calibration transfer  NIR spectroscopy  PLS  quantitative analysis model  melamine  FTIR  NIR spectroscopy  quantum chemical calculation  anharmonic calculation  overtones  combination bands  near infrared spectroscopy  Trichosanthis Fructus  geographical origin  chemometric techniques  crude drugs  prepared slices  support vector machinediscriminant analysis  nearinfrared fluorescence  fluorescent probes  Zn(II)  di(2picolyl)amine  living cells  cellular imaging  nearinfrared (NIR) spectroscopy  calibration transfer  affine invariance  multivariate calibration  partial least squares (PLS)  NIR  direct model transferability  MicroNIR™  SVM  hierSVM  SIMCA  PLSDA  TreeBagger  PLS  calibration transfer  agriculture  photonics  imaging  spectral imaging  spectroscopy  handheld nearinfrared spectroscopy  pasta/sauce blends  partial least squares calibration  nutritional parameters  bootstrapping soft shrinkage  partial least squares  extra virgin olive oil  adulteration  FTNIR spectroscopy  nearinfrared spectroscopy  ethanol  anharmonic quantum mechanical calculations  isotopic substitution  overtones  combinations bands  seeds vitality  rice seeds  nearinfrared spectroscopy  hyperspectral image  discriminant analysis  nearinfrared spectroscopy  counter propagation artificial neural network  detection  auxiliary diagnosis  BRAF V600E mutation  colorectal cancer  tissue  paraffinembedded  deparaffinized  stained  ultrahigh performance liquid chromatography  Folin–Ciocalteu  total hydroxycinnamic derivatives  phytoextraction  nearinfrared spectroscopy  origin traceability  data fusion  Paris polyphylla var. yunnanensis  Fourier transform midinfrared spectroscopy  nearinfrared spectroscopy  aquaphotomics  water  light  near infrared spectroscopy  watermirror approach  perturbation  biomeasurements  biodiagnosis  biomonitoring  Vitis vinifera L.  proximal sensing  precision viticulture  near infrared  chemometrics  nondestructive sensor  NIRS  osteopathy  late preterm  brain  splanchnic  Raman spectroscopy  hyperspectral imaging  analytical spectroscopy  counterfeit and substandard pharmaceuticals  DFT calculations  chemometrics  PLSR  API  lumefantrine  artemether  antimalarial tablets  FTNIR spectroscopy  PLSR  water  glucose  test set validation  RMSEP  hyperspectral image processing  perfusion measurements  clinical classifications  n/a
Choose an application
For the 250th birthday of Joseph Fourier, born in 1768 in Auxerre, France, this MDPI Special Issue will explore modern topics related to Fourier Analysis and Heat Equation. Modern developments of Fourier analysis during the 20th century have explored generalizations of Fourier and Fourier–Plancherel formula for noncommutative harmonic analysis, applied to locallycompact, nonAbelian groups. In parallel, the theory of coherent states and wavelets has been generalized over Lie groups. One should add the developments, over the last 30 years, of the applications of harmonic analysis to the description of the fascinating world of aperiodic structures in condensed matter physics. The notions of model sets, introduced by Y. Meyer, and of almost periodic functions, have revealed themselves to be extremely fruitful in this domain of natural sciences. The name of Joseph Fourier is also inseparable from the study of the mathematics of heat. Modern research on heat equations explores the extension of the classical diffusion equation on Riemannian, subRiemannian manifolds, and Lie groups. In parallel, in geometric mechanics, JeanMarie Souriau interpreted the temperature vector of Planck as a spacetime vector, obtaining, in this way, a phenomenological model of continuous media, which presents some interesting properties. One last comment concerns the fundamental contributions of Fourier analysis to quantum physics: Quantum mechanics and quantum field theory. The content of this Special Issue will highlight papers exploring noncommutative Fourier harmonic analysis, spectral properties of aperiodic order, the hypoelliptic heat equation, and the relativistic heat equation in the context of Information Theory and Geometric Science of Information.
WeylHeisenberg group  affine group  Weyl quantization  Wigner function  covariant integral quantization  Fourier analysis  special functions  rigged Hilbert spaces  quantum mechanics  signal processing  nonFourier heat conduction  thermal expansion  heat pulse experiments  pseudotemperature  GuyerKrumhansl equation  higher order thermodynamics  Lie groups thermodynamics  homogeneous manifold  polysymplectic manifold  dynamical systems  nonequivariant cohomology  Lie group machine learning  SouriauFisher metric  Born–Jordan quantization  shorttime propagators  timeslicing  Van Vleck determinant  thermodynamics  symplectization  metrics  nonequilibrium processes  interconnection  discrete multivariate sine transforms  orthogonal polynomials  cubature formulas  nonequilibrium thermodynamics  variational formulation  nonholonomic constraints  irreversible processes  discrete thermodynamic systems  continuum thermodynamic systems  fourier transform  rigid body motions  partial differential equations  Lévy processes  Lie Groups  homogeneous spaces  stochastic differential equations  harmonic analysis on abstract space  heat equation on manifolds and Lie Groups
Choose an application
Sol–gel technology is a contemporary advancement in science that requires taking a multidisciplinary approach with regard to its various applications. This book highlights some applications of the sol–gel technology, including protective coatings, catalysts, piezoelectric devices, wave guides, lenses, highstrength ceramics, superconductors, synthesis of nanoparticles, and insulating materials. In particular, for biotechnological applications, biomolecules or the incorporation of bioactive substances into the sol–gel matrix has been extensively studied and has been a challenge for many researchers. Some sol–gel materials are widely applied in lightemitting diodes, solar cells, sensing, catalysis, integration in photovoltaic devices, and more recently in biosensing, bioimaging, or medical diagnosis; others can be considered excellent drug delivery systems. The goal of an ideal drug delivery system is the prompt delivery of a therapeutic amount of the drug to the proper site in the body, where the desired drug concentration can be maintained. The interactions between drugs and the sol–gel system can affect the release rate. In conclusion, the sol–gel synthesis method offers mixing at the molecular level and is able to improve the chemical homogeneity of the resulting composite. This opens new doors not only regarding
solgel method  Fourier transform infrared spectroscopy (FTIR) analysis  bioactivity  biocompatibility  sol–gel method  organicinorganic hybrids  chlorogenic acid  cytotoxicity  biocompatibility  silsesquioxanes  thiolene click reaction  in situ water production  hydrophobic coatings  cotton fabric  paper  NMR  wettability  solgel  hollow sphere  1D structure  solgel  thindisk laser  Ybdoped glasses  aluminosilicate glasses  photoluminescence  ultrasonic spray deposition  tungsten oxide  lithium lanthanum titanium oxide  conformal coating  Liion batteries  solgel technique  biomaterials  cell proliferation  cell cycle  one transistor and one resistor (1T1R)  organic thinfilm transistor (OTFT)  resistive random access memory (RRAM)  solgel  lithiumion battery  LiMnxFe(1?x)PO4  carbon coating  pseudodiffusion coefficient  potential step voltammetry  electrochemical impedance spectroscopy  solgel  oxyfluoride glassceramics  nanocrystal  optical properties  solgel method  SiO2–based hybrids  poly(?caprolactone)  TGDSC  TGFTIR  Xray diffraction analysis  computeraided design (CAD)  mechanical analysis  finite element analysis (FEA)  composites  organic–inorganic hybrid materials  biomedical applications  metal oxides  multilayer  surface plasmon resonance  optical sensors  computeraided design (CAD)  mechanical analysis  finite element analysis (FEA)  composites  hybrid materials  biomedical applications
Choose an application
The aim of this special issue is to publish original research papers that cover recent advances in the theory and application of stochastic processes. There is especial focus on applications of stochastic processes as models of dynamic phenomena in various research areas, such as queuing theory, physics, biology, economics, medicine, reliability theory, and financial mathematics. Potential topics include, but are not limited to: Markov chains and processes; large deviations and limit theorems; random motions; stochastic biological model; reliability, availability, maintenance, inspection; queueing models; queueing network models; computational methods for stochastic models; applications to risk theory, insurance and mathematical finance.
measure of information  cumulative inaccuracy  mutual information  lower record values  parabolic equation  Cauchy problem  Monte Carlo method  unbiased estimator  vonNeumann–Ulam scheme  compound poisson insurance risk model  expected discounted penalty function  estimation  Fourier transform  Fouriercosine series  multidimensional birthdeath process  inhomogeneous continuoustime Markov chain  rate of convergence  one dimensional projection  Wiener–Poisson risk model  survival probability  Nonparametric threshold estimation  wet periods  total precipitation volume  asymptotic approximation  extreme order statistics  random sample size  testing statistical hypotheses  queueing systems  rate of convergence  nonstationary  Markovian queueing models  limiting characteristics  queuing network  retrials  statedependent marked Markovian arrival process  wireless telecommunication networks  timedependent queuelength probability  discretetime Geo/D/1 queue  closedform solution  Monte Carlo method  quasiMonte Carlo method  KoksmaHlawka inequality  quasirandom sequences  stochastic processes  processor heating and cooling  markovian arrival process  phasetype service time distribution  impatience  QuasiBirthandDeath process  matrixgeometric solution  truncated distribution  Markovian arrival process  multiclass arrival processes  product form  equitylinked death benefits  Fourier cosine series expansion  guaranteed minimum death benefit  option  valuation  Lévy process  compound Poisson risk model  generalized Gerber–Shiu discounted penalty function  Laplace transform  Dickson–Hipp operator  recursive formula
Choose an application
Researches and investigations involving the theory and applications of integral transforms and operational calculus are remarkably widespread in many diverse areas of the mathematical, physical, chemical, engineering and statistical sciences.
highly oscillatory  convolution quadrature rule  volterra integral equation  Bessel kernel  convergence  higher order Schwarzian derivatives  Janowski starlike function  Janowski convex function  bound on derivatives  tangent numbers  tangent polynomials  Carlitztype qtangent numbers  Carlitztype qtangent polynomials  (p,q)analogue of tangent numbers and polynomials  (p,q)analogue of tangent zeta function  symmetric identities  zeros  Lommel functions  univalent functions  starlike functions  convex functions  inclusion relationships  analytic function  Hankel determinant  exponential function  upper bound  nonlinear boundary value problems  fractionalorder differential equations  RiemannStieltjes functional integral  LiouvilleCaputo fractional derivative  infinitepoint boundary conditions  advanced and deviated arguments  existence of at least one solution  Fredholm integral equation  Schauder fixed point theorem  Hölder condition  generalized Kuramoto–Sivashinsky equation  modified Kudryashov method  exact solutions  Maple graphs  analytic function  Hadamard product (convolution)  partial sum  Srivastava–Tomovski generalization of Mittag–Leffler function  subordination  differential equation  differential inclusion  Liouville–Caputotype fractional derivative  fractional integral  existence  fixed point  Bernoulli spiral  Grandi curves  Chebyshev polynomials  pseudoChebyshev polynomials  orthogonality property  symmetric  encryption  password  hash  cryptography  PBKDF  q–Bleimann–Butzer–Hahn operators  (p,q)integers  (p,q)Bernstein operators  (p,q)Bleimann–Butzer–Hahn operators  modulus of continuity  rate of approximation  Kfunctional  HurwitzLerch zeta function  generalized functions  analytic number theory  ?generalized HurwitzLerch zeta functions  derivative properties  series representation  basic hypergeometric functions  generating functions  qpolynomials  analytic functions  Mittag–Leffler functions  starlike functions  convex functions  Hardy space  vibrating string equation  initial conditions  spectral decomposition  regular solution  the uniqueness of the solution  the existence of a solution  analytic  ?convex function  starlike function  stronglystarlike function  subordination  q Sheffer–Appell polynomials  generating relations  determinant definition  recurrence relation  q Hermite–Bernoulli polynomials  q Hermite–Euler polynomials  q Hermite–Genocchi polynomials  Volterra integral equations  highly oscillatory Bessel kernel  Hermite interpolation  direct Hermite collocation method  piecewise Hermite collocation method  differential operator  qhypergeometric functions  meromorphic function  Mittag–Leffler function  Hadamard product  differential subordination  starlike functions  Bell numbers  radius estimate  (p, q)integers  Dunkl analogue  generating functions  generalization of exponential function  Szász operator  modulus of continuity  function spaces and their duals  distributions  tempered distributions  Schwartz testing function space  generalized functions  distribution space  wavelet transform of generalized functions  Fourier transform  analytic function  subordination  Dziok–Srivastava operator  nonlinear boundary value problem  nonlocal  multipoint  multistrip  existence  Ulam stability  functions of bounded boundary and bounded radius rotations  subordination  functions with positive real part  uniformly starlike and convex functions  analytic functions  univalent functions  starlike and qstarlike functions  qderivative (or qdifference) operator  sufficient conditions  distortion theorems  Janowski functions  analytic number theory  ?generalized Hurwitz–Lerch zeta functions  derivative properties  recurrence relations  integral representations  Mellin transform  natural transform  Adomian decomposition method  Caputo fractional derivative  generalized mittagleffler function  analytic functions  Hadamard product  starlike functions  qderivative (or qdifference) operator  Hankel determinant  qstarlike functions  fuzzy volterra integrodifferential equations  fuzzy general linear method  fuzzy differential equations  generalized Hukuhara differentiability  spectrum symmetry  DCT  MFCC  audio features  anuran calls  analytic functions  convex functions  starlike functions  strongly convex functions  strongly starlike functions  uniformly convex functions  Struve functions  truncatedexponential polynomials  monomiality principle  generating functions  Apostoltype polynomials and Apostoltype numbers  Bernoulli, Euler and Genocchi polynomials  Bernoulli, Euler, and Genocchi numbers  operational methods  summation formulas  symmetric identities  Euler numbers and polynomials  qEuler numbers and polynomials  HurwitzEuler eta function  multiple HurwitzEuler eta function  higher order qEuler numbers and polynomials  (p, q)Euler numbers and polynomials of higher order  symmetric identities  symmetry of the zero
Listing 1  7 of 7 
Sort by
