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This Special Issue focuses on recent progress in a new area of mathematical physics and applied analysis, namely, on nonlinear partial differential equations on metric graphs and branched networks. Graphs represent a system of edges connected at one or more branching points (vertices). The connection rule determines the graph topology. When the edges can be assigned a length and the wave functions on the edges are defined in metric spaces, the graph is called a metric graph. Evolution equations on metric graphs have attracted much attention as effective tools for the modeling of particle and wave dynamics in branched structures and networks. Since branched structures and networks appear in different areas of contemporary physics with many applications in electronics, biology, material science, and nanotechnology, the development of effective modeling tools is important for the many practical problems arising in these areas. The list of important problems includes searches for standing waves, exploring of their properties (e.g., stability and asymptotic behavior), and scattering dynamics. This Special Issue is a representative sample of the works devoted to the solutions of these and other problems.
quantum graphs  nonlinear Schrödinger equation  standing waves  metric graphs  NLS  NLD  ground states  bound states  localized nonlinearity  nonrelativistic limit  quantum graphs  nonlinear Schrödinger equation  nodal structure  soliton  breather  sineGordon equation  Schrödinger equation  star graph  quantum graph  metric graphs  scaling limit  Kre?n formula  point interactions  metric graphs  open sets converging to metric graphs  Laplacians  norm convergence of operators  convergence of spectra  networks  nonlinear shallow water equations  nonlinear wave equations
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This Special Issue covers a wide range of topics from fundamental studies to applications of ionized gases. It is dedicated to four topics of interest: 1. ATOMIC COLLISION PROCESSES (electron and photon interactions with atomic particles, heavy particle collisions, swarms, and transport phenomena); 2. PARTICLE AND LASER BEAM INTERACTION WITH SOLIDS (atomic collisions in solids, sputtering and deposition, and laser and plasma interactions with surfaces); 3. LOW TEMPERATURE PLASMAS (plasma spectroscopy and other diagnostic methods, gas discharges, and plasma applications and devices); 4. GENERAL PLASMAS (fusion plasmas, astrophysical plasmas, and collective phenomena). This Special Issue of Atoms will highlight the need for continued research on ionized gas physics in different topics ranging from fundamental studies to applications, and will review current investigations.
strongfield physics  attoscience  bicircular field  highorder harmonic generation  abovethreshold ionization  spinpolarized electrons  capacitivelycoupled discharge  oxygen  particleincell/Monte Carlo collision  electron heating  secondary electron emission  Large Helical Device (LHD)  deuterium experiment  ion temperature of 10 keV  plasma research  spectroscopic study  dispersion interferometer  modified theories of gravity  methods: analytical  methods: numerical  galaxies: elliptical  galaxies: fundamental parameters  nonequilibrium  collisions  radiation  planetary atmospheric entry  laser matter interaction  laserinduced breakdown  plasma  spectroscopy  streak camera  plasma  spectral lines  Stark broadening  oxygen  silicon  spectroscopy  gas discharges  plasma applications  databases  virtual observatory  cross sections  rate coefficients  runway electron  plasma current  fusion plasma  tokamak  glow discharge  argon  nitrogen admixture  discharge voltage  diffuse discharge  constricted discharge  electrical theory of DBDs  QVplot  instantaneous power  rainbow scattering  positron channeling effect  timedependent Schrödinger equation  chiral single wall carbon nanotubes  black hole physics  cosmology  quasar spectroscopy  cosmological parameters  ionized gas  broad line region  Rydberg atoms  dynamic instability  control of atomic states  Förster resonance  plasma spectroscopy  Stark broadening  plasma diagnostics  line shape modeling  ZeemanDoppler broadening  Balmer line series  radiative recombination  photoacoustic  photothermal  inverse problem  thermal memory  minimum volume cell  neural networks  thermal diffusivity  conductivity  linear coefficient of thermal extension  AGN  black holes  gravitational waves  binary black holes  quasars  photodetachment  magnetically confined fusion  neutral beam injection  plasma heating  optical cavity amplification  lowenergy electrons  electron–molecule interactions  astrochemistry  laboratory plasma  astrophysical plasma  fusion plasma  lasers  stars  extragalactic objects  spectra  spectroscopy  scaling laws
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Emergent quantum mechanics explores the possibility of an ontology for quantum mechanics. The resurgence of interest in ""deeperlevel"" theories for quantum phenomena challenges the standard, textbook interpretation. The book presents expert views that critically evaluate the significance—for 21st century physics—of ontological quantum mechanics, an approach that David Bohm helped pioneer. The possibility of a deterministic quantum theory was first introduced with the original de BroglieBohm theory, which has also been developed as Bohmian mechanics. The wide range of perspectives that were contributed to this book on the occasion of David Bohm’s centennial celebration provide ample evidence for the physical consistency of ontological quantum mechanics. The book addresses deeperlevel questions such as the following: Is reality intrinsically random or fundamentally interconnected? Is the universe local or nonlocal? Might a radically new conception of reality include a form of quantum causality or quantum ontology? What is the role of the experimenter agent? As the book demonstrates, the advancement of ‘quantum ontology’—as a scientific concept—marks a clear break with classical reality. The search for quantum reality entails unconventional causal structures and nonclassical ontology, which can be fully consistent with the known record of quantum observations in the laboratory.
quantum foundations  nonlocality  retrocausality  Bell’s theorem  Bohmian mechanics  quantum theory  surrealistic trajectories  Bell inequality  quantum mechanics  generalized Lagrangian paths  covariant quantum gravity  emergent spacetime  Gaussianlike solutions  entropy and time evolution  resonances in quantum systems  the Friedrichs model  complex entropy.  Bell’s theorem  the causal arrow of time  retrocausality  superdeterminism  toymodels  quantum ontology  subquantum dynamics  microconstituents  emergent spacetime  emergent quantum gravity  entropic gravity  black hole thermodynamics  SternGerlach  trajectories  spin  Bell theorem  fractal geometry  padic metric  singular limit  gravity  conspiracy  free will  number theory  quantum potential  Feynman paths  weak values  Bohm theory  nohiddenvariables theorems  observables  measurement problem  Bohmian mechanics  primitive ontology  Retrocausation  weak values  Stochastic Electrodynamics  quantum mechanics  decoherence  interpretations  pilotwave theory  Bohmian mechanics  Born rule statistics  measurement problem  quantum thermodynamics  strong coupling  operator thermodynamic functions  quantum theory  de Broglie–Bohm theory  contextuality  atomsurface scattering  bohmian mechanics  matterwave optics  diffraction  vortical dynamics  Schrödinger equation  de Broglie–Bohm theory  nonequilibrium thermodynamics  zeropoint field  de Broglie–Bohm interpretation of quantum mechanics  pilot wave  interiorboundary condition  ultraviolet divergence  quantum field theory  Aharonov–Bohm effect  physical ontology  nomology  interpretation  gauge freedom  Canonical Presentation  relational space  relational interpretation of quantum mechanics  measurement problem  nonlocality  discrete calculus  iterant  commutator  diffusion constant  LeviCivita connection  curvature tensor  constraints  Kilmister equation  Bianchi identity  stochastic differential equations  Monte Carlo simulations  Burgers equation  Langevin equation  fractional velocity  interpretations of quantum mechanics  David Bohm  mind–body problem  quantum holism  fundamental irreversibility  spacetime fluctuations  spontaneous state reduction  Poincaré recurrence  symplectic camel  quantum mechanics  Hamiltonian  molecule interference  matterwaves  metrology  magnetic deflectometry  photochemistry  past of the photon  Mach–Zehnder interferometer  Dove prism  photon trajectory  weak measurement  transition probability amplitude  atomic metastable states  Bell’s theorem  Bohmian mechanics  nonlocality  many interacting worlds  wavefunction nodes  bouncing oil droplets  stochastic quantum dynamics  de Broglie–Bohm theory  quantum nonequilibrium  Htheorem  ergodicity  ontological quantum mechanics  objective nonsignaling constraint  quantum inaccessibility  epistemic agent  emergent quantum state  selfreferential dynamics  dynamical chaos  computational irreducibility  undecidable dynamics  Turing incomputability  quantum ontology  nonlocality  timesymmetry  retrocausality  quantum causality  conscious agent  emergent quantum mechanics  Bohmian mechanics  de BroglieBohm theory
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