Schrödinger operator, schrödinger equation

Results 71 to 80 of about 3,077 (172)

Spectral statistics of chaotic many-body systems

New Journal of Physics, 2016
We derive a trace formula that expresses the level density of chaotic many-body systems as a smooth term plus a sum over contributions associated to solutions of the nonlinear Schrödinger (or Gross–Pitaevski) equation.
Rémy Dubertrand, Sebastian Müller
doaj +1 more source

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT We give a rigorous proof for the existence of a finite‐energy, self‐similar solution to the focusing cubic Schrödinger equation in three spatial dimensions. The proof is computer‐assisted and relies on a fixed point argument that shows the existence of a solution in the vicinity of a numerically constructed approximation.
Roland Donninger, Birgit Schörkhuber
wiley +1 more source

Parabolic Schrödinger networks

Heliyon
A Schrödinger network Nq={X,ζ,q} is an infinite graph with a set of vertices X and edges that are countably infinite, a transition function ζ(a,b)≥0 and a function q(a) on X. A perturbed Laplace operator Δq is defined as Δql(a)=Δl(a)−q(a)l(a). A solution
Amulya Smyrna C., N. Nathiya
doaj +1 more source

Energy Landscapes in Chemical Reactions and Transport

ChemPhysChem, Volume 26, Issue 6, March 15, 2025.
Kinetics/dynamics of chemical reactivity and transport of chemical species in a solid are both determined by the energy landscape in which they take place. Discussing common grounds but also distinct differences may help in advancing the understanding in both fields.
Karl‐Michael Weitzel
wiley +1 more source

Existence of Nontrivial Solutions for Periodic Schrödinger Equations with New Nonlinearities

Abstract and Applied Analysis, 2014
We study the Schrödinger equation: -Δu+Vxu+fx,u=0, u∈H1(RN), where V is 1-periodic and f is 1-periodic in the x-variables; 0 is in a gap of the spectrum of the operator -Δ+V.
Shaowei Chen, Dawei Zhang
doaj +1 more source

The Virial Expansion of the Hydrogen Equation of State in Comparison to PIMC Simulations: The Quasiparticle Concept, IPD, and Ionization Degree

Contributions to Plasma Physics, EarlyView.
ABSTRACT The properties of plasmas in the low‐density limit are described by virial expansions. Analytical expressions are known for the lowest virial coefficients from Green's function approaches. Recently, accurate path‐integral Monte Carlo (PIMC) simulations were performed for the hydrogen plasma at low densities by Filinov and Bonitz (Phys. Rev.
Gerd Röpke +3 more
wiley +1 more source

Covalent Immobilization of Laccase on Mesoporous Bismuth Silicate for High‐Performance Biodegradation of Contaminants

European Journal of Inorganic Chemistry, EarlyView.
Myceliophthora thermophila laccase covalently immobilized on bismuth silicate (BiSi‐ext) achieved synergistic adsorption–biodegradation of Tectilon Blue 4R‐01 and ibuprofen. The biocatalyst showed enhanced stability, reusability, and rapid pollutant removal via expanded active‐site accessibility, enabling efficient, eco‐friendly wastewater remediation.
Erick Paiva Cancella +6 more
wiley +1 more source

How (not) to Cage an Electron: The Perfluoro Cage Effect as an Extrinsic Molecular Property

Helvetica Chimica Acta, EarlyView.
A rigorous definition within Kohn–Sham density functional theory is presented for the notion of an caged electron inside perfluorinated fullerenes as radical anions. ABSTRACT The notion of a (molecular) electron cage was coined for the unique hosting capacity of perfluorocubane, suggesting the “encapsulation of an electron” within the highly symmetric ...
Andreas Riedmiller +2 more
wiley +1 more source

Potent monoclonal antibodies against multidrug‐resistant hypervirulent Klebsiella pneumoniae

Interdisciplinary Medicine, EarlyView.
A novel immunization strategy using a low‐virulence, multidrug‐resistant strain yields synergistic monoclonal antibodies against hypervirulent Klebsiella pneumoniae. These antibodies provide cross‐serotype protection through a dual‐mechanism of pathogen clearance and immunomodulation, offering a promising non‐antibiotic therapeutic for resistant ...
Yushan Jiang +10 more
wiley +1 more source

Recent Advances in Photonic Bound States in the Continuum: From Fundamentals to Engineering and Implementation

Laser &Photonics Reviews, EarlyView.
This review summarizes recent progress in meta‐photonics with a focus on bound states in the continuum (BICs) as a powerful platform for light confinement and control. It covers fundamental concepts, design strategies across optical regimes, symmetry breaking for practical quasi‐BICs, tunable and AI‐assisted BIC devices, and emerging applications in ...
Hafiz Saad Khaliq, Hak‐Rin Kim
wiley +1 more source

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mathematics