Results 41 to 50 of about 48,968 (172)

Refined semiclassical asymptotics for fractional powers of the Laplace operator [PDF]

Journal für die reine und angewandte Mathematik (Crelles Journal), 2014
Abstract We consider the fractional Laplacian on a domain and investigate the asymptotic behavior of its eigenvalues. Extending methods from semi-classical analysis we are able to prove a two-term formula for the sum of eigenvalues with the leading (Weyl) term given by the volume and the subleading term by the surface area.
Frank, Rupert L., Geisinger, Leander
openaire   +3 more sources

From Cages to Sheets: Computational Elucidation of Methylaluminoxane Structure and Reactivity

ChemPlusChem, Volume 91, Issue 8, August 2026.
Methylaluminoxane (MAO), the dominant cocatalyst in metallocene‐based olefin polymerization, has resisted structural characterization for decades. This review traces the computational journey from early cage and nanotube proposals to the identification of two‐dimensional aluminoxane sheets as the thermodynamically preferred motif, and how this ...
Mikko Linnolahti, Perttu Hanhisalo, Aleksi Vähäkangas   +2 more
wiley   +1 more source

Semiclassical Asymptotics on Manifolds with Boundary

, 2008
28 ...
Koldan, Nilufer, Prokhorenkov, Igor, Shubin, Mikhail   +2 more
openaire   +2 more sources

Overcoming Computational Bottlenecks in Quantum Hydrodynamics: A Volume‐Based Integral Formalism for Spherical Nanoparticles

Nanophotonics, Volume 15, Issue 13, 13 July 2026.
Numerical modeling of mesoscopic material response models that capture the quantum dynamics of electrons does not have to come with discouraging computational bottlenecks. The main message is that through a shift in perspective in modeling toward integral equation methods and exploiting symmetry‐based arguments, it is possible to capture complicated ...
Christos Mystilidis, Christos Tserkezis, Guy A. E. Vandenbosch, N. Asger Mortensen, Xuezhi Zheng   +4 more
wiley   +1 more source

Semiclassical Asymptotics and Gaps in the Spectra of Magnetic Schrödinger Operators

Geometriae Dedicata, 2002
In this paper, we study an L2 version of the semiclassical approximation of magnetic Schroedinger operators with invariant Morse type potentials on covering spaces of compact manifolds. In particular, we are able to establish the existence of an arbitrary large number of gaps in the spectrum of these operators, in the semiclassical limit as the ...
Mathai, V., Shubin, M.
openaire   +2 more sources

Fourier Expansion‐Based Approach to the Parameter Space of Classical Systems

Annalen der Physik, Volume 538, Issue 7, July 2026.
ABSTRACT We propose a new approach to compute the classical metric tensor (CMT) and the Hannay curvature using Fourier series expansions in action‐angle variables. This approach circumvents the need for complex time‐domain integrals or the construction of generating functions, replacing them with algebraic combinations of Fourier coefficients. We prove
Marcos J. Hernández, Daniel Gutiérrez‐Ruiz, Diego Gonzalez, J. David Vergara   +3 more
wiley   +1 more source

Uniform approximation for period-quadrupling bifurcations. [PDF]

, 1997
. We derive a uniform approximation for semiclassical contributions of periodic orbits to the spectral density which is valid for generic period-quadrupling bifurcations in systems with a mixed phase space.
Henning Schomerus, Schomerus, Henning, Sieber, Martin, Sieber, MMA, Schomerus, H, Martin Sieber   +5 more
core   +4 more sources

Quantum State‐Resolved Photodissociation Dynamics Study of Transition‐Metal Carbonyl and Nitrosyl

The Chemical Record, Volume 26, Issue 7, July 2026.
State‐resolved scattering measurements provide experimental visualization of nuclear motions in reacting molecules. Carbonyls and nitrosyls are typical ligands in most of the transition‐metal complexes, which undergo dissociation upon visible and ultraviolet photoexcitation.
Keigo Nagamori, Hiroyuki Nakata, Hiroshi Kohguchi   +2 more
wiley   +1 more source

Analytic semiclassical backreaction of a Schwarzschild black hole in a finite cavity: horizon shift, temperature renormalization, and canonical stability in the Hartle–Hawking state

European Physical Journal C: Particles and Fields
We construct an analytic model of static semiclassical backreaction for a Schwarzschild black hole in the Hartle–Hawking state enclosed within a finite spherical cavity.
G. G. L. Nashed, Alnadhief H. A. Alfedeel, Tiberiu Harko   +2 more
doaj   +1 more source

Deforming the Double‐Scaled SYK and Reaching the Stretched Horizon From Finite Cutoff Holography

Fortschritte der Physik, Volume 74, Issue 5, May 2026.
ABSTRACT We study the properties of the double‐scaled SYK (DSSYK) model under chord Hamiltonian deformations based on finite cutoff holography for general dilaton gravity theories with Dirichlet boundaries. The formalism immediately incorporates a lower‐dimensional analog of TT¯(+Λ2)$\text{T}\overline{\text{T}}(+\Lambda _2)$ deformations, denoted T2 ...
Sergio E. Aguilar‐Gutierrez
wiley   +1 more source