Results 41 to 50 of about 8,950 (170)

An application of the Maslov complex germ method to the 1D nonlocal Fisher-KPP equation

, 2018
A semiclassical approximation approach based on the Maslov complex germ method is considered in detail for the 1D nonlocal Fisher-Kolmogorov-Petrovskii-Piskunov equation under the supposition of weak diffusion.
Shapovalov, A. V., Trifonov, A. Yu.
core   +1 more source

Semiclassical asymptotics for a class of singular Schrödinger operators [PDF]

, 2021
Let $ \subset \mathbb{R}^d$ be bounded with $C^1$ boundary. In this paper we consider Schr dinger operators $- + W$ on $ $ with $W(x)\approx\mathrm{dist}(x, \partial )^{-2}$ as $\mathrm{dist}(x, \partial )\to 0$. Under weak assumptions on $W$ we derive a two-term asymptotic formula for the sum of the eigenvalues of such operators.
Rupert L. Frank, Simon Larson
openaire   +2 more sources

Semiclassical shell structure and nuclear double-humped fission barriers [PDF]

Ядерна фізика та енергетика, 2010
We derived the semiclassical trace formulas for the level density as sums over periodic-orbit families and isolated orbits within the improved stationary phase method.
A. G. Magner
doaj  

The semiclassical limit of eigenfunctions of the Schr\"odinger equation and the Bohr-Sommerfeld quantization condition, revisited

, 2010
Consider the semiclassical limit, as the Planck constant $\hbar\ri 0$, of bound states of a quantum particle in a one-dimensional potential well. We justify the semiclassical asymptotics of eigenfunctions and recover the Bohr-Sommerfeld quantization ...
Yafaev, D. R.
core   +3 more sources

On the asymptotic number of low-lying states in the two-dimensional confined Stark effect

Forum of Mathematics, Sigma
We investigate the Stark operator restricted to a bounded domain $\Omega \subset \mathbb {R}^2$ with Dirichlet boundary conditions. In the semiclassical limit, a three-term asymptotic expansion for its individual eigenvalues has been established ...
Larry Read
doaj   +1 more source

Asymptotics of LQG fusion coefficients

, 2008
The fusion coefficients from SO(3) to SO(4) play a key role in the definition of spin foam models for the dynamics in Loop Quantum Gravity. In this paper we give a simple analytic formula of the EPRL fusion coefficients.
Alesci E Bianchi E Magliaro E Perini C, Alesci E Noui K Sardelli F, Ashtekar A, Ashtekar A, Ashtekar A, Baez J C, Bianchi E, Bianchi E, Bianchi E Satz A, Claudio Perini, Conrady F Freidel L, Elena Magliaro, Emanuele Alesci, Eugenio Bianchi, Freidel L, Khavkine I, Magliaro E, Major S A, Oriti D, Perez A, Ponzano G, Rovelli C, Rovelli C, Thiemann T, Varshalovich D, Yutsin A   +25 more
core   +5 more sources

Topological Expansion and Exponential Asymptotics in 1D Quantum Mechanics [PDF]

, 1999
Borel summable semiclassical expansions in 1D quantum mechanics are considered. These are the Borel summable expansions of fundamental solutions and of quantities constructed with their help.
Balian R, Balian R, Bateman H, Bentosela F, Berry M V, Berry M V, Berry M V, Berry M V, Carlitz R N, Carlitz R N, Combes J-M, Delabaere E, Ecalle J, Ecalle J Cinq application des fonctions resurgentes, Eden R J, Fedoryuk M V, Fröman N, Giller S, Giller S, Giller S, Giller S, Hagedorn G A, Horzela A, Landau L D, Nicole D A, Simon B, Stefan Giller, Sternin B, Voros A, Zinn-Justin J   +29 more
core   +3 more sources

Spectral asymptotics of semiclassical unitary operators

Journal of Mathematical Analysis and Applications, 2019
This paper establishes an aspect of Bohr's correspondence principle, i.e. that quantum mechanics converges in the high frequency limit to classical mechanics, for commuting semiclassical unitary operators. We prove, under minimal assumptions, that the semiclassical limit of the convex hulls of the quantum spectrum of a collection of commuting ...
Yohann Le Floch, Álvaro Pelayo
openaire   +3 more sources

Semiclassical almost isometry

, 2006
Let M be a complex projective manifold, and L an Hermitian ample line bundle on it. A fundamental theorem of Gang Tian, reproved and strengthened by Zelditch, implies that the Khaeler form of L can be recovered from the asymptotics of the projective ...
A. Weinstein, B. Shiffman, D. Borthwick, D. McDuff, G. Tian, L. Hörmander, Roberto Paoletti, S. Bates, S. Zelditch, V. Guillemin, V. Guillemin   +10 more
core   +3 more sources

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

The Chemical Record, EarlyView.
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