Results 71 to 80 of about 8,899 (159)

On non-planar ABJM anomalous dimensions from M2 branes in AdS4 × S 7/ℤ k

Journal of High Energy Physics
Planar parts of conformal dimensions of primary operators in U k (N) × U −k (N) ABJM theory are controlled by integrability. Strong coupling asymptotics of planar dimensions of operators with large spins can be found from the energy of semiclassical ...
Matteo Beccaria, Stefan A. Kurlyand, Arkady A. Tseytlin   +2 more
doaj   +1 more source

Recent developments in quantum mechanics with magnetic fields

, 2005
We present a review on the recent developments concerning rigorous mathematical results on Schr\"odinger operators with magnetic fields. This paper is dedicated to the sixtieth birthday of Barry Simon.Comment: Update of the previous versions; some more ...
Erdos, Laszlo
core   +3 more sources

How to Read Out the Phonon Number Statistics via Resonance Fluorescence Spectroscopy of a Single‐Photon Emitter

Advanced Quantum Technologies, Volume 8, Issue 2, February 2025.
This theoretical proposal uses a laser driven single quantum emitter to extract the number statistics of a phonon resonator mode in an arbitrary quantum state from the detected light scattering spectrum. A handy analytic approximation for the phonon sideband intensities is found to determine the involved phonon occupation probabilities. The approach is
Daniel Groll, Fabian Paschen, Paweł Machnikowski, Ortwin Hess, Daniel Wigger, Tilmann Kuhn   +5 more
wiley   +1 more source

Nonlinear Fokker-Planck Equation in the Model of Asset Returns

Symmetry, Integrability and Geometry: Methods and Applications, 2008
The Fokker-Planck equation with diffusion coefficient quadratic in space variable, linear drift coefficient, and nonlocal nonlinearity term is considered in the framework of a model of analysis of asset returns at financial markets.
Alexander Shapovalov, Andrey Trifonov, Elena Masalova   +2 more
doaj  

Second order semiclassics with self-generated magnetic fields

, 2011
We consider the semiclassical asymptotics of the sum of negative eigenvalues of the three-dimensional Pauli operator with an external potential and a self-generated magnetic field $B$.
A.V. Sobolev, E.H. Lieb, E.H. Lieb, E.H. Lieb, J.P. Solovej, J.P. Solovej, Jan Philip Solovej, L. Erdös, L. Erdös, László Erdős, Søren Fournais, V.I. Ivrii, V.I. Ivrii   +12 more
core   +1 more source

Quantum scattering with semiclassical asymptotic motion

, 2018
Conventional scattering theory is incomplete in that it does not adequately describe the behaviour of the wave function at macroscopic distances from the scattering reaction volume. In scattering experiments particles are incident from sources at macroscopic distance and measured at macroscopic distance from the microscopic reaction volume.
Briggs, John S., Feagin, James M.
openaire   +2 more sources

Central limit theorem for smooth statistics of one‐dimensional free fermions

Journal of the London Mathematical Society, Volume 111, Issue 1, January 2025.
Abstract We consider the determinantal point processes associated with the spectral projectors of a Schrödinger operator on R$\mathbb {R}$, with a smooth confining potential. In the semiclassical limit, where the number of particles tends to infinity, we obtain a Szegő‐type central limit theorem for the fluctuations of smooth linear statistics.
Alix Deleporte, Gaultier Lambert
wiley   +1 more source

Exact Solutions and Symmetry Operators for the Nonlocal Gross-Pitaevskii Equation with Quadratic Potential

Symmetry, Integrability and Geometry: Methods and Applications, 2005
The complex WKB-Maslov method is used to consider an approach to the semiclassical integrability of the multidimensional Gross-Pitaevskii equation with an external field and nonlocal nonlinearity previously developed by the authors.
Alexander Shapovalov, Andrey Trifonov, Alexander Lisok   +2 more
doaj  

Effective upper bounds on the number of resonances in potential scattering

Mathematika, Volume 71, Issue 1, January 2025.
Abstract We prove upper bounds on the number of resonances and eigenvalues of Schrödinger operators −Δ+V$-\Delta +V$ with complex‐valued potentials, where d⩾3$d\geqslant 3$ is odd. The novel feature of our upper bounds is that they are effective, in the sense that they only depend on an exponentially weighted norm of V.
Jean‐Claude Cuenin
wiley   +1 more source

Linear Confinement and AdS/QCD

, 2006
In a theory with linear confinement, such as QCD, the masses squared m^2 of mesons with high spin S or high radial excitation number n are expected, from semiclassical arguments, to grow linearly with S and n. We show that this behavior can be reproduced
Andreas Karch, B. Zwiebach, Dam T. Son, E. Witten, Emanuel Katz, G. ’t Hooft, J. M. Maldacena, L. Da Rold, Mikhail A. Stephanov, P. D. B. Collins   +9 more
core   +3 more sources