Results 11 to 20 of about 56,537 (294)
ABJM at finite N via 4d supergravity
Journal of High Energy Physics, 2022 We apply the conjecture of [1] for gravitational building blocks to the effective supergravity description of M-theory on S7 /ℤ k . Utilizing known localization results for the holographically dual ABJM theory, we determine a complete tower of higher ...
Kiril Hristov
doaj +1 more source
Nanomaterials, 2023 Integrating multiple independent functions into a single optical component is one of the most important topics in research on photoelectric systems. In this paper, we propose a multifunctional all-dielectric metasurface that can achieve a variety of non ...
Kuangling Guo +3 more
doaj +1 more source
Eigenvalues asymptotics for Stark operators [PDF]
E-Journal of Analysis and Applied Mathematics, 2019 We give the eigenvalues asymptotics for the Stark operator of the form $\displaystyle-\Delta+Fx$, $F>0$ on $\displaystyle\mathrm{L}^2([0,d])$. This is given in the case when $F$ is small enough or sufficiently large.
Hatem Najar, Monia Raissi
doaj +1 more source
Absence of Zeros and Asymptotic Error Estimates for Airy and Parabolic Cylinder Functions [PDF]
, 2012 We derive WKB approximations for a class of Airy and parabolic cylinder functions in the complex plane, including quantitative error bounds. We prove that all zeros of the Airy function lie on a ray in the complex plane, and that the parabolic cylinder ...
Finster, Felix, Smoller, Joel
core +3 more sources
Some Results Involving the Airy Functions and Airy Transforms
Tatra Mountains Mathematical Publications, 2021 Abstract In the present work, the author studied some properties of the modified Bessel’s functions and Airy functions. It is worth mentioning that the Airy functions are used in many fields of physics. They are applied in many branches of classical and quantum physics. The author also studied certain properties of the Airy transform and
openaire +2 more sources
Journal of New Results in Science, 2021 Special functions such as hypergeometric, zeta, Bessel, Whittaker, Struve, Airy, Weber-Hermite and Mittag-Leffler functions are obtained as a solution to complex differential equations in engineering, science and technology.
Umar Muhammad Abubakar
doaj +1 more source
Algorithm for solution of systems of singularly perturbed differential equations with adifferential turning point [PDF]
Bulletin of the Polish Academy of Sciences: Technical Sciences, 2023 The dynamic development of science requires constant improvement of approaches to modeling physical processes and phenomena. Practically all scientific problems can be described by systems of differential equations. Many scientific problems are described
Valentyn Sobchuk +2 more
doaj +1 more source
A remark on the matrix Airy function [PDF]
Theoretical and Mathematical Physics, 2000 An integral representation for matrix Airy function is ...
openaire +4 more sources
Exact solutions for time-dependent complex symmetric potential well
Acta Polytechnica, 2023 Using the pseudo-invariant operator method, we investigate the model of a particle with a time-dependent mass in a complex time-dependent symmetric potential well V (x, t) = if (t) |x|.
Boubakeur Khantoul, Abdelhafid Bounames
doaj +1 more source
Special Functions of Mathematical Physics: A Unified Lagrangian Formalism
Mathematics, 2020 Lagrangian formalism is established for differential equations with special functions of mathematical physics as solutions. Formalism is based on either standard or non-standard Lagrangians.
Zdzislaw E. Musielak +2 more
doaj +1 more source