Results 1 to 10 of about 11,941,951 (198)

Airy function and 4d quantum gravity [PDF]

open access: yesJournal of High Energy Physics, 2018
We study four-dimensional quantum gravity with negative cosmological constant in the minisuperspace approximation and compute the partition function for the S 3 boundary geometry.
Paweł Caputa, Shinji Hirano
doaj   +5 more sources

Generation of the Airy beam based on the truncated asymptotic expression of the Airy function using a transmissive metasurface

open access: yesOptics Express, 2022
This paper proposes a phase-only modulation method to improve the main lobe's efficiency of the Airy beam based on the truncated asymptotic expression of the Airy function.
Long Li
exaly   +2 more sources

The modified airy function approximation applied to the double-well potential [PDF]

open access: yesAIP Advances
The single harmonic oscillator and double-well potentials are important systems in quantum mechanics. The single harmonic oscillator is the paradigm in physics and is taught in nearly all beginner undergraduate classes, while the double-well potential ...
N. Wine, J. Achtymichuk, F. Marsiglio
doaj   +2 more sources

Airy function approach and Numerov method to study the anharmonic oscillator potentials V(x) = Ax2α + Bx2

open access: yesAIP Advances, 2016
The numerical solutions of the time independent Schrödinger equation of different one-dimensional potentials forms are sometime achieved by the asymptotic iteration method.
N. Al Sdran, F. Maiz
doaj   +2 more sources

Zeros of Airy Function and Relaxation Process [PDF]

open access: yesJournal of Statistical Physics, 2009
One-dimensional system of Brownian motions called Dyson's model is the particle system with long-range repulsive forces acting between any pair of particles, where the strength of force is $β/2$ times the inverse of particle distance. When $β=2$, it is realized as the Brownian motions in one dimension conditioned never to collide with each other.
Katori, Makoto, Tanemura, Hideki
openaire   +4 more sources

Airy function and transfer matrix method in the study of quasi-bound levels of biased multi-barrier quantum structures

open access: yesWuli Xuebao/Acta Physica Sinica, 2005
The quasi-bound levels in biased/unbiased double/triple-barrier quantum structures have been exactly calculated based on the solution of the one_dimensional (1D) time-independent Schrdinger equation using Airy function and transfer matrix method, which ...
Wang Hong-mei, Zhang Ya-fei
exaly   +2 more sources

Implementation of Airy function using Graphics Processing Unit (GPU) [PDF]

open access: yesITM Web of Conferences, 2020
Special mathematical functions are an integral part of Fractional Calculus, one of them is the Airy function. But it’s a gruelling task for the processor as well as system that is constructed around the function when it comes to evaluating the special ...
Keluskar Yugesh C.   +3 more
doaj   +1 more source

Airy Transform of the New Power-Exponent-Phase Vortex Beam

open access: yesPhotonics, 2023
A new power-exponent-phase vortex beam with nonlinear phase winding has shown flexible control freedom compared with conventional vortex beams. In order to further enrich the modulation freedom and expand the ability of self-healing to meet current ...
Qidong Lin   +6 more
doaj   +1 more source

Angular Airy function: a model of Fabry-Perot etalons illuminated by arbitrary beams.

open access: yesOptics Express, 2021
Fabry-Perot (FP) etalons are used as filters and sensors in a range of optical systems. The reflected and transmitted fields associated with an FP etalon have traditionally been predicted by the Airy function, which assumes a plane wave illumination.
D. Marques, J. Guggenheim, P. Munro
semanticscholar   +1 more source

Wideband Airy Beam Generation Using Reflective Metasurfaces with Both Phase and Amplitude Modulation

open access: yesPhotonics, 2023
Airy beams are an intriguing type of non-diffraction wave packet that can exist in one-dimensional (1D) curved orbital plane systems. These beams have gained significant attention due to their unique properties, including non-diffraction, self-healing ...
Zhenai Wang, Tingting Lang, Yanqing Qiu
doaj   +1 more source

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