Results 41 to 50 of about 28,913 (272)
Mellin transform of quartic products of shifted Airy functions
The Mellin transform of quartic products of shifted Airy functions is evaluated in a closed form. Some particular cases expressed in terms of the logarithm function and complete elliptic integrals special values are presented.Comment: Submitted to ...
Abramochkin, E. G., Razueva, E. V.
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Linear Potentials, Airy Wave Packets and Airy Transform
The solution of the Schrodinger equation with a linear potential is considered. We use algebraic methods to obtain the explicit form of the solution for the explicitly time dependent Hamiltonian and discuss the general conditions which allow us to get solutions in terms of the Airy functions, yelding non spreading wave packets.
Dattoli, G., Zhukovsky, K.
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Properties of an elegant Laguerre-Gaussian beam in the receiver plane of Airy transformation
As the superposition of an even and odd modes constitutes an elegant Laguerre-Gaussian beam (ELGB), Airy transformation of the even mode, the odd mode, and the ELGB is studied.
Yong-Zhou Ni +5 more
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Higher-Order Properties of Analytic Wavelets
The influence of higher-order wavelet properties on the analytic wavelet transform behavior is investigated, and wavelet functions offering advantageous performance are identified.
Lilly, J. M., Olhede, S. C.
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Gravity‐Derived Antarctic Crustal Thickness Based on the Gauss‐FFT Method
The information on crustal thickness in Antarctica can provide significant constraints on its crustal deformation and tectonic evolution. To generate reliable images of crustal features, we investigate the model of Moho depth and crustal thickness ...
Fei Ji, Leyuan Wu, Qiao Zhang
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Finite energy Airy beams (FEAB) generated in laboratory have a short non-diffracting propagation distance (NDPD), which restricts its application in laser communication, laser detection and other fields. Effects of optical Airy transform (OAT) on NDPD of FEAB is analyzed.
Chu, Xingchun +4 more
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Theoretical aspects of transient temperature on cubic crystal surface in a photoacoustic effect
In photoacoustic effect, the solid sample absorbs a fraction of the radiation falling upon it and excitation process occurs. The type of excitation depends on the energy of the incident radiation. The relaxation processes, which are also popularly known
А.П. Сарод +1 more
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Self-accelerating beam dynamics in the space fractional Schrödinger equation
Self-accelerating beams are fascinating solutions of the Schrödinger equation. Thanks to their particular phase engineering, they can accelerate without the need for external potentials or applied forces.
David Colas
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The Ile181Asn variant of human UDP‐xylose synthase (hUXS1), associated with a short‐stature genetic syndrome, has previously been reported as inactive. Our findings demonstrate that Ile181Asn‐hUXS1 retains catalytic activity similar to the wild‐type but exhibits reduced stability, a looser oligomeric state, and an increased tendency to precipitate ...
Tuo Li +2 more
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Uniform semiclassical expansions for the direct part of Franck-Condon transitions
Semiclassical expansions for traces involving Greens functions have two contributions, one from the periodic or recurrent orbits of the classical system and one from the phase space volume, i.e. the paths of infinitesimal length.
Eckhardt, B., Huepper, B.
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