Results 111 to 120 of about 744,050 (371)
Generalized Fourier transforms applied to fractional derivatives and Quantum Statistics Distributions [PDF]
In the present article the author extends the Fourier transform to a more general class of functions; First to power-law functions with integer and half-integer exponents then to the widely used quantum statistics function (Fermi-Dirac and Bose-Einstein-distributions).
arxiv
A novel polymer electrolyte membrane with a hyperbranched interpenetrating hydrogen bond network structure is developed. The unique structure of the hyperbranched polymer contributes to a high glass transition temperature exceeding 400 °C, enabling its operation at elevated temperatures for fuel cell applications.
Lingping Zeng+10 more
wiley +1 more source
The Fourier and Hilbert transforms under the Bargmann transform [PDF]
There is a canonical unitary transformation from $L^2(\R)$ onto the Fock space $F^2$, called the Bargmann transform. We study the action of the Bargmann transform on several classical integral operators on $L^2(\R)$, including the fractional Fourier transform, the fractional Hilbert transform, and the wavelet transform.
arxiv
Ru‐substituted hexagonal perovskite SrMnO3, featuring face‐shared oxygen species, is designed as an effective heterogeneous catalyst for the aerobic oxidation of sulfides. The catalyst demonstrates high selectivity to sulfones (>99%) under mild reaction conditions (≥30 °C). Ru substitution promotes oxygen vacancy formation of face‐shared oxygen species
Keiju Wachi+5 more
wiley +1 more source
Parameter Estimation of Chirp for Underwater Acoustic Channel
To overcome the performance degradation of conventional Chirp parameters estimation methods in underwater acoustic multipath channels, a novel parameters estimation method based on Fractional Fourier transform (FRFT) and Fourier transform (FFT) was ...
Junhui FAN, Hua PENG, Chi WEI
doaj +1 more source
Quantum mechanical perspectives and generalization of the fractional Fourier Transformation [PDF]
Fourier and fractional-Fourier transformations are widely used in theoretical physics. In this paper we make quantum perspectives and generalization for the fractional Fourier transformation (FrFT). By virtue of quantum mechanical representation transformation and the method of integration within normal ordered product (IWOP) of operators, we find the ...
arxiv
Sono‐Piezo‐Photosynthesis of Ethylene and Acetylene from Bioethanol under Ambient Conditions
A novel sono‐piezo‐photocatalytic strategy enables the conversion of bioethanol to ethylene (C2H4) and acetylene (C2H2) under ambient conditions, addressing the limitations of conventional methods that are high‐temperature and energy‐intensive. By using an advanced graphene oxide/sodium bismuth titanate heterostructure catalyst, this work achieved ...
Yue Jiang+21 more
wiley +1 more source
Quasiprobability distribution functions from fractional Fourier transforms [PDF]
We show, in a formal way, how a class of complex quasiprobability distribution functions may be introduced by using the fractional Fourier transform. This leads to the Fresnel transform of a characteristic function instead of the usual Fourier transform.
arxiv
Integral Transforms Method to Solve a Time-Space Fractional Diffusion Equation [PDF]
Mathematical Subject Classification 2010: 35R11, 42A38, 26A33, 33E12.The method of integral transforms based on using a fractional generalization of the Fourier transform and the classical Laplace transform is applied for solving Cauchy-type problem for ...
Boyadjiev, Lyubomir, Nikolova, Yanka
core
High‐Entropy Magnetism of Murunskite
The study of murunskite (K2FeCu3S4) reveals that its magnetic and orbital order emerges in a simple I4/mmm crystal structure with complete disorder in the transition metal positions. Mixed‐valence Fe ions randomly occupy 1/4 of the tetrahedral sites, with the remaining 3/4 being filled by non‐magnetic Cu+ ions.
Davor Tolj+18 more
wiley +1 more source