Results 11 to 20 of about 10,794 (206)
The quantum Mellin transform [PDF]
New Journal of Physics, 2006 We uncover a new type of unitary operation for quantum mechanics on the half-line which yields a transformation to ``Hyperbolic phase space''. We show that this new unitary change of basis from the position x on the half line to the Hyperbolic momentum $p_ $, transforms the wavefunction via a Mellin transform on to the critial line $s=1/2-ip_ $.
Twamley, J., Milburn, G. J.
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HARMONIC SUMS, MELLIN TRANSFORMS AND INTEGRALS [PDF]
International Journal of Modern Physics A, 1999 This paper describes algorithms to deal with nested symbolic sums over combinations of harmonic series, binomial coefficients and denominators. In addition it treats Mellin transforms and the inverse Mellin transformation for functions that are encountered in Feynman diagram calculations.
Vermaseren, J. A. M.
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Registration of Magnetic Resonance Tomography (MRT) Data with a Low Frequency Adaption of Fourier-Mellin-SOFT (LF-FMS). [PDF]
Sensors (Basel), 2021 Fourier-Mellin-SOFT (FMS) is a rigid 3D registration method, which allows the robust registration of 3 degrees-of-freedom (dof) rotation, 1-dof scale, and 3-dof translation between scans on discrete grids.
Bülow H, Birk A.
europepmc +2 more sources
Marine Heatwaves, Ocean Warming and Acidification Reshape Reef Fish Gut Microbiomes. [PDF]
Mol EcolABSTRACT Extreme climatic events and gradual climate change are increasingly anticipated to interact and reshape ecological communities. However, the combined effects of ocean warming, acidification and marine heatwaves on host‐associated microbial communities and their potential role in host adaptation remain poorly understood.
Mitchell A +9 more
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THE IMAGE REGISTRATION OF FOURIER-MELLIN BASED ON THE COMBINATION OF PROJECTION AND GRADIENT PREPROCESSING [PDF]
The International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences, 2017 Image registration is one of the most important applications in the field of image processing. The method of Fourier Merlin transform, which has the advantages of high precision and good robustness to change in light and shade, partial blocking, noise ...
D. Gao, X. Zhao, X. Pan
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Goldstone bosons on celestial sphere and conformal soft theorems
Journal of High Energy Physics, 2023 In this paper, we study celestial amplitudes of Goldstone bosons and conformal soft theorems. Motivated by the success of soft bootstrap in momentum space and the important role of the soft limit behavior of tree-level amplitudes, our goal is to extend ...
Karol Kampf +3 more
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DEFLECTION OF AN INTERFACE CRACK BY A NON-LINEAR MATERIAL INTERFACE
St. Petersburg Polytechnical University Journal: Physics and Mathematics, 2021 An antiplane semi-infinite interface crack whose vertex coincides with the angular point of the material interface is considered. The exact solution of the problem is obtained using the Mellin integral transformation.
Tikhomirov Victor
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Renormalization and Mellin Transforms [PDF]
, 2013 We study renormalization in a kinetic scheme using the Hopf algebraic framework, first summarizing and recovering known results in this setting. Then we give a direct combinatorial description of renormalized amplitudes in terms of Mellin transform coefficients, featuring the universal property of rooted trees H_R.
Kreimer, Dirk, Panzer, Erik
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Deep Inelastic Structure Functions at two Loops [PDF]
, 1999 We present the analytic calculation of the Mellin moments of the structure functions F_2, F_3 and F_L in perturbative QCD up to second order corrections and in leading twist approximation. We calculate the 2-loop contributions to the anomalous dimensions
Moch, S., Vermaseren, J. A. M.
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Mathematics, 2021 In this paper, we further study the generating function involving a variety of special numbers and ploynomials constructed by the second author. Applying the Mellin transformation to this generating function, we define a new class of zeta type functions,
Daeyeoul Kim, Yilmaz Simsek
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