Results 1 to 10 of about 197,845 (276)
Real-space diffusion theory from quantum mechanics using analytic continuation [PDF]
HeliyonWe show that a physical correspondence between Brownian motion and quantum mechanics can be established by formal analytic continuation if Wick rotation (t→it) is replaced by the mirror symmetric, complex conjugate time transformation t→±it.
Leonardo Di G. Sigalotti +2 more
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Analytic Continuation with Padé Decomposition [PDF]
Chinese Physics Letters, 2017 The ill-posed analytic continuation problem for Green's functions or self-energies can be done using the Pad rational polynomial approximation. However, to extract accurate results from this approximation, high precision input data of the Matsubara Green's function are needed.
Han, Xing-Jie +5 more
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Nevanlinna Analytical Continuation [PDF]
Physical Review Letters, 2021 Simulations of finite temperature quantum systems provide imaginary frequency Green's functions that correspond one-to-one to experimentally measurable real-frequency spectral functions. However, due to the bad conditioning of the continuation transform from imaginary to real frequencies, established methods tend to either wash out spectral features at
Jiani Fei, Chia-Nan Yeh, Emanuel Gull
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The Derivation of the Riemann Analytic Continuation Formula from the Euler’s Quadratic Equation
Journal of Nigerian Society of Physical Sciences, 2022 The analysis of the derivation of the Riemann Analytic Continuation Formula from Euler’s Quadratic Equation is presented in this paper. The connections between the roots of Euler’s quadratic equation and the Analytic Continuation Formula of the Riemann ...
Opeyemi O. Enoch +2 more
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Exact quantization and analytic continuation
Journal of High Energy Physics, 2023 In this paper we give a streamlined derivation of the exact quantization condition (EQC) on the quantum periods of the Schrödinger problem in one dimension with a general polynomial potential, based on Wronskian relations.
Barak Gabai, Xi Yin
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Analytic continuation of harmonic sums: Dispersion representation
Nuclear Physics B, 2022 We present a simple representation for analytically continued nested harmonic sums for the arbitrary complex arguments. This representation can be obtained for a wide range of nested harmonic sums from a precomputed database for the pole expressions of ...
V.N. Velizhanin
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The inverse Mellin transform via analytic continuation
Journal of High Energy Physics, 2023 We present a method to calculate the x-space expressions of massless or massive operator matrix elements in QCD and QED containing local composite operator insertions, depending on the discrete Mellin index N, directly, without computing the Mellin-space
A. Behring, J. Blümlein, K. Schönwald
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Confinement as analytic continuation beyond infinite coupling
Physical Review Research, 2020 We propose a mechanism for confinement: analytic continuation beyond infinite coupling in the space of the coupling constant. The analytic continuation is realized by renormalization group flows from the weak to the strong coupling regime. We demonstrate
Masahito Yamazaki, Kazuya Yonekura
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On the analytic continuation of Euler products
Lietuvos Matematikos Rinkinys, 2000 There is not abstract.
Eugenijus Stankus
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Lattice simulations of the QCD chiral transition at real $\mu_B$
SciPost Physics Proceedings, 2022 Most lattice studies of hot and dense QCD matter rely on extrapolation from zero or imaginary chemical potentials. The ill-posedness of numerical analytic continuation puts severe limitations on the reliability of such methods.
Attila Pasztor, Szabolcs Borsanyi, Zoltan Fodor, Matteo Giordano, Sandor D. Katz, Daniel Nogradi, Chik Him Wong
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