Results 31 to 40 of about 3,032,855 (327)
On analytic continuation and functional equation of certain Dirichlet series [PDF]
International Journal of Mathematics and Mathematical Sciences, 1993 Analytic continuation and functional equation of Riemann's type are proved for a class of Dirichlet series associated to rational functions.
E. Carletti, G. Monti Bragadin
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The Analytic Continuation of the Lippmann-Schwinger Eigenfunctions, and Antiunitary Symmetries
Symmetry, Integrability and Geometry: Methods and Applications, 2009 We review the way to analytically continue the Lippmann-Schwinger bras and kets into the complex plane. We will see that a naive analytic continuation leads to nonsensical results in resonance theory, and we will explain how the non-obvious but correct ...
Rafael de la Madrid
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Analytic Continuation of the Kite Family [PDF]
Texts & Monographs in Symbolic Computation, 2019 We consider results for the master integrals of the kite family, given in terms of ELi-functions which are power series in the nome $q$ of an elliptic curve. The analytic continuation of these results beyond the Euclidean region is reduced to the analytic continuation of the two period integrals which define $q.$ We discuss the solution to the latter ...
Bogner, Christian +2 more
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Hadronic structure, conformal maps, and analytic continuation [PDF]
Physical Review D, 2023 We present a method for analytic continuation of retarded Green functions, including Euclidean Green functions computed using lattice QCD. The method is based on conformal maps and construction of an interpolation function which is analytic in the upper ...
Thomas R. Bergamaschi, W. Jay, P. Oare
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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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Minimal pole representation and controlled analytic continuation of Matsubara response functions [PDF]
Physical review B, 2023 Analytical continuation is a central step in the simulation of finite-temperature field theories in which numerically obtained Matsubara data is continued to the real frequency axis for physical interpretation.
Lei Zhang, Emanuel Gull
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Progress on stochastic analytic continuation of quantum Monte Carlo data [PDF]
Physics reports, 2022 We report multipronged progress on the stochastic averaging approach to numerical analytic continuation of quantum Monte Carlo data. With the sampled spectrum parametrized with delta-functions in continuous frequency space, a calculation of the ...
Hui Shao, A. Sandvik
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Bosonic Nevanlinna Analytic Continuation [PDF]
Journal of the Physical Society of Japan, 2023 Analytical continuation (AC) connects theoretical calculations and experimentally measurable quantities. The recently proposed Nevanlinna AC method is capable of accurately reproducing the sharp features of spectral functions at high frequencies while ...
Kosuke Nogaki, H. Shinaoka
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Analytic continuation of the relativistic three-particle scattering amplitudes [PDF]
Physical Review D, 2023 We investigate the relativistic scattering of three identical scalar bosons interacting via pair-wise interactions. Extending techniques from the non-relativistic three-body scattering theory, we provide a detailed and general prescription for solving ...
S. Dawid, Md Habib E Islam, R. Briceño
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Robust analytic continuation of Green's functions via projection, pole estimation, and semidefinite relaxation [PDF]
Physical review B, 2022 Green's functions of fermions are described by matrix-valued Herglotz-Nevanlinna functions. Since analytic continuation is fundamentally an ill-posed problem, the causal space described by the matrix-valued Herglotz-Nevanlinna structure can be ...
Zhen Huang, E. Gull, Lin Lin
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