Quantum Monte Carlo

Numerical analytic continuation

In many-body physics, the problem of analytic continuation is that of numerically extracting the spectral density of a Green function given its values on the imaginary axis. It is a necessary post-processing step for calculating dynamical properties of physical systems from quantum Monte Carlo simulations, which often compute Green function values only at imaginary-times or Matsubara frequencies. Mathematically, the problem reduces to solving a Fredholm integral equation of the first kind with an ill-conditioned kernel. As a result, it is an ill-posed inverse problem with no unique solution and where a small noise on the input leads to large errors in the unregularized solution. There are different methods for solving this problem including the maximum entropy method, the average spectrum method and Pade approximation methods. (Wikipedia).

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From playlist Course 8: Complex Analysis

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From playlist Math

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In this video, I prove an analytic continuation of the Riemann Zeta function for all positive Re(z). Email : fematikaqna@gmail.com Code : https://github.com/Fematika/Animations Notes : None yet

From playlist Number Theory

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From playlist Analytic Number Theory

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From playlist Summer of Math Exposition Youtube Videos

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In this video, I will prove the analytic continuation of the xi function, which will lead into the continuation of the Riemann Zeta Function. Translate This Video : http://www.youtube.com/timedtext_video?v=epnPu9mx738&ref=share Notes : None yet Patreon : https://www.patreon.com/user?u=164

From playlist Number Theory

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From playlist NPTEL: Elementary Numerical Analysis | CosmoLearning Mathematics

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From playlist Complex analysis

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From playlist Discrete

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From playlist Partial Differential Equations

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From playlist 2022 Large-Scale Certified Numerical Methods in Quantum Mechanics

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From playlist Infosys-ICTS String Theory Lectures

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From playlist Business Analytics

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From playlist What You Need To Know About Engineering

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Engineering CEE 20: Engineering Problem Solving. Lecture 9

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From playlist Engineering CEE 20: Engineering Problem Solving

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Numerical Aperture in Fourier Optics

https://www.patreon.com/edmundsj If you want to see more of these videos, or would like to say thanks for this one, the best way you can do that is by becoming a patron - see the link above :). And a huge thank you to all my existing patrons - you make these videos possible. In this video

From playlist Fourier Optics

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The Analytic S-matrix Bootstrap (Lecture - 02) by Alexander Zhiboedov

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From playlist Infosys-ICTS String Theory Lectures

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The computational theory of Riemann–Hilbert problems (Lecture 1) by Thomas Trogdon

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From playlist Integrable​ ​systems​ ​in​ ​Mathematics,​ ​Condensed​ ​Matter​ ​and​ ​Statistical​ ​Physics

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From playlist Nonperturbative and Numerical Approaches to Quantum Gravity, String Theory and Holography

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Understanding and computing the Riemann zeta function

In this video I explain Riemann's zeta function and the Riemann hypothesis. I also implement and algorithm to compute the return values - here's the Python script:https://gist.github.com/Nikolaj-K/996dba1ff1045d767b10d4d07b1b032f

From playlist Programming

Related pages

Quantum Monte Carlo | Analytic continuation | Fermion | Fredholm integral equation | Kramers–Kronig relations | Regularization (mathematics)