Asymptotic analysis | Perturbation theory
In mathematics, perturbation theory works typically by expanding unknown quantity in a power series in a small parameter. However, in a perturbation problem beyond all orders, all coefficients of the perturbation expansion vanish and the difference between the function and the constant function 0 cannot be detected by a power series. A simple example is understood by an attempt at trying to expand in a Taylor series in about 0. All terms in a naïve Taylor expansion are identically zero. This is because the function possesses an essential singularity at in the complex -plane, and therefore the function is most appropriately modeled by a Laurent series -- a Taylor series has a zero radius of convergence. Thus, if a physical problem possesses a solution of this nature, possibly in addition to an analytic part that may be modeled by a power series, the perturbative analysis fails to recover the singular part. Terms of nature similar to are considered to be "beyond all orders" of the standard perturbative power series. (Wikipedia).
Quantum Field Theory 4d - Second Quantization IV
We end our discussion of second quantization with the details of perturbation theory.
From playlist Quantum Field Theory
Transcendental Functions 17 The Indefinite Integral of 1 over u du Example 2.mov
More example problems involving the integral of 1 over u, du.
From playlist Transcendental Functions
Transcendental Functions 17 The Indefinite Integral of 1 over u du Example 1.mov
Example problems involving the integral of u to the power negative 1 du.
From playlist Transcendental Functions
Transcendental Functions 18 More Examples 1.mov
More example problems.
From playlist Transcendental Functions
Maxim Kazarian - 3/3 Mathematical Physics of Hurwitz numbers
Hurwitz numbers enumerate ramified coverings of a sphere. Equivalently, they can be expressed in terms of combinatorics of the symmetric group; they enumerate factorizations of permutations as products of transpositions. It turns out that these numbers obey a huge num
From playlist Physique mathématique des nombres de Hurwitz pour débutants
Maxim Kazarian - 1/3 Mathematical Physics of Hurwitz numbers
Hurwitz numbers enumerate ramified coverings of a sphere. Equivalently, they can be expressed in terms of combinatorics of the symmetric group; they enumerate factorizations of permutations as products of transpositions. It turns out that these numbers obey a huge num
From playlist Physique mathématique des nombres de Hurwitz pour débutants
Transcendental Functions 18 More Examples 2.mov
More example problems.
From playlist Transcendental Functions
Maxim Kazarian - 2/3 Mathematical Physics of Hurwitz numbers
Hurwitz numbers enumerate ramified coverings of a sphere. Equivalently, they can be expressed in terms of combinatorics of the symmetric group; they enumerate factorizations of permutations as products of transpositions. It turns out that these numbers obey a huge num
From playlist Physique mathématique des nombres de Hurwitz pour débutants
Gérald DUNNE - Resurgent Trans-series Analysis of Hopf Algebraic Renormalization
In the Kreimer-Connes Hopf algebraic approach to renormalization, for certain QFTs the Dyson-Schwinger equations can be reduced to nonlinear differential equations. I describe methods based on Ecalle's theory of resurgent trans-series to extract non-perturbative information from these Dyso
From playlist Algebraic Structures in Perturbative Quantum Field Theory: a conference in honour of Dirk Kreimer's 60th birthday
Michael Green -- String Scattering Amplitudes, Feynman diagrams, and M-theory
This workshop seeks to explore connections between geometric flows and other areas of mathematics and physics. Geometric flows refer to ways in which geometry can be deformed smoothly in time, rather analogous to the way in which the geometry of the surface of a balloon becomes smooth and
From playlist Research Lectures
Mechanics of Dimples & Jets from an Axisymmetric, Collapsing Wave Trough by Ratul Dasgupta
DISCUSSION MEETING WAVES, INSTABILITIES AND MIXING IN ROTATING AND STRATIFIED FLOWS (ONLINE) ORGANIZERS: Thierry Dauxois (CNRS & ENS de Lyon, France), Sylvain Joubaud (ENS de Lyon, France), Manikandan Mathur (IIT Madras, India), Philippe Odier (ENS de Lyon, France) and Anubhab Roy (IIT M
From playlist Waves, Instabilities and Mixing in Rotating and Stratified Flows (ONLINE)
Studying thermal QCD matter on the lattice (LQCD1 - Lecture 1) by Peter Petreczky
PROGRAM THE MYRIAD COLORFUL WAYS OF UNDERSTANDING EXTREME QCD MATTER ORGANIZERS: Ayan Mukhopadhyay, Sayantan Sharma and Ravindran V DATE: 01 April 2019 to 17 April 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Strongly interacting phases of QCD matter at extreme temperature and
From playlist The Myriad Colorful Ways of Understanding Extreme QCD Matter 2019
Fractionalized fermionic quantum criticality by Lukas Janssen
PROGRAM FRUSTRATED METALS AND INSULATORS (HYBRID) ORGANIZERS Federico Becca (University of Trieste, Italy), Subhro Bhattacharjee (ICTS-TIFR, India), Yasir Iqbal (IIT Madras, India), Bella Lake (Helmholtz-Zentrum Berlin für Materialien und Energie, Germany), Yogesh Singh (IISER Mohali, In
From playlist FRUSTRATED METALS AND INSULATORS (HYBRID, 2022)
Alexandre Tkatchenko - Many-body perturbation theory and wavefunction methods: A Physics perspective
Recorded 08 March 2022. Alexandre Tkatchenko of the University of Luxembourg presents "Many-body perturbation theory and wavefunction methods: A Physics perspective" at IPAM's Advancing Quantum Mechanics with Mathematics and Statistics Tutorials. Learn more online at: http://www.ipam.ucla.
From playlist Tutorials: Advancing Quantum Mechanics with Mathematics and Statistics - March 8-11, 2022
Transcendental Functions 25 Example problems 2.mp4
Example problems.
From playlist Transcendental Functions
Introduction to Resurgence, Trans-series and Non-perturbative Physics III by Gerald Dunne
Nonperturbative and Numerical Approaches to Quantum Gravity, String Theory and Holography DATE:27 January 2018 to 03 February 2018 VENUE:Ramanujan Lecture Hall, ICTS Bangalore The program "Nonperturbative and Numerical Approaches to Quantum Gravity, String Theory and Holography" aims to
From playlist Nonperturbative and Numerical Approaches to Quantum Gravity, String Theory and Holography
The Orientation Dynamics of Sedimenting Anisotropic Particles in a Stratified by Ganesh Subramanian
DISCUSSION MEETING WAVES, INSTABILITIES AND MIXING IN ROTATING AND STRATIFIED FLOWS (ONLINE) ORGANIZERS: Thierry Dauxois (CNRS & ENS de Lyon, France), Sylvain Joubaud (ENS de Lyon, France), Manikandan Mathur (IIT Madras, India), Philippe Odier (ENS de Lyon, France) and Anubhab Roy (IIT M
From playlist Waves, Instabilities and Mixing in Rotating and Stratified Flows (ONLINE)
Signatures of Deconfined Quantum Criticality in a spin-1 Model on the Square ... by Vikas Vijigiri
DISCUSSION MEETING 8TH INDIAN STATISTICAL PHYSICS COMMUNITY MEETING ORGANIZERS: Ranjini Bandyopadhyay (RRI, India), Abhishek Dhar (ICTS-TIFR, India), Kavita Jain (JNCASR, India), Rahul Pandit (IISc, India), Samriddhi Sankar Ray (ICTS-TIFR, India), Sanjib Sabhapandit (RRI, India) and Prer
From playlist 8th Indian Statistical Physics Community Meeting-ispcm 2023
Lecture 06-Jack Simons Electronic Structure Theory- Møller-Plesset perturbation theory
Determining the CI amplitudes using Moller-Plesset perturbation theory (MPn); Brillouin theorem; strengths and weaknesses of MPn; non-convergence of MPn can give crazy results. (1)Jack Simons Electronic Structure Theory- Session 1- Born-Oppenheimer approximation http://www.youtube.com/
From playlist U of Utah: Jack Simons' Electronic Structure Theory course
Mike Boyle - Nonnegative matrices : Perron Frobenius theory and related algebra (Part 3)
Nonnegative matrices : Perron Frobenius theory and related algebra (Part 3) Licence: CC BY NC-ND 4.0Lecture I. I’ll give a complete elementary presentation of the essential features of the Perron Frobenius theory of nonnegative matrices for the central case of primitive matrices (the "Perr
From playlist École d’été 2013 - Théorie des nombres et dynamique