In quantum physics, the quantum inverse scattering method is a method for solving integrable models in 1+1 dimensions, introduced by L. D. Faddeev in 1979. Sklyanin, E. K. (1992). "Quantum Inverse Scattering Method. Selected Topics". arXiv:hep-th/9211111. The quantum inverse scattering method relates two different approaches: 1. * the Bethe ansatz, a method of solving integrable quantum models in one space and one time dimension; 2. * the Inverse scattering transform, a method of solving classical integrable differential equations of the evolutionary type. This method led to the formulation of quantum groups. Especially interesting is the Yangian, and the center of the Yangian is given by the . An important concept in the Inverse scattering transform is the Lax representation; the quantum inverse scattering method starts by the quantization of the Lax representation and reproduces the results of the Bethe ansatz. In fact, it allows the Bethe ansatz to be written in a new form: the algebraic Bethe ansatz. This led to further progress in the understanding of quantum Integrable systems, for example:a) the Heisenberg model (quantum),b) the quantum Nonlinear Schrödinger equation (also known as the Lieb–Liniger model or the Tonks–Girardeau gas) and c) the Hubbard model. The theory of correlation functions was developed: determinant representations, descriptions by differential equations and the Riemann–Hilbert problem. Asymptotics of correlation functions (even for space, time and temperature dependence) were evaluated in 1991. Explicit expressions for the higher conservation laws of the integrable models were obtained in 1989. Essential progress was achieved in study of ice-type models: the bulk free energy of the six vertex model depends on boundary conditions even in the thermodynamic limit. (Wikipedia).
This video provides a detailed overview of Compton Scattering and its role in the development of quantum physics. The photon model of light is used to explain the Compton shift in wavelength of scattered x-rays by electrons. The principles of energy and momentum conservation are used to ca
From playlist Quantum Physics
Ex 1: Find the Inverse of a Function
This video provides two examples of how to determine the inverse function of a one-to-one function. A graph is used to verify the inverse function was found correctly. Library: http://mathispower4u.com Search: http://mathispower4u.wordpress.com
From playlist Determining Inverse Functions
Finding the inverse of a 2x2 matrix
In this video I show you one method of calculating the inverse of a square matrix. We can use this inverse to solve for a system of linear equations. Mathematica has a function called Inverse that easily calculates the inverse of a matrix. You can learn more about Mathematica on my Udem
From playlist Introducing linear algebra
35th Imaging & Inverse Problems (IMAGINE) OneWorld SIAM-IS Virtual Seminar Series Talk
Title: Orthogonality sampling methods for solving electromagnetic inverse scattering problems Date: November 17, 2021, 10:00am Eastern Time Zone (US & Canada) / 2:00pm GMT Speaker: Dinh-Liem Nguyen, Kansas State University Abstract: Broadly speaking, inverse scattering problems are the pr
From playlist Imaging & Inverse Problems (IMAGINE) OneWorld SIAM-IS Virtual Seminar Series
Alejandro Rodriguez - Physical bounds on wave phenom as quadratically constrained quadratic programs
Recorded 31 March 2022. Alejandro Rodriguez of Princeton University Mathematics presents "Physical bounds on wave phenomena as quadratically constrained quadratic programs" at IPAM's Multiscale Approaches in Quantum Mechanics Workshop. Abstract: Much of the continuing appeal and challenge
From playlist 2022 Multiscale Approaches in Quantum Mechanics Workshop
Physics - Modern Physics (7 of 26) Compton Scattering
Visit http://ilectureonline.com for more math and science lectures! In this video I will show you how to find the wavelength of the scattered photon using the Compton scattering equation.
From playlist MOST POPULAR VIDEOS
Quantum tunneling explained with 3D simulations of Schrodinger’s equation for quantum wave functions. My Patreon page is at https://www.patreon.com/EugeneK
From playlist Physics
Marco Bernardi - Quantum mechanical calculations of electron interactions in condensed matter
Recorded 12 April 2022. Marco Bernardi of the California Institute of Technology presents "Precise quantum mechanical calculations of electron interactions and dynamics in condensed matter" at IPAM's Model Reduction in Quantum Mechanics Workshop. Learn more online at: http://www.ipam.ucla.
From playlist 2022 Model Reduction in Quantum Mechanics Workshop
Calogero Particles and Fluids: A Review (Lecture 3) by Alexios Polychronakos
PROGRAM: INTEGRABLE SYSTEMS IN MATHEMATICS, CONDENSED MATTER AND STATISTICAL PHYSICS ORGANIZERS: Alexander Abanov, Rukmini Dey, Fabian Essler, Manas Kulkarni, Joel Moore, Vishal Vasan and Paul Wiegmann DATE : 16 July 2018 to 10 August 2018 VENUE: Ramanujan Lecture Hall, ICTS Bangalore
From playlist Integrable systems in Mathematics, Condensed Matter and Statistical Physics
Algebra - Solving Linear Equations by Inverse Matrix Method 1/2
Visit http://ilectureonline.com for more math and science lectures! In this lecture series I'll show you how to solve for multiple variables simultaneously using the technique called: the Inverse Matrix Method Problem Text: x - 3y = -1 4x + 3y = 11
From playlist MOST POPULAR VIDEOS
Teach Astronomy - Wavelength and Frequency
http://www.teachastronomy.com/ Wavelength and frequency have an inverse relation for electromagnetic waves. Remember that wavelength is the distance between two peaks or troughs in the radiation and frequency is the number of peaks or troughs that pass every second. Inverse relation is c
From playlist 05. Quantum Theory and Radiation
Non-equilibrium QCD dynamics on the lattice (LQCD2 - Lecture 4) by Soeren Schlichting
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
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Integrating using inverse functions
German Version: https://youtu.be/gt5TdVsIWaE In today's video we are going to learn, how to integrate inverse functions, for exapmle the inverse tangent. We are going to derive the corresponding formula and will solve the natural logarithm as an example. Help me create more and better co
From playlist Theory and Proofs
Time-independent scattering theory and its dynamical formulation (Lecture -03) by Ali Mostafazadeh
PROGRAM NON-HERMITIAN PHYSICS - PHHQP XVIII DATE :04 June 2018 to 13 June 2018 VENUE:Ramanujan Lecture Hall, ICTS Bangalore Non-Hermitian Physics-"Pseudo-Hermitian Hamiltonians in Quantum Physics (PHHQP) XVIII" is the 18th meeting in the series that is being held over the years in Qua
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Adventures in Perturbation Theory by Jake Bourjaily
PROGRAM RECENT DEVELOPMENTS IN S-MATRIX THEORY (ONLINE) ORGANIZERS: Alok Laddha, Song He and Yu-tin Huang DATE: 20 July 2020 to 31 July 2020 VENUE:Online Due to the ongoing COVID-19 pandemic, the original program has been canceled. However, the meeting will be conducted through online
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41 T PruschkeQuantum Impurity Solvers
PROGRAM: STRONGLY CORRELATED SYSTEMS: FROM MODELS TO MATERIALS DATES: Monday 06 Jan, 2014 - Friday 17 Jan, 2014 VENUE: Department of Physics, IISc Campus, Bangalore PROGRAM LINK : http://www.icts.res.in/program/MTM2014 The realistic description of materials with strong electron-electro
From playlist Strongly correlated systems: From models to materials
Bound on chaos and acoustic Hawking radiation in free fermi fluid by Takeshi Morita
PROGRAM: INTEGRABLE SYSTEMS IN MATHEMATICS, CONDENSED MATTER AND STATISTICAL PHYSICS ORGANIZERS: Alexander Abanov, Rukmini Dey, Fabian Essler, Manas Kulkarni, Joel Moore, Vishal Vasan and Paul Wiegmann DATE : 16 July 2018 to 10 August 2018 VENUE: Ramanujan Lecture Hall, ICTS Bangalore
From playlist Integrable systems in Mathematics, Condensed Matter and Statistical Physics
Step by step algorithm for finding the inverse of a function
👉 Learn how to find the inverse of a linear function. A linear function is a function whose highest exponent in the variable(s) is 1. The inverse of a function is a function that reverses the "effect" of the original function. One important property of the inverse of a function is that whe
From playlist Find the Inverse of a Function