In mathematics, Schur's property, named after Issai Schur, is the property of normed spaces that is satisfied precisely if weak convergence of sequences entails convergence in norm. (Wikipedia).
Unpacking the Schrödinger Equation
We've talked about the Schrödinger equation before, but we really didn't dig into it with any depth at all. Now it's time to really get in there and do the math. What is the Hamiltonian operator? What is the time-independent Schrödinger equation? What we can we do with this equation? Let's
From playlist Modern Physics
Aaron Sauers is a bridge between Fermilab and industry. As Fermilab's patent and licensing executive, he works with the lab's inventors to find ways that their innovations can help tackle problems and improve our everyday lives. By exploring areas of common interest between the lab and pri
From playlist Better know a researcher
Dealing with Schrodinger's Equation - The Hamiltonian
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. Schrodinger's
From playlist Quantum Mechanics
Quantum Mechanics and the Schrödinger Equation
Okay, it's time to dig into quantum mechanics! Don't worry, we won't get into the math just yet, for now we just want to understand what the math represents, and come away with a new and improved view of the electron as both a circular standing wave and a cloud of probability density. Spoo
From playlist Modern Physics
Irreducibility and the Schoenemann-Eisenstein criterion | Famous Math Probs 20b | N J Wildberger
In the context of defining and computing the cyclotomic polynumbers (or polynomials), we consider irreducibility. Gauss's lemma connects irreducibility over the integers to irreducibility over the rational numbers. Then we describe T. Schoenemann's irreducibility criterion, which uses some
From playlist Famous Math Problems
What are the properties that make up a rectangle
👉 Learn how to solve problems with rectangles. A rectangle is a parallelogram with each of the angles a right angle. Some of the properties of rectangles are: each pair of opposite sides are equal, each pair of opposite sides are parallel, all the angles are right angles, the diagonals are
From playlist Properties of Rectangles
Representation of finite groups over arbitrary fields by Ravindra S. Kulkarni
PROGRAM GROUP ALGEBRAS, REPRESENTATIONS AND COMPUTATION ORGANIZERS: Gurmeet Kaur Bakshi, Manoj Kumar and Pooja Singla DATE: 14 October 2019 to 23 October 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Determining explicit algebraic structures of semisimple group algebras is a fund
From playlist Group Algebras, Representations And Computation
Physics - Ch 66 Ch 4 Quantum Mechanics: Schrodinger Eqn (13 of 92) Time & Position Dependencies 2/3
Visit http://ilectureonline.com for more math and science lectures! In this video I will find C=?, of the position part of the Schrodinger's equation by using the time dependent part of Schrodinger's equation, part 2/3. Next video in this series can be seen at: https://youtu.be/1mxipWt-W
From playlist PHYSICS 66.1 QUANTUM MECHANICS - SCHRODINGER EQUATION
RT8.1. Schur Orthogonality Relations
Representation Theory of Finite Groups: As a first step to Fourier analysis on finite groups, we state and prove the Schur Orthogonality Relations. With these relations, we may form an orthonormal basis of matrix coefficients for L^(G), the set of functions on G. We also define charac
From playlist *** The Good Stuff ***
RT4.2. Schur's Lemma (Expanded)
Representation Theory: We introduce Schur's Lemma for irreducible representations and apply it to our previous constructions. In particular, we identify Hom(V,V) with invariant sesquilinear forms on V when (pi, V) is unitary. Course materials, including problem sets and solutions, availa
From playlist Representation Theory
Claude Lefèvre: Discrete Schur-constant models in inssurance
Abstract : This paper introduces a class of Schur-constant survival models, of dimension n, for arithmetic non-negative random variables. Such a model is defined through a univariate survival function that is shown to be n-monotone. Two general representations are obtained, by conditioning
From playlist Probability and Statistics
Logarithmic concavity of Schur polynomials - June Huh
Members' Seminar Topic: Logarithmic concavity of Schur polynomials Speaker: June Huh Visiting Professor, School of Mathematics Date: October 7, 2019 For more video please visit http://video.ias.edu
From playlist Mathematics
Representation theory: The Schur indicator
This is about the Schur indicator of a complex representation. It can be used to check whether an irreducible representation has in invariant bilinear form, and if so whether the form is symmetric or antisymmetric. As examples we check which representations of the dihedral group D8, the
From playlist Representation theory
Reducibility for the Quasi-Periodic Liner Schrodinger and Wave Equations - Lars Hakan Eliasson
Lars Hakan Eliasson University of Paris VI; Institute for Advanced Study February 21, 2012 We shall discuss reducibility of these equations on the torus with a small potential that depends quasi-periodically on time. Reducibility amounts to "reduce” the equation to a time-independent linea
From playlist Mathematics
Schurs Exponent Conjecture by Viji Z. Thomas
PROGRAM GROUP ALGEBRAS, REPRESENTATIONS AND COMPUTATION ORGANIZERS: Gurmeet Kaur Bakshi, Manoj Kumar and Pooja Singla DATE: 14 October 2019 to 23 October 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Determining explicit algebraic structures of semisimple group algebras is a fund
From playlist Group Algebras, Representations And Computation
Alexander Moll: A new spectral theory for Schur polynomials and applications
Abstract: After Fourier series, the quantum Hopf-Burgers equation vt+vvx=0 with periodic boundary conditions is equivalent to a system of coupled quantum harmonic oscillators, which may be prepared in Glauber's coherent states as initial conditions. Sending the displacement of each oscilla
From playlist Combinatorics
Separation of variables and the Schrodinger equation
A brief explanation of separation of variables, application to the time-dependent Schrodinger equation, and the solution to the time part. (This lecture is part of a series for a course based on Griffiths' Introduction to Quantum Mechanics. The Full playlist is at http://www.youtube.com/
From playlist Mathematical Physics II - Youtube
How Coloring Triangles Revolutionized Mathematics [Schur's Theorem]
#some2 An explanation of Schur's Theorem and New Perspectives. This video was a submission to the Second Summer of Math Exposition. Also, apologies for the bad audio quality. SOURCES: MIT OCW 18.217: https://ocw.mit.edu/courses/18-217-graph-theory-and-additive-combinatorics-fall-2019/
From playlist Summer of Math Exposition 2 videos
Mod-01 Lec-36 Spectral Theorem
Elementary Numerical Analysis by Prof. Rekha P. Kulkarni,Department of Mathematics,IIT Bombay.For more details on NPTEL visit http://nptel.ac.in
From playlist NPTEL: Elementary Numerical Analysis | CosmoLearning Mathematics
Physics - Chapt. 66 Quantum Mechanics (8 of 9) Schrodinger's Equation
Visit http://ilectureonline.com for more math and science lectures! In this video I will introduce Schrodinger and explain his partial differential equation describing how the quantum state changes with time. Next video in the series can be seen at: https://youtu.be/lptfhi_cQLc
From playlist PHYSICS 66 - QUANTUM MECHANICS