Functional analysis

Schur's property

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).

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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

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A moment with Aaron Sauers

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

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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

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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

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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

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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

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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

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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

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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 ***

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

Related pages

Sequence space | Weak topology | Mathematics | Issai Schur | Normed vector space | Schur's theorem