In mathematics, an eigenfunction of a linear operator D defined on some function space is any non-zero function in that space that, when acted upon by D, is only multiplied by some scaling factor called an eigenvalue. As an equation, this condition can be written as for some scalar eigenvalue The solutions to this equation may also be subject to boundary conditions that limit the allowable eigenvalues and eigenfunctions. An eigenfunction is a type of eigenvector. (Wikipedia).
Linear Algebra: Ch 3 - Eigenvalues and Eigenvectors (5 of 35) What is an Eigenvector?
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain and show (in general) what is and how to find an eigenvector. Next video in this series can be seen at: https://youtu.be/SGJHiuRb4_s
From playlist LINEAR ALGEBRA 3: EIGENVALUES AND EIGENVECTORS
(4.1.3) Orthogonality of Eigenfunctions Theorem and Proof
This video explains and proves a theorem on the orthogonality of eigenfunctions. https://mathispower4u.com
From playlist Differential Equations: Complete Set of Course Videos
The method of determining eigenvalues as part of calculating the sets of solutions to a linear system of ordinary first-order differential equations.
From playlist A Second Course in Differential Equations
Lecture: Eigenvalues and Eigenvectors
We introduce one of the most fundamental concepts of linear algebra: eigenvalues and eigenvectors
From playlist Beginning Scientific Computing
Eigenfunctions of Angular Momentum Part 1
We use the angular momentum operators to construct the functional forms for the eigenfunctions of angular momentum, finding Associated Legendre Polynomials.
From playlist Quantum Mechanics Uploads
Eigenvalues | Eigenvalues and Eigenvectors
In this video, we work through some example computations of eigenvalues of 2x2 matrices. Including a case where the eigenvalues are complex numbers. We do not discuss any intuition or definition of eigenvalues or eigenvectors, we simply carry out some elementary computations. If you liked
From playlist Linear Algebra
A11 Eigenvalues with complex numbers
Eigenvalues which contain complex numbers.
From playlist A Second Course in Differential Equations
10A An Introduction to Eigenvalues and Eigenvectors
A short description of eigenvalues and eigenvectors.
From playlist Linear Algebra
This video explores the eigenvalues and eigenvectors of a matrix "A". This is one of the most important concepts in linear algebra. The eigenvectors represent a change of coordinates in which the "A" matrix becomes diagonal, with entries given by the eigenvalues. This allows us to easil
From playlist Engineering Math: Differential Equations and Dynamical Systems
Koopman Spectral Analysis (Representations)
In this video, we explore how to obtain finite-dimensional representations of the Koopman operator from data, using regression. This includes the use of sparse regression and neural networks, and highlights the importance of cross-validating. https://www.eigensteve.com/
From playlist Koopman Analysis
David Jerison: Localization of eigenfunctions via an effective potential
Abstract: We discuss joint work with Doug Arnold, Guy David, Marcel Filoche and Svitlana Mayboroda. Consider the Neumann boundary value problem for the operator L=divA∇+V on a Lipschitz domain Ω and, more generally, on manifolds with and without boundary. The eigenfunctions of L are often
From playlist Mathematical Physics
Propagation of Lagrangian States Under random Potentials by Martin Vogel
PROGRAM: TOPICS IN HIGH DIMENSIONAL PROBABILITY ORGANIZERS: Anirban Basak (ICTS-TIFR, India) and Riddhipratim Basu (ICTS-TIFR, India) DATE & TIME: 02 January 2023 to 13 January 2023 VENUE: Ramanujan Lecture Hall This program will focus on several interconnected themes in modern probab
From playlist TOPICS IN HIGH DIMENSIONAL PROBABILITY
Physics - Ch 66 Ch 4 Quantum Mechanics: Schrodinger Eqn (31 of 92) Momentum Eigenfunction Particle
Visit http://ilectureonline.com for more math and science lectures! In this video I will find the momentum eigenFUNCTIONS of finding a particle in a particular portion of a ground state n=1 1-D box. Next video in this series can be seen at: https://youtu.be/z6MfACOGDmY
From playlist PHYSICS 66.1 QUANTUM MECHANICS - SCHRODINGER EQUATION
Lecture 10: Clicker Bonanza and Dirac Notation
MIT 8.04 Quantum Physics I, Spring 2013 View the complete course: http://ocw.mit.edu/8-04S13 Instructor: Allan Adams In this lecture, Prof. Adams gives an review on the material covered so far by going over a series of multiple choice questions. He also touches upon the Dirac notation. L
From playlist 8.04 Quantum Physics I - Prof. Allan Adams
Many Nodal Domains in Random Regular Graphs by Nikhil Srivastava
PROGRAM: TOPICS IN HIGH DIMENSIONAL PROBABILITY ORGANIZERS: Anirban Basak (ICTS-TIFR, India) and Riddhipratim Basu (ICTS-TIFR, India) DATE & TIME: 02 January 2023 to 13 January 2023 VENUE: Ramanujan Lecture Hall This program will focus on several interconnected themes in modern probab
From playlist TOPICS IN HIGH DIMENSIONAL PROBABILITY
Perturbation Theory in Quantum Mechanics - Cheat Sheet
In this video we present all the equations you need to know when you want to do time (in)dependent, (non-)degenerate perturbation theory in non-relativistic #QuantumMechanics References: [1] Sakurai, Napolitano, "Modern Quantum Mechanics". Table of Contents: 00:00 Introduction 00:57 T
From playlist Quantum Mechanics, Quantum Field Theory
Lecture 7: More on Energy Eigenstates
MIT 8.04 Quantum Physics I, Spring 2013 View the complete course: http://ocw.mit.edu/8-04S13 Instructor: Allan Adams In this lecture, Prof. Adams outlines how to use energy eigenfunctions to conveniently solve quantum mechanical problems involving time evolution. He then discusses various
From playlist 8.04 Quantum Physics I - Prof. Allan Adams
Many Nodal Domains in Random Regular Graphs by Nikhil Srivastava
COLLOQUIUM MANY NODAL DOMAINS IN RANDOM REGULAR GRAPHS SPEAKER: Nikhil Srivastava (University of California, Berkeley) DATE: Tue, 21 December 2021, 16:30 to 18:00 VENUE:Online Colloquium ABSTRACT Sparse random regular graphs have been proposed as discrete toy models of physical sys
From playlist ICTS Colloquia
Linear Algebra - Lecture 33 - Eigenvectors and Eigenvalues
In this lecture, we define eigenvectors and eigenvalues of a square matrix. We also prove a couple of useful theorems related to these concepts.
From playlist Linear Algebra Lectures
On the geometry and topology of zero sets of Schrödinger eigenfunctions - Yaiza Canzani
Yaiza Canzani Member, School of Mathematics March 30, 2015 In this talk I will present some new results on the structure of the zero sets of Schrödinger eigenfunctions on compact Riemannian manifolds. I will first explain how wiggly the zero sets can be by studying the number of intersect
From playlist Mathematics