Time-Dependent Density Functional Theory
Associate Professor Neepa Maitra of Hunter College explains how she uses time-dependent density functional theory to examine the effects of magnetic fields on atoms, molecules and solids.
From playlist Density Functional Theory (DFT), Vasp, and Molecular Mechanics - Beginner's Lectures
Robert Seiringer: The local density approximation in density functional theory
We present a mathematically rigorous justification of the Local Density Approximation in density functional theory. We provide a quantitative estimate on the difference between the grand-canonical Levy-Lieb energy of a given density (the lowest possible energy of all quantum st
From playlist Mathematical Physics
(PP 6.4) Density for a multivariate Gaussian - definition and intuition
The density of a (multivariate) non-degenerate Gaussian. Suggestions for how to remember the formula. Mathematical intuition for how to think about the formula.
From playlist Probability Theory
Time-Independent Schrödinger Equation | Quantum Mechanics
In this video, we will talk about the time-independent Schrödinger equation in quantum mechanics. If we start with the time-dependent Schrödinger equation, we can get to the time-independent one by performing a separation of variables on the wave function, where we claim that the time depe
From playlist Quantum Mechanics, Quantum Field Theory
Stationary States in Quantum Mechanics
We use separation of variables to study solutions to the time-dependent Schrodinger's equation, and demonstrate the existence of stationary states - states whose probability density is independent of time.
From playlist Quantum Mechanics Uploads
(PP 6.7) Geometric intuition for the multivariate Gaussian (part 2)
How to visualize the effect of the eigenvalues (scaling), eigenvectors (rotation), and mean vector (shift) on the density of a multivariate Gaussian.
From playlist Probability Theory
Coordinate Scaling Constraints in Density and Density- Matrix Functional Theories
Mel Levy, Tulane University, USA
From playlist Distinguished Visitors Lecture Series
Chp9Pr41: Probability Density Functions
A continuous random variable can be described using a function called the probability density function. This video shows us how to prove that a function is a probability density function. This is Chapter 9 Problem 41 from the MATH1231/1241 algebra notes. Presented by Dr Diana Combe from th
From playlist Mathematics 1B (Algebra)
Infinite-density versus large deviations theory for fat-tailed systems by Erez Aghion
Large deviation theory in statistical physics: Recent advances and future challenges DATE: 14 August 2017 to 13 October 2017 VENUE: Madhava Lecture Hall, ICTS, Bengaluru Large deviation theory made its way into statistical physics as a mathematical framework for studying equilibrium syst
From playlist Large deviation theory in statistical physics: Recent advances and future challenges
(PP 6.6) Geometric intuition for the multivariate Gaussian (part 1)
How to visualize the effect of the eigenvalues (scaling), eigenvectors (rotation), and mean vector (shift) on the density of a multivariate Gaussian.
From playlist Probability Theory
On the optimal control of a Kohn-Sham quantum model - A. Borzi - PRACQSYS 2018 - CEB T2 2018
Alfio Borzi (Institut für Mathematik, Universität Würzburg, Emil-Fischer-Strasse 30, Würzburg, Germany) / 05.07.2018 On the optimal control of a Kohn-Sham quantum model A Kohn-Sham (KS) model is a system of nonlinear coupled Schrödinger equations that describe multi-particle quantum syst
From playlist 2018 - T2 - Measurement and Control of Quantum Systems: Theory and Experiments
An Introduction to Tensor Renormalization Group (Lecture 2) by Daisuke Kadoh
PROGRAM NONPERTURBATIVE AND NUMERICAL APPROACHES TO QUANTUM GRAVITY, STRING THEORY AND HOLOGRAPHY (HYBRID) ORGANIZERS: David Berenstein (University of California, Santa Barbara, USA), Simon Catterall (Syracuse University, USA), Masanori Hanada (University of Surrey, UK), Anosh Joseph (II
From playlist NUMSTRING 2022
Vikram Gavini - DFT 2 - Density functional theory - IPAM at UCLA
Recorded 15 March 2023. Vikram Gavini of the University of Michigan presents "DFT 2 - density functional theory" at IPAM's New Mathematics for the Exascale: Applications to Materials Science Tutorials. Learn more online at: http://www.ipam.ucla.edu/programs/workshops/new-mathematics-for-th
From playlist 2023 New Mathematics for the Exascale: Applications to Materials Science Tutorials
Emmanuel Giner - Curing basis set convergence of WFT w/ DFT: overview of framework and some results
Recorded 03 May 2022. Emmanuel Giner of the Centre National de la Recherche Scientifique presents "Curing basis set convergence of WFT with DFT: overview of framework and some results" at IPAM's Large-Scale Certified Numerical Methods in Quantum Mechanics Workshop. Learn more online at: ht
From playlist 2022 Large-Scale Certified Numerical Methods in Quantum Mechanics
Quantum Theory - the Born Interpretation: Oxford Mathematics 2nd Year Student Lecture
Here is the latest lecture in the series of undergraduate lectures that we are making available to give an insight in to life in Oxford Mathematics. This lecture from James Sparks is taken from his Second Year Quantum Theory course. So far in the course we've met the Schrodinger equation
From playlist Oxford Mathematics 2nd Year Student Lectures
Fluctuations of current in non-stationary diffusive lattice gases by Baruch Meerson
PROGRAM URL : http://www.icts.res.in/program/NESP2015 DATES : Monday 26 Oct, 2015 - Friday 20 Nov, 2015 VENUE : Ramanujan Lecture Hall, ICTS Bangalore DESCRIPTION : This program will be organized as an advanced discussion workshop on some topical issues in nonequilibrium statstical phys
From playlist Non-equilibrium statistical physics
Andreas Savin - Beyond density functional approximations by lessons from density functional theory
Recorded 13 April 2022. Andreas Savin of Sorbonne Université presents "Getting beyond density functional approximations by using lessons from density functional theory" at IPAM's Model Reduction in Quantum Mechanics Workshop. Abstract: Joint work with Jacek Karwowski, Yvon Maday, Etienne P
From playlist 2022 Model Reduction in Quantum Mechanics Workshop
Collective and single particle correlations in a binary mixture : dependence by Shankar P Das
29 May 2017 to 02 June 2017 VENUE: Ramanujan Lecture Hall, ICTS Bangalore This program aims to bring together people working on classical and quantum systems with disorder and interactions. The extensive exploration, through experiments, simulations and model calculations, of growing cor
From playlist Correlation and Disorder in Classical and Quantum Systems
This calculus 2 video tutorial provides a basic introduction into probability density functions. It explains how to find the probability that a continuous random variable such as x in somewhere between two values by evaluating the definite integral from a to b. The probability is equival
From playlist New Calculus Video Playlist
Andrew Millis - Twisted Transition Metal Dicalcogenides: Tests of Quantum Embedding and Theories
Recorded 29 March 2022. Andrew Millis of Columbia University presents "Twisted Transition Metal Dicalcogenides: Experimental Tests of Quantum Embedding and Theories" at IPAM's Multiscale Approaches in Quantum Mechanics Workshop. Abstract: The essential task of quantum many-body theory is t
From playlist 2022 Multiscale Approaches in Quantum Mechanics Workshop