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
In this video, I explain function space and how to change the basis vectors we use to describe function. This lead us to a different understanding of Taylor series, Fourier series and most series. I also explain the Heisenberg uncertainty principle using function space. Additionnal video
From playlist Summer of Math Exposition Youtube Videos
C36 Example problem solving a Cauchy Euler equation
An example problem of a homogeneous, Cauchy-Euler equation, with constant coefficients.
From playlist Differential Equations
Deriving Heisenberg's Uncertainty Principle from General Uncertainty Relations
Heisenberg's uncertainty relation is one of the most important equations in quantum mechanics. In this video, we will show you how to derive it by going over more general uncertainty relations, derived by Schrödinger and Robertson. Contents: 00:00 Introduction 00:15 Derivation 03:06 Gene
From playlist Quantum Mechanics, Quantum Field Theory
The Schrodinger equation made simple | Linearity
We've talked about the quantum state plenty- but what happens to it over time? That's exactly the question the Schrodinger equation solves. This video we talk about 'Linearity'. In the next video we discuss the equation itself and its derivation. Click here fore that: https://youtu.be/DEgW
From playlist Quantum Mechanics (all the videos)
Physics - Modern Physics (12 of 26) What is the Heisenberg Uncertainty Principle?
Visit http://ilectureonline.com for more math and science lectures! In this video I will show you how to use the Heisenberg Uncertain Principle to calculate the uncertainty of a wavelength.
From playlist MOST POPULAR VIDEOS
The reason for the Heisenberg Uncertainty Principle
This video will focus on why the uncertainty principle happens. We'll see that you need surprisingly little to explain it. My last quantum video I explained what the Heisenberg Uncertainty Principle is, so you can go check that out here: http://youtu.be/ZpwZgOumTrs
From playlist Fourier
Solve a Bernoulli Differential Equation Initial Value Problem
This video provides an example of how to solve an Bernoulli Differential Equations Initial Value Problem. The solution is verified graphically. Library: http://mathispower4u.com
From playlist Bernoulli Differential Equations
Quantitative propagation for solutions of elliptic equations – A. Logunov & E. Malinnikova – ICM2018
Partial Differential Equations | Geometry Invited Lecture 10.11 | 5.12 Quantitative propagation of smallness for solutions of elliptic equations Alexander Logunov & Eugenia Malinnikova Abstract: Let u be a solution to an elliptic equation div(A∇u)=0 with Lipschitz coefficients in ℝⁿ. Ass
From playlist Geometry
MAST30026 Lecture 12: Function spaces (Part 4)
We completed the proof that the adjunction property holds for the space of continuous functions from a locally compact Hausdorff space, reminded ourselves of some of the immediate consequences of this theorem, and then began motivating the construction of a metric on function spaces. Lect
From playlist MAST30026 Metric and Hilbert spaces
MAST30026 Lecture 18: Banach spaces (Part 1)
There are many Lipschitz equivalent metrics on Euclidean space, apart from the sup-metric (which we have successfully generalised to function spaces) there are also metrics defined using sums. To generalise those, we need integrals, and the resulting theory leads to Banach spaces. In this
From playlist MAST30026 Metric and Hilbert spaces
MAST30026 Lecture 11: Hausdorff spaces (Part 1)
I introduced the Hausdorff condition, proved some basic properties, discussed the "real line with a double point" as an example of a non-Hausdorff space, proved that a compact subspace of a Hausdorff space is closed, and that continuous bijections from compact to Hausdorff spaces are homeo
From playlist MAST30026 Metric and Hilbert spaces
MAST30026 Lecture 11: Hausdorff spaces (Part 3)
This lecture contains the second half of the proof that a finite CW-complex is a Hausdorff space. Lecture notes: http://therisingsea.org/notes/mast30026/lecture11.pdf The class webpage: http://therisingsea.org/post/mast30026/ Have questions? I hold free public online office hours for thi
From playlist MAST30026 Metric and Hilbert spaces
MAST30026 Lecture 12: Function spaces (Part 2)
The aim of this lecture was to motivate the definition of the compact-open topology on function spaces, via the adjunction property. I explained how any topology making the adjunction property true must include a certain class of open sets, which we will define next lecture to be a sub-bas
From playlist MAST30026 Metric and Hilbert spaces
Lars Andersson - Geometry and analysis in black hole spacetimes (Part 4)
Black holes play a central role in general relativity and astrophysics. The problem of proving the dynamical stability of the Kerr black hole spacetime, which is describes a rotating black hole in vacuum, is one of the most important open problems in general relativity. Following a brief i
From playlist Ecole d'été 2014 - Analyse asymptotique en relativité générale
An introduction to the Gromov-Hausdorff distance
Title: An introduction to the Gromov-Hausdorff distance Abstract: We give a brief introduction to the Hausdorff and Gromov-Hausdorff distances between metric spaces. The Hausdorff distance is defined on two subsets of a common metric space. The Gromov-Hausdorff distance is defined on any
From playlist Tutorials
Hausdorff dimensions in p-adic analytic groups by Anitha Thillaisundaram
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
Quantitative decompositions of Lipschitz mappings - Guy C. David
Analysis Seminar Topic: Quantitative decompositions of Lipschitz mappings Speaker: Guy C. David Affiliation: Ball State University Date: May 12, 2020 For more video please visit http://video.ias.edu
From playlist Mathematics
Lars Andersson - Geometry and analysis in black hole spacetimes (Part 3)
Black holes play a central role in general relativity and astrophysics. The problem of proving the dynamical stability of the Kerr black hole spacetime, which is describes a rotating black hole in vacuum, is one of the most important open problems in general relativity. Following a brief i
From playlist Ecole d'été 2014 - Analyse asymptotique en relativité générale
What is a Manifold? Lesson 6: Topological Manifolds
Topological manifolds! Finally! I had two false starts with this lesson, but now it is fine, I think.
From playlist What is a Manifold?