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
Stable Homotopy Seminar, 1: Introduction and Motivation
We describe some features that the category of spectra is expected to have, and some ideas from topology it's expected to generalize. Along the way, we review the Freudenthal suspension theorem, and the definition of a generalized cohomology theory. ~~~~~~~~~~~~~~~~======================
From playlist Stable Homotopy Seminar
Introduction to additive combinatorics lecture 10.8 --- A weak form of Freiman's theorem
In this short video I explain how the proof of Freiman's theorem for subsets of Z differs from the proof given earlier for subsets of F_p^N. The answer is not very much: the main differences are due to the fact that cyclic groups of prime order do not have lots of subgroups, so one has to
From playlist Introduction to Additive Combinatorics (Cambridge Part III course)
Stable Homotopy Theory by Samik Basu
PROGRAM DUALITIES IN TOPOLOGY AND ALGEBRA (ONLINE) ORGANIZERS: Samik Basu (ISI Kolkata, India), Anita Naolekar (ISI Bangalore, India) and Rekha Santhanam (IIT Mumbai, India) DATE & TIME: 01 February 2021 to 13 February 2021 VENUE: Online Duality phenomena are ubiquitous in mathematics
From playlist Dualities in Topology and Algebra (Online)
Lipschitz Lecture II: Expansion in collision histories and Lanford’s theorem
Speaker: Herbert Spohn (TU München) Abstract: Kinetic equations are of wide usage. A standing challenge is their derivation from an underlying mechanical model. The focus of my lectures will be on hard spheres at low density, as prime example of a particle model, and on the weakly nonlin
From playlist HIM Lectures: Lipschitz Lecture
Stable Homotopy Seminar, 18: The Steenrod Algebra (Liam Keenan)
Liam defines the Steenrod algebra, as the endomorphisms of the Eilenberg-MacLane spectrum HF_p. This naturally acts on the mod p cohomology of any space (or spectrum), and we look at the example of the mod 2 cohomology of RP^infinity. He states some of its fundamental properties allowing u
From playlist Stable Homotopy Seminar
Homotopy Group - (1)Dan Licata, (2)Guillaume Brunerie, (3)Peter Lumsdaine
(1)Carnegie Mellon Univ.; Member, School of Math, (2)School of Math., IAS, (3)Dalhousie Univ.; Member, School of Math April 11, 2013 In this general survey talk, we will describe an approach to doing homotopy theory within Univalent Foundations. Whereas classical homotopy theory may be des
From playlist Mathematics
Stable Homotopy Seminar, 6: Homotopy Groups of Spectra (D. Zack Garza)
In this episode, D. Zack Garza gives an overview of stable homotopy theory and the types of problems it was designed to solve. He defines the homotopy groups of a spectrum and computes them in the fundamental case of an Eilenberg-MacLane spectrum. ~~~~~~~~~~~~~~~~======================~~~
From playlist Stable Homotopy Seminar
How to Determine if Functions are Linearly Independent or Dependent using the Definition
How to Determine if Functions are Linearly Independent or Dependent using the Definition If you enjoyed this video please consider liking, sharing, and subscribing. You can also help support my channel by becoming a member https://www.youtube.com/channel/UCr7lmzIk63PZnBw3bezl-Mg/join Th
From playlist Zill DE 4.1 Preliminary Theory - Linear Equations
Physics - Ch 66 Ch 4 Quantum Mechanics: Schrodinger Eqn (12 of 92) Time & Position Dependencies 1/3
Visit http://ilectureonline.com for more math and science lectures! In this video I will separate the time and position dependencies of the Schrodinger's equation, part 1/3. Next video in this series can be seen at: https://youtu.be/djlpmDUtIZY
From playlist PHYSICS 66.1 QUANTUM MECHANICS - SCHRODINGER EQUATION
What is General Relativity? Lesson 69: The Einstein Equation
What is General Relativity? Lesson 69: The Einstein Equation Having done so much work with the Einstein tensor, the interpretation of the Einstein equation is almost anti-climatic! The hard part is finding the Newtonian limit in order to understand the constant of proportionality between
From playlist What is General Relativity?
The IMPOSSIBLE Sum and Product puzzle! #SoME2
Read all the detail here: https://btm.qva.mybluehost.me/solving-freudenthals-impossible-problem/ Hi YouTube! I'm exploring the world of mathematical animations, and decided I wanted to participate in the 2nd annual Summer of Math Exposition (SoME2). I've been thinking about this puzzle
From playlist Summer of Math Exposition 2 videos
Séminaire Bourbaki - 21/06/2014 - 3/4 - Thomas C. HALES
Developments in formal proofs A for mal proof is a proof that can be read and verified by computer, directly from the fundamental rules of logic and the foundational axioms of mathematics. The technology behind for mal proofs has been under development for decades and grew out of efforts i
From playlist Bourbaki - 21 juin 2014
Nonlinear algebra, Lecture 5: "Nullstellensätze ", by Bernd Sturmfels
This is the fifth lecture in the IMPRS Ringvorlesung, the advanced graduate course at the Max Planck Institute for Mathematics in the Sciences. Hilbert’s Nullstellensatz is a classical result from 1890, which offers a characterization of the set of all polynomials that vanish on a given v
From playlist IMPRS Ringvorlesung - Introduction to Nonlinear Algebra
Introduction to additive combinatorics lecture 1.8 --- Plünnecke's theorem
In this video I present a proof of Plünnecke's theorem due to George Petridis, which also uses some arguments of Imre Ruzsa. Plünnecke's theorem is a very useful tool in additive combinatorics, which implies that if A is a set of integers such that |A+A| is at most C|A|, then for any pair
From playlist Introduction to Additive Combinatorics (Cambridge Part III course)
What is General Relativity? Lesson 68: The Einstein Tensor
What is General Relativity? Lesson 68: The Einstein Tensor The Einstein tensor defined! Using the Ricci tensor and the curvature scalar we can calculate the curvature scalar of a slice of a manifold using the Einstein tensor. Please consider supporting this channel via Patreon: https:/
From playlist What is General Relativity?
Connections between classical and motivic stable homotopy theory - Marc Levine
Marc Levine March 13, 2015 Workshop on Chow groups, motives and derived categories More videos on http://video.ias.edu
From playlist Mathematics
Stable Homotopy Seminar, 15: Dualizable and invertible spectra
I present the useful fact that spectra are generated by finite complexes under filtered homotopy colimits. I then define Spanier-Whitehead duality, which is a special case of a notion of duality that exists in any closed symmetric monoidal category. Two natural classes of spectra rise from
From playlist Stable Homotopy Seminar
Periodic Orbits and Birkhoff Sections of Stable Hamiltonian Structures - Robert Cardona
Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar Topic: Periodic Orbits and Birkhoff Sections of Stable Hamiltonian Structures Speaker: Robert Cardona Affiliation: Instituto de Ciencias Matemáticas, Madrid Date: December 09, 2022 In this talk, we start by reviewin
From playlist Mathematics