Mathematical quantization | Topology of homogeneous spaces | Symplectic geometry
In mathematics, the Lagrangian Grassmannian is the smooth manifold of Lagrangian subspaces of a real symplectic vector space V. Its dimension is 1/2n(n + 1) (where the dimension of V is 2n). It may be identified with the homogeneous space U(n)/O(n), where U(n) is the unitary group and O(n) the orthogonal group. Following Vladimir Arnold it is denoted by Λ(n). The Lagrangian Grassmannian is a submanifold of the ordinary Grassmannian of V. A complex Lagrangian Grassmannian is the complex homogeneous manifold of Lagrangian subspaces of a complex symplectic vector space V of dimension 2n. It may be identified with the homogeneous space of complex dimension 1/2n(n + 1) Sp(n)/U(n), where Sp(n) is the compact symplectic group. (Wikipedia).
Physics 68 Lagrangian Mechanics (1 of 25) What is Lagrangian Mechanics?
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what is, when to use, and why do we need Lagrangian mechanics. Next video in this series can be seen at: https://youtu.be/uFnTRJ2be7I
From playlist PHYSICS 68 ADVANCED MECHANICS: LAGRANGIAN MECHANICS
How To Derive The Hamiltonian From The Lagrangian Like a Normie
I made a video on how to convert from lagrangian to hamiltonian: https://www.youtube.com/watch?v=0H9T2_dMfW8&t=2s Now I actually derive the relationship! Interested in tutoring? Check out the following link: dotsontutoring.simplybook.me or email dotsontutoring.gmail.com
From playlist Math/Derivation Videos
Euler-Lagrange equation explained intuitively - Lagrangian Mechanics
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From playlist Physics
The Beauty of Lagrangian Mechanics (SoME2 )
This video provides an introduction to the concepts in Lagrangian Mechanics, this will be the first in a series covering Lagrangian Mechanics, with the upcoming videos being more in-depth! This video is my submission for 3Blue1Brown's second summer math exhibition! Math animations made u
From playlist Summer of Math Exposition 2 videos
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From playlist Mathematics
Iva Halacheva: Schubert calculus and self-dual puzzles
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From playlist Useful math
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From playlist Maryland Analysis and Geometry Atelier
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From playlist Mathematics
Physics 68 Lagrangian Mechanics (3 of 25) The Partial Derivative W.R.T. Position
Visit http://ilectureonline.com for more math and science lectures! In this video I will show how the partial derivative of Lagrangian equation can be use in deriving the basic equations for free-fall, simple-harmonic-motion with spring, and coulomb's law equations. Next video in this se
From playlist PHYSICS 68 ADVANCED MECHANICS: LAGRANGIAN MECHANICS
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From playlist Bicentenaire Joseph-Louis Lagrange
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From playlist Physics ONE
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From playlist Italian
Joel Kamnitzer: Symplectic duality and (generalized) affine Grassmannian slices
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From playlist Theoretische Mechanik