Second quantization, also referred to as occupation number representation, is a formalism used to describe and analyze quantum many-body systems. In quantum field theory, it is known as canonical quantization, in which the fields (typically as the wave functions of matter) are thought of as field operators, in a manner similar to how the physical quantities (position, momentum, etc.) are thought of as operators in first quantization. The key ideas of this method were introduced in 1927 by Paul Dirac, and were later developed, most notably, by Pascual Jordan and Vladimir Fock.In this approach, the quantum many-body states are represented in the Fock state basis, which are constructed by filling up each single-particle state with a certain number of identical particles. The second quantization formalism introduces the creation and annihilation operators to construct and handle the Fock states, providing useful tools to the study of the quantum many-body theory. (Wikipedia).
The true second derivative test
In this video I present the second derivative test in multivariable calculus, which is used to find local maxima/minima/saddle points of a function. However, unlike the nonsense they usually teach in the books, here I'm presenting a more elegant way with some linear algebra blended in. I'm
From playlist Partial Derivatives
Second Derivative of Vector-Valued Function Example 2
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From playlist Calculus
The Second Derivative of Parametric Equations - Part 2 of 2
This video explains how to determine the second derivative of parametric equations and how to determine when a curve written in parametric form is concave up or concave down. http://mathispower4u.yolasite.com/
From playlist Parametric Equations
Second Derivative of Vector-Valued Function Example 1
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From playlist Calculus
Second partial derivative test intuition
The second partial derivative test is based on a formula which seems to come out of nowhere. Here, you can see a little more intuition for why it looks the way it does.
From playlist Multivariable calculus
The Second Derivative of Parametric Equations - Part 1 of 2
Complete Video List: http://www.mathispower4u.yolasite.com This video explains how to determine the second derivative of parametric equations and how to determine when a curve written in parametric form is concave up or concave down.
From playlist Parametric Equations
The Two-Dimensional Discrete Fourier Transform
The two-dimensional discrete Fourier transform (DFT) is the natural extension of the one-dimensional DFT and describes two-dimensional signals like images as a weighted sum of two dimensional sinusoids. Two-dimensional sinusoids have a horizontal frequency component and a vertical frequen
From playlist Fourier
Ex 1: The Second Fundamental Theorem of Calculus
This video provides an example of how to apply the second fundamental theorem of calculus to determine the derivative of an integral. Site:http://mathispower4u.com
From playlist The Second Fundamental Theorem of Calculus
High Fidelity Neural Audio Compression | Paper & Code Explained
❤️ Become The AI Epiphany Patreon ❤️ https://www.patreon.com/theaiepiphany 👨👩👧👦 Join our Discord community 👨👩👧👦 https://discord.gg/peBrCpheKE In this video I cover the "High Fidelity Neural Audio Compression" paper and code. With 6 kbps they already get the same audio quality (as
From playlist Coding Videos
Quantization, Gauge Theory, And The Analytic Approach To Geometric... (Lecture 1) by Edward Witten
PROGRAM : QUANTUM FIELDS, GEOMETRY AND REPRESENTATION THEORY 2021 (ONLINE) ORGANIZERS : Aswin Balasubramanian (Rutgers University, USA), Indranil Biswas (TIFR, india), Jacques Distler (The University of Texas at Austin, USA), Chris Elliott (University of Massachusetts, USA) and Pranav Pan
From playlist Quantum Fields, Geometry and Representation Theory 2021 (ONLINE)
4. Atomic Spectra (Intro to Solid-State Chemistry)
MIT 3.091 Introduction to Solid-State Chemistry, Fall 2018 Instructor: Jeffrey C. Grossman View the complete course: https://ocw.mit.edu/3-091F18 Course Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP63z5HAguqleEbsICfHgDPaG Highlights Playlist: https://www.youtube.com/playlist?
From playlist MIT 3.091 Introduction to Solid-State Chemistry, Fall 2018
Deep Network Quantization and Deployment
See how to quantize, calibrate, and validate a deep neural network (DNN) in MATLAB® and deploy the quantized DNN to an embedded GPU and an FPGA hardware board. - Code Generation | Developer Tech Showcase Playlist: https://www.youtube.com/playlist?list=PLn8PRpmsu08qP0rqfgXPL8oQY_ls8ge40
From playlist AI, Machine Learning, Data Science | Developer Tech Showcase
The Second Fundamental Theorem of Calculus
This video introduces and provides some examples of how to apply the Second Fundamental Theorem of Calculus. Site: http://mathispower4u.com
From playlist The Second Fundamental Theorem of Calculus
Broadcasted live on Twitch -- Watch live at https://www.twitch.tv/simuleios
From playlist Misc
Everything You Need to Know About JPEG - Episode 2 Part 1: JPEG Markers
In this series you will learn all of the in-depth details of the complex and sophisticated JPEG image compression format In this episode, we begin learning about JPEG markers and start building the decoder Jump into the playlist here: https://www.youtube.com/watch?v=sb8CQ9knDgI&list=PLps
From playlist Fourier
Broadcasted live on Twitch -- Watch live at https://www.twitch.tv/leioslabs
From playlist research
Privacy-Preserving Machine Learning with Fully Homomorphic Encryption
A Google TechTalk, presented by Jordan Fréry, 2023-01-17 ABSTRACT: In today's digital age, protecting privacy has become increasingly difficult. However, new developments such as Fully Homomorphic Encryption (FHE) provide a means of safeguarding sensitive client information. We are excite
From playlist Differential Privacy for ML
Broadcasted live on Twitch -- Watch live at https://www.twitch.tv/simuleios
From playlist Misc
Changing notation with complex eigenvalues.
From playlist A Second Course in Differential Equations
Alexander Goncharov - 1/4 Quantum Geometry of Moduli Spaces of Local Systems...
Quantum Geometry of Moduli Spaces of Local Systems and Representation Theory Lectures 1-3 are mostly based on our recent work with Linhui Shen. Given a surface S with punctures and special points on the boundary considered modulo isotopy, and a split semi-simple adjoint group G, we defin
From playlist Alexander Goncharov - Quantum Geometry of Moduli Spaces of Local Systems and Representation Theory