Quantum field theory lecture by Tobias Osborne (2017) Lecture 4 by
Ciro Santilli 40 Updated 2025-07-16
- quantization. Uses a more or less standard way to guess the quantized system from the classical one using Hamiltonian mechanics.
- youtu.be/fnMcaq6QqTY?t=1179 remembers how to solve the non-field quantum harmonic oscillator
- youtu.be/fnMcaq6QqTY?t=2008 puts hats on everything to make the field version of things. With the Klein-Gordon equation Hamiltonian, everything is analogous to the harmonic oscilator
Nia Imara is an artist and writer known for her work that often explores themes related to identity, culture, and the African diaspora. She combines various mediums, including painting and writing, to express her perspectives on race and social issues. Imara’s work frequently draws inspiration from her own background and experiences, and she aims to create narratives that amplify underrepresented voices.
A contour set, often referred to in the context of mathematical functions or data visualization, typically represents a set of points that have the same value of a given function.
The term "3-folds" can refer to different concepts depending on the context in which it is used. Here are a few possible interpretations: 1. **Mathematics and Geometry**: In mathematics, "3-folds" often refers to three-dimensional objects or structures. In the context of algebraic geometry, a "3-fold" (or threefold) is a type of space that is defined by three dimensions.
Direct Anonymous Attestation (DAA) is a cryptographic protocol designed to enable secure and anonymous authentication, particularly in the context of hardware security modules such as Trusted Platform Modules (TPMs). The primary purpose of DAA is to allow a TPM to prove to a verifier (like an online service or another system) that it is a genuine, certified TPM without revealing its identity or the identity of the user it is serving.
"Discriminant" can refer to different contexts, but it seems like you might be referring to a book related to mathematics, particularly algebra, or perhaps a literary work that addresses themes of discrimination or differentiation. 1. **Mathematics Context**: In mathematics, particularly in algebra, the discriminant is a component of quadratic equations that helps determine the nature of their roots.
A hybrid cryptosystem is a cryptographic system that combines the strengths of both symmetric and asymmetric (public-key) encryption to secure communications. This approach leverages the efficiency of symmetric encryption for bulk data encryption while using asymmetric encryption for secure key exchange. ### Key Features: 1. **Symmetric Encryption**: - Fast and efficient for encrypting large amounts of data. - Uses a single secret key for both encryption and decryption.
Population informatics is an interdisciplinary field that involves the integration, analysis, and interpretation of data related to populations, typically focusing on human populations. This field leverages various methods from statistics, computer science, social sciences, and public health to gather and analyze large sets of demographic, health-related, social, and environmental data.
"American physicist stubs" refers to short, incomplete articles or entries about American physicists that are hosted on platforms like Wikipedia. The term "stub" is used in the context of wikis to describe pages that provide only minimal information and are in need of expansion. These stubs typically contain basic details such as the physicist's name, key contributions, and perhaps a brief biography, but lack comprehensive information about their work, impact, or life.
Strong cryptography refers to cryptographic techniques and algorithms that provide a high level of security, making it extremely difficult for unauthorized individuals to decipher or tamper with information. Strong cryptography typically involves the use of advanced mathematical algorithms and protocols to ensure the confidentiality, integrity, and authenticity of data. Key characteristics of strong cryptography include: 1. **Key Length**: Strong cryptographic algorithms use long key lengths, which significantly increase the complexity and time required to break the encryption via brute force attacks.
American crystallographers refer to scientists and researchers in the United States who study crystallography, the branch of science that examines the arrangement of atoms within crystalline solids. Crystallography involves techniques and methodologies used to understand the structure, properties, and behavior of crystalline materials, which can include anything from metals and minerals to biological macromolecules like proteins and nucleic acids. American crystallographers often contribute to advancements in various fields, including materials science, chemistry, biology, and physics.
"Cartography by city" typically refers to the practice of creating maps that focus on specific urban areas or cities. This can involve various aspects of mapping, including: 1. **Topographical Maps**: These show the physical features of a city, including its terrain, hills, rivers, and lakes. 2. **Political Maps**: These outline the boundaries of different districts, neighborhoods, and municipalities within a city.
"Kepler" is a novel by the German author and playwright Ewald Arenz. The book, published in 2020, is a fictionalized account of the life of the renowned astronomer and mathematician Johannes Kepler, who is famous for his laws of planetary motion and contributions to the scientific revolution. The novel presents Kepler's struggles, both personal and professional, as he faces challenges in a time of significant religious and scientific upheaval in the late Renaissance.
Pinned article: Introduction to the OurBigBook Project
Welcome to the OurBigBook Project! Our goal is to create the perfect publishing platform for STEM subjects, and get university-level students to write the best free STEM tutorials ever.
Everyone is welcome to create an account and play with the site: ourbigbook.com/go/register. We belive that students themselves can write amazing tutorials, but teachers are welcome too. You can write about anything you want, it doesn't have to be STEM or even educational. Silly test content is very welcome and you won't be penalized in any way. Just keep it legal!
Intro to OurBigBook
. Source. We have two killer features:
- topics: topics group articles by different users with the same title, e.g. here is the topic for the "Fundamental Theorem of Calculus" ourbigbook.com/go/topic/fundamental-theorem-of-calculusArticles of different users are sorted by upvote within each article page. This feature is a bit like:
- a Wikipedia where each user can have their own version of each article
- a Q&A website like Stack Overflow, where multiple people can give their views on a given topic, and the best ones are sorted by upvote. Except you don't need to wait for someone to ask first, and any topic goes, no matter how narrow or broad
This feature makes it possible for readers to find better explanations of any topic created by other writers. And it allows writers to create an explanation in a place that readers might actually find it.Figure 1. Screenshot of the "Derivative" topic page. View it live at: ourbigbook.com/go/topic/derivativeVideo 2. OurBigBook Web topics demo. Source. - local editing: you can store all your personal knowledge base content locally in a plaintext markup format that can be edited locally and published either:This way you can be sure that even if OurBigBook.com were to go down one day (which we have no plans to do as it is quite cheap to host!), your content will still be perfectly readable as a static site.
- to OurBigBook.com to get awesome multi-user features like topics and likes
- as HTML files to a static website, which you can host yourself for free on many external providers like GitHub Pages, and remain in full control
Figure 3. Visual Studio Code extension installation.Figure 4. Visual Studio Code extension tree navigation.Figure 5. Web editor. You can also edit articles on the Web editor without installing anything locally.Video 3. Edit locally and publish demo. Source. This shows editing OurBigBook Markup and publishing it using the Visual Studio Code extension.Video 4. OurBigBook Visual Studio Code extension editing and navigation demo. Source. - Infinitely deep tables of contents:
All our software is open source and hosted at: github.com/ourbigbook/ourbigbook
Further documentation can be found at: docs.ourbigbook.com
Feel free to reach our to us for any help or suggestions: docs.ourbigbook.com/#contact





