The "particle in a box" is a foundational concept in quantum mechanics that serves to illustrate key principles of quantum theory. It describes a simple model where a particle, such as an electron, is confined to a one-dimensional region of space, typically a box or a well with infinitely high potential walls. This model helps to understand how quantum systems behave under the influence of confinement.
A quantum well is a potential energy structure where charge carriers (such as electrons and holes) are confined in a very thin region, typically on the nanometer scale. This confinement occurs in one dimension, allowing the carriers to move freely in the other two dimensions. Quantum wells are a key component in various semiconductor devices and have a significant impact on their electronic and optical properties.
A quasiprobability distribution is a mathematical construct used primarily in quantum mechanics and quantum information theory. It extends the concept of classical probability distributions to accommodate the peculiar behaviors of quantum systems, which can exhibit phenomena such as superposition and entanglement. In classical probability, distributions must adhere to certain constraints, such as non-negativity and normalization, where all probabilities sum to one.
The quantum harmonic oscillator is a fundamental concept in quantum mechanics that describes the behavior of a particle subject to a restoring force that is proportional to its displacement from an equilibrium position. This model is essential for understanding various physical systems, such as vibrations in molecules, phonons in solid-state physics, and quantum field theory. Here's a detailed overview of the quantum harmonic oscillator: ### 1.
The transverse-field Ising model (TFIM) is a fundamental model in statistical mechanics and quantum physics used to study phase transitions and quantum critical phenomena. It is an extension of the classical Ising model, which describes spins on a lattice that can take on values of +1 or -1, interacting with their neighbors. In the TFIM, in addition to the nearest-neighbor interactions, a transverse magnetic field is applied, which influences the spins in a direction perpendicular to the Ising interactions.
The Law of Attraction is a concept rooted in the New Thought movement, which emerged in the late 19th century. It posits that individuals can attract positive or negative experiences into their lives through their thoughts, beliefs, and emotions. The core idea is that like attracts like; therefore, focusing on positive thoughts and feelings can bring about positive outcomes, while negative thoughts can lead to negative experiences.
"The Tao of Physics" is a book written by physicist Fritjof Capra, first published in 1975. In this work, Capra explores the connections between modern physics, particularly quantum mechanics and relativity, and the philosophical and spiritual traditions of Eastern religions, such as Buddhism, Taoism, and Hinduism. The book argues that the insights of contemporary physics bear a resemblance to the mystical insights found in these ancient spiritual traditions.
The Glauber–Sudarshan P representation is an important tool in quantum optics and quantum mechanics for describing the statistical state of a quantum system, particularly in the context of light and bosonic fields. This representation provides a way to express the density operator (or state) of a quantum system as a distribution over the phase space of classical probabilities. ### Key Concepts 1.
The Mandel Q parameter is a measure used in quantum optics to quantify the non-classicality of light. It is defined in terms of the number of photons in a given mode of light and refers to the degree of deviation of photon number statistics from that expected for classical light sources.
Fractions in mathematics represent a way to express a part of a whole. A fraction consists of two main components: 1. **Numerator**: The number on the top, which indicates how many parts you have. 2. **Denominator**: The number on the bottom, which indicates how many equal parts the whole is divided into.
Graphene is a single layer of carbon atoms arranged in a two-dimensional honeycomb lattice. It is known for its remarkable electrical, thermal, and mechanical properties. Here are some key characteristics and applications of graphene: ### Properties: 1. **Strength**: Graphene is extremely strong—about 200 times stronger than steel—yet very lightweight. 2. **Electrical Conductivity**: It has exceptional electrical conductivity, making it conducive for electronic applications.
A strained quantum-well laser (SQWL) is a type of semiconductor laser that utilizes quantum wells under strain to enhance performance characteristics. Quantum wells are thin layers of semiconductor material where charge carriers (electrons and holes) are confined in one dimension, leading to quantized energy levels. In a strained quantum-well laser, the quantum wells are created within a lattice structure that is intentionally misaligned or geometrically altered.
Attila Grandpierre is a Hungarian physicist and philosopher known for his work in theoretical physics, particularly in areas related to the foundations of quantum mechanics and cosmology. He has also contributed to discussions on the intersection of science and philosophy. Grandpierre is recognized for his holistic approach to science, emphasizing the interconnectedness of various scientific disciplines and the philosophical implications of scientific theories.
Howard M. Wiseman is an Australian theoretical physicist known for his work in the fields of quantum physics, particularly quantum information and quantum measurement theory. He has contributed to various aspects of quantum mechanics, including research on quantum entanglement and the foundations of quantum theory. Wiseman has also been involved in developing the framework for quantum measurement and has made significant contributions to the understanding of the role of measurement in quantum systems. His work often encompasses both theoretical developments and potential applications in quantum technologies.
CloudMask is a specific cloud service or tool designed to assist in cloud-based data management, security, or processing tasks, particularly in the context of cloud storage or data analysis. It allows users to protect sensitive data by masking or anonymizing it, ensuring privacy and compliance with various regulations.
Ira N. Levine is a prominent American physicist known for his contributions to the field of physical chemistry and chemistry education. He is particularly recognized for his work on the principles of physical chemistry, which has been widely disseminated through his textbook, "Physical Chemistry." This textbook is often used in university courses and is appreciated for its clarity and comprehensive coverage of the subject. Levine has had a significant impact on both the academic community and students studying chemistry.
A dosimeter is a device used to measure an individual's exposure to ionizing radiation, such as gamma rays, X-rays, and beta particles. It is commonly used in environments where radiation exposure is a concern, such as in nuclear power plants, medical facilities, research laboratories, and during certain industrial processes. Dosimeters come in various forms, including: 1. **Film Badges**: These contain a photographic film that darkens in response to radiation exposure.
A battery eliminator circuit is an electronic circuit designed to provide the equivalent voltage and current of a battery to a device without actually using a physical battery. These circuits are often used in applications where a device typically powered by batteries can be operated continuously or when it is used in a fixed location, such as during testing, prototype development, or in applications where the cost or inconvenience associated with replacing batteries frequently is a concern.
Michelle Simmons is an Australian physicist known for her work in quantum computing and nanotechnology. She has made significant contributions to the development of silicon-based quantum computers and has been a prominent advocate for STEM (science, technology, engineering, and mathematics) education and increasing diversity in these fields. Simmons was awarded numerous honors throughout her career, including being named a fellow of the Australian Academy of Science and receiving the prestigious 2018 Australian of the Year award.
Peter R. Holland is a notable figure primarily recognized for his contributions to the field of zoology, particularly in the study of reptiles and amphibians. He is known for his work on the systematics and biogeography of various species, as well as his research on their evolutionary relationships.
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





