Non-Hermitian quantum mechanics is a framework that extends traditional quantum mechanics, which is typically built on Hermitian operators. In standard quantum mechanics, observables are represented by Hermitian operators on a Hilbert space, ensuring that measured values (eigenvalues) are real. However, in non-Hermitian quantum mechanics, certain operators that are not Hermitian are considered, leading to different interpretations and outcomes.
Ab initio multiple spawning (AIMS) is a computational method used in quantum chemistry and molecular dynamics to study the dynamics of quantum systems, particularly in situations where electronic states are coupled, such as in photochemical reactions or nonadiabatic processes. It combines concepts from the Born-Oppenheimer approximation and nonadiabatic dynamics, allowing for the simulation of complex processes involving multiple electronic states.
CNDO/2, which stands for **Complete Neglect of Differential Overlap, version 2**, is a semi-empirical quantum chemistry method used to approximate the electronic structure of molecules. It is part of the broader class of semi-empirical molecular orbital (MO) methods, which simplify the full quantum mechanical calculations by making certain approximations to reduce computational demands.
DMol3 is a computational chemistry software package used for molecular modeling and simulation, primarily based on density functional theory (DFT) and other quantum mechanical methods. It is part of the materials simulation suite of software developed by BIOVIA, which was formerly known as Accelrys. DMol3 allows researchers to perform calculations on molecular systems to study their electronic structure, molecular dynamics, and various properties.
Dirac is a versatile software framework designed primarily for the development, testing, and deployment of complex applications, typically in the fields of mathematical modeling, simulation, and data analysis. It is particularly known for its ability to manage dependencies and facilitate reproducibility in research environments.
Laser science is the study of lasers (Light Amplification by Stimulated Emission of Radiation) and their applications. A laser is a device that produces a coherent beam of light through the process of stimulated emission, where excited atoms or molecules release photons in a uniform direction. This results in light that is monochromatic (a single wavelength), coherent (light waves are in phase), and directional (focused in a narrow beam).
HOMO and LUMO are terms used in molecular orbital theory to describe the highest occupied molecular orbital and the lowest unoccupied molecular orbital, respectively. These concepts are important in understanding the electronic structure of molecules, particularly in fields like chemistry and materials science. 1. **HOMO (Highest Occupied Molecular Orbital)**: - The HOMO is the molecular orbital that contains the highest energy electrons in a molecule. It is the most energetic orbital that is completely filled with electrons.
The **International Journal of Quantum Chemistry** is a peer-reviewed scientific journal that focuses on the field of quantum chemistry, which involves the application of quantum mechanics to chemical systems. The journal publishes original research articles, reviews, and theoretical studies that contribute to the understanding of molecular structure, dynamics, and interactions at a quantum mechanical level. Topics covered may include computational methods, quantum chemical theories, and various applications of quantum chemistry in areas like materials science, biochemistry, and nanotechnology.
Multireference Configuration Interaction (MRCI) is a sophisticated computational chemistry method used to account for electronic correlation in molecular systems, particularly when dealing with situations where single-reference methods (like Configuration Interaction, CI, or Hartree-Fock) fail to adequately describe the electronic structure. This typically occurs in systems where there are multiple nearly-degenerate states or when the system exhibits strong correlation effects, such as in transition states, excited states, or systems with open shells.
ORCA is a computational quantum chemistry program designed to perform a variety of quantum mechanical calculations on molecular systems. It is particularly known for its versatility and efficiency and is used by researchers in fields such as chemistry, material science, and biochemistry. The package is capable of performing a range of methods, including: 1. **Density Functional Theory (DFT)**: ORCA supports numerous DFT functionals, making it suitable for studying electron densities and energy landscapes.
State-universal coupled cluster (SUCC) theory is an extension of traditional coupled cluster (CC) methods in quantum chemistry that aims to systematically describe excited states and ground states of many-body quantum systems. **Traditional Coupled Cluster Theory**: Coupled cluster methods are widely used in quantum chemistry to solve the many-body Schrödinger equation. They are particularly powerful for calculating ground state properties of quantum systems.
Half-Life is a critically acclaimed first-person shooter video game series created by Valve Corporation. The series debuted in 1998 with the release of the original Half-Life, which combined traditional shooter gameplay with storytelling elements and puzzle-solving mechanics. The game follows the story of Gordon Freeman, a theoretical physicist who finds himself fighting for survival against alien creatures and military personnel after a scientific experiment goes wrong at the fictional Black Mesa Research Facility.
"Tell Me What You See" is a book by the Australian author and art historian, Christine D. H. Dunn. Published in 2022, it delves into the intricate relationship between art and perception. The book encourages readers to engage with art in a more profound way by reflecting on their interpretations and emotional responses to various artworks. Dunn’s work often explores themes of observation and interpretation, prompting readers to consider how their personal experiences and cultural backgrounds influence their understanding of art.
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.
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





