Quantum mechanics
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Theoretical physics
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Physical system
Quantum models
Engineering quantum science into quantum reality
The University of Bristol has today launched its new state-of-the-art Quantum Engineering Technology (QET) Labs. The QET Labs will provide unique world-leading facilities, bringing together industrial...
Helium atom
A helium atom is an atom of the chemical element helium. Helium is composed of two electrons bound by the electromagnetic force to a nucleus containing two protons along with either one or two neutro...
SCOP formalism
Particle in a ring
In quantum mechanics, the case of a particle in a one-dimensional ring is similar to the particle in a box. The Schrödinger equation for a free particle which is restricted to a ring (technically, who...
SCOP Formalism
Our minds are able to construct a multitude of imaginary, hypothetical, or counterfactual deviations from the more prototypical states of particular concept, and the State COntext Property (SCOP)...
Delta potential
In quantum mechanics the delta potential is a potential well mathematically described by the Dirac delta function - a generalized function. Qualitatively, it corresponds to a potential which is zero e...
Delta potential - Wikipedia
Electron wave-packet interference
The green plane is the x-y-plane, where two (non-interacting) electron wave-packets meet. The vertical direction shows the real part of . The semi-transparent white plane in the top shows the density ...
Electron wave-packet interference - Wikipedia
Quantum harmonic oscillator
The quantum harmonic oscillator is the quantum-mechanical analog of the classical harmonic oscillator. Because an arbitrary potential can usually be approximated as a harmonic potential at the vicin...
Quantum harmonic oscillator - Wikipedia
List of quantum-mechanical systems with analytical solutions
Much insight in quantum mechanics can be gained from understanding the solutions to the time-dependent non-relativistic Schrödinger equation in an appropriate configuration space. In vector Cartesian ...
List of quantum-mechanical systems with analytical solutions - Wikipedia
Particle in a one-dimensional lattice
In quantum mechanics, the particle in a one-dimensional lattice is a problem that occurs in the model of a periodic crystal lattice. The potential is caused by ions in the periodic structure of the cr...
Particle in a one-dimensional lattice - Wikipedia
Quantum pendulum
The quantum pendulum is fundamental in understanding hindered internal rotations in chemistry, quantum features of scattering atoms as well as numerous other quantum phenomena. Though a pendulum not ...
Two-electron atom
In atomic physics, a two-electron atom or helium-like ion is a quantum mechanical system consisting of one nucleus with a charge of Ze and just two electrons. This is the first case of many-electron s...
Particle in a spherically symmetric potential
An important kind of problem in quantum mechanics is that of a particle in a spherically symmetric potential, i.e., a potential that depends only on the distance between the particle and a defined cen...
Two-state quantum system
In quantum mechanics, a two-state system (also known as a two-level system) is a system which can exist in any quantum superposition of two independent (physically distinguishable) quantum states. The...
Two-state quantum system - Wikipedia
1s Slater-type function
A normalized 1s Slater-type function is a function which is used in the descriptions of atoms and in a broader way in the description of atoms in molecules. It is particularly important as the accurat...
Diatomic molecule
Diatomic molecules are molecules composed of only two atoms, of either the same or different chemical elements. The prefix di- is of Greek origin, meaning "two". If a diatomic molecule consists of two...
Diatomic molecule - Wikipedia
Quantum LC circuit
An LC circuit can be quantized using the same methods as for the quantum harmonic oscillator. An LC circuit is a variety of resonant circuit, and consists of an inductor, represented by the letter L,...
Quantum LC circuit - Wikipedia
Quantum cognition
Quantum cognition is an emerging field which applies the mathematical formalism of quantum theory to model cognitive phenomena such as information processing by the human brain, decision making, human...
Hooke's atom
Hooke's atom, also known as harmonium or hookium, refers to an artificial helium-like atom where the Coulombic electron-nucleus interaction potential is replaced by a harmonic potential. This system i...
Hydrogen-like atom
A hydrogen-like ion is any atomic nucleus with one electron and thus is isoelectronic with hydrogen. Except for the hydrogen atom itself (which is neutral), these ions carry the positive charge , wher...
Particle in a box
In quantum mechanics, the particle in a box model (also known as the infinite potential well or the infinite square well) describes a particle free to move in a small space surrounded by impenetrable ...
Particle in a box - Wikipedia
Semicircular potential well
In quantum mechanics, the case of a particle in a one-dimensional ring is similar to the particle in a box. The particle follows the path of a semicircle from to where it cannot escape, because the ...
Hydrogen atom
A hydrogen atom is an atom of the chemical element hydrogen. The electrically neutral atom contains a single positively charged proton and a single negatively charged electron bound to the nucleus by ...
Hydrogen atom - Wikipedia
Quantum capacitance
Quantum capacitance, also called chemical capacitance is a quantity first introduced by Serge Luryi (1988).In the simplest example, if you make a parallel-plate capacitor where one or both of the plat...
Spherium
The "spherium" model consists of two electrons trapped on the surface of a sphere of radius . It has been used by Berry and collaborators to understand both weakly and strongly correlated systems and...