Logo
Unionpedia
Communication
Get it on Google Play
New! Download Unionpedia on your Android™ device!
Free
Faster access than browser!
 

Angular momentum coupling

Index Angular momentum coupling

In quantum mechanics, the procedure of constructing eigenstates of total angular momentum out of eigenstates of separate angular momenta is called angular momentum coupling. [1]

55 relations: Angular momentum, Angular momentum diagrams (quantum mechanics), Astronomical object, Astronomy, Atom, Atomic nucleus, Atomic physics, Basis (linear algebra), Commutator, Constant of motion, Coulomb's law, Coupling (physics), Dresselhaus effect, Eigenvalues and eigenvectors, Electron, Electron magnetic moment, Electronic band structure, Euclidean vector, Hamiltonian (quantum mechanics), Helium, Henry Norris Russell, Hilbert space, Hydrogen atom, Hyperfine structure, Macroscopic scale, Nuclear magnetic resonance, Nuclear shell model, Orbital mechanics, Orbital motion (quantum), Orbital resonance, Photon, Planet, Quantum chemistry, Quantum mechanics, Quantum number, Quantum state, Rashba effect, Rigid rotor, Rotation group SO(3), Rydberg formula, Rydberg state, Schrödinger equation, Selection rule, Solid-state physics, Special unitary group, Spectroscopy, Spherical basis, Spin (physics), Spin–orbit interaction, Subatomic particle, ..., Tensor product, Term symbol, Tide, Torque, Uncertainty principle. Expand index (5 more) »

Angular momentum

In physics, angular momentum (rarely, moment of momentum or rotational momentum) is the rotational equivalent of linear momentum.

New!!: Angular momentum coupling and Angular momentum · See more »

Angular momentum diagrams (quantum mechanics)

In quantum mechanics and its applications to quantum many-particle systems, notably quantum chemistry, angular momentum diagrams, or more accurately from a mathematical viewpoint angular momentum graphs, are a diagrammatic method for representing angular momentum quantum states of a quantum system allowing calculations to be done symbolically.

New!!: Angular momentum coupling and Angular momentum diagrams (quantum mechanics) · See more »

Astronomical object

An astronomical object or celestial object is a naturally occurring physical entity, association, or structure that exists in the observable universe.

New!!: Angular momentum coupling and Astronomical object · See more »

Astronomy

Astronomy (from ἀστρονομία) is a natural science that studies celestial objects and phenomena.

New!!: Angular momentum coupling and Astronomy · See more »

Atom

An atom is the smallest constituent unit of ordinary matter that has the properties of a chemical element.

New!!: Angular momentum coupling and Atom · See more »

Atomic nucleus

The atomic nucleus is the small, dense region consisting of protons and neutrons at the center of an atom, discovered in 1911 by Ernest Rutherford based on the 1909 Geiger–Marsden gold foil experiment.

New!!: Angular momentum coupling and Atomic nucleus · See more »

Atomic physics

Atomic physics is the field of physics that studies atoms as an isolated system of electrons and an atomic nucleus.

New!!: Angular momentum coupling and Atomic physics · See more »

Basis (linear algebra)

In mathematics, a set of elements (vectors) in a vector space V is called a basis, or a set of, if the vectors are linearly independent and every vector in the vector space is a linear combination of this set.

New!!: Angular momentum coupling and Basis (linear algebra) · See more »

Commutator

In mathematics, the commutator gives an indication of the extent to which a certain binary operation fails to be commutative.

New!!: Angular momentum coupling and Commutator · See more »

Constant of motion

In mechanics, a constant of motion is a quantity that is conserved throughout the motion, imposing in effect a constraint on the motion.

New!!: Angular momentum coupling and Constant of motion · See more »

Coulomb's law

Coulomb's law, or Coulomb's inverse-square law, is a law of physics for quantifying the amount of force with which stationary electrically charged particles repel or attract each other.

New!!: Angular momentum coupling and Coulomb's law · See more »

Coupling (physics)

In physics, two objects are said to be coupled when they are interacting with each other.

New!!: Angular momentum coupling and Coupling (physics) · See more »

Dresselhaus effect

The Dresselhaus effect is a phenomenon in solid-state physics in which spin–orbit interaction causes energy bands to split.

New!!: Angular momentum coupling and Dresselhaus effect · See more »

Eigenvalues and eigenvectors

In linear algebra, an eigenvector or characteristic vector of a linear transformation is a non-zero vector that changes by only a scalar factor when that linear transformation is applied to it.

New!!: Angular momentum coupling and Eigenvalues and eigenvectors · See more »

Electron

The electron is a subatomic particle, symbol or, whose electric charge is negative one elementary charge.

New!!: Angular momentum coupling and Electron · See more »

Electron magnetic moment

In atomic physics, the electron magnetic moment, or more specifically the electron magnetic dipole moment, is the magnetic moment of an electron caused by its intrinsic properties of spin and electric charge.

New!!: Angular momentum coupling and Electron magnetic moment · See more »

Electronic band structure

In solid-state physics, the electronic band structure (or simply band structure) of a solid describes the range of energies that an electron within the solid may have (called energy bands, allowed bands, or simply bands) and ranges of energy that it may not have (called band gaps or forbidden bands).

New!!: Angular momentum coupling and Electronic band structure · See more »

Euclidean vector

In mathematics, physics, and engineering, a Euclidean vector (sometimes called a geometric or spatial vector, or—as here—simply a vector) is a geometric object that has magnitude (or length) and direction.

New!!: Angular momentum coupling and Euclidean vector · See more »

Hamiltonian (quantum mechanics)

In quantum mechanics, a Hamiltonian is an operator corresponding to the total energy of the system in most of the cases.

New!!: Angular momentum coupling and Hamiltonian (quantum mechanics) · See more »

Helium

Helium (from lit) is a chemical element with symbol He and atomic number 2.

New!!: Angular momentum coupling and Helium · See more »

Henry Norris Russell

Prof Henry Norris Russell FRS(For) HFRSE FRAS (October 25, 1877 – February 18, 1957) was an American astronomer who, along with Ejnar Hertzsprung, developed the Hertzsprung–Russell diagram (1910).

New!!: Angular momentum coupling and Henry Norris Russell · See more »

Hilbert space

The mathematical concept of a Hilbert space, named after David Hilbert, generalizes the notion of Euclidean space.

New!!: Angular momentum coupling and Hilbert space · See more »

Hydrogen atom

A hydrogen atom is an atom of the chemical element hydrogen.

New!!: Angular momentum coupling and Hydrogen atom · See more »

Hyperfine structure

In atomic physics, hyperfine structure refers to small shifts and splittings in the energy levels of atoms, molecules and ions, due to interaction between the state of the nucleus and the state of the electron clouds.

New!!: Angular momentum coupling and Hyperfine structure · See more »

Macroscopic scale

The macroscopic scale is the length scale on which objects or phenomena are large enough to be visible almost practically with the naked eye, without magnifying optical instruments.

New!!: Angular momentum coupling and Macroscopic scale · See more »

Nuclear magnetic resonance

Nuclear magnetic resonance (NMR) is a physical phenomenon in which nuclei in a magnetic field absorb and re-emit electromagnetic radiation.

New!!: Angular momentum coupling and Nuclear magnetic resonance · See more »

Nuclear shell model

In nuclear physics and nuclear chemistry, the nuclear shell model is a model of the atomic nucleus which uses the Pauli exclusion principle to describe the structure of the nucleus in terms of energy levels.

New!!: Angular momentum coupling and Nuclear shell model · See more »

Orbital mechanics

Orbital mechanics or astrodynamics is the application of ballistics and celestial mechanics to the practical problems concerning the motion of rockets and other spacecraft.

New!!: Angular momentum coupling and Orbital mechanics · See more »

Orbital motion (quantum)

Quantum orbital motion involves the quantum mechanical motion of rigid particles (such as electrons) about some other mass, or about themselves.

New!!: Angular momentum coupling and Orbital motion (quantum) · See more »

Orbital resonance

In celestial mechanics, an orbital resonance occurs when orbiting bodies exert a regular, periodic gravitational influence on each other, usually because their orbital periods are related by a ratio of small integers.

New!!: Angular momentum coupling and Orbital resonance · See more »

Photon

The photon is a type of elementary particle, the quantum of the electromagnetic field including electromagnetic radiation such as light, and the force carrier for the electromagnetic force (even when static via virtual particles).

New!!: Angular momentum coupling and Photon · See more »

Planet

A planet is an astronomical body orbiting a star or stellar remnant that is massive enough to be rounded by its own gravity, is not massive enough to cause thermonuclear fusion, and has cleared its neighbouring region of planetesimals.

New!!: Angular momentum coupling and Planet · See more »

Quantum chemistry

Quantum chemistry is a branch of chemistry whose primary focus is the application of quantum mechanics in physical models and experiments of chemical systems.

New!!: Angular momentum coupling and Quantum chemistry · See more »

Quantum mechanics

Quantum mechanics (QM; also known as quantum physics, quantum theory, the wave mechanical model, or matrix mechanics), including quantum field theory, is a fundamental theory in physics which describes nature at the smallest scales of energy levels of atoms and subatomic particles.

New!!: Angular momentum coupling and Quantum mechanics · See more »

Quantum number

Quantum numbers describe values of conserved quantities in the dynamics of a quantum system.

New!!: Angular momentum coupling and Quantum number · See more »

Quantum state

In quantum physics, quantum state refers to the state of an isolated quantum system.

New!!: Angular momentum coupling and Quantum state · See more »

Rashba effect

The Rashba effect is a momentum-dependent splitting of spin bands in crystals and low-dimensional condensed matter systems (such as heterostructures and surface states) similar to the splitting of particles and anti-particles in the Dirac Hamiltonian.

New!!: Angular momentum coupling and Rashba effect · See more »

Rigid rotor

The rigid rotor is a mechanical model that is used to explain rotating systems.

New!!: Angular momentum coupling and Rigid rotor · See more »

Rotation group SO(3)

In mechanics and geometry, the 3D rotation group, often denoted SO(3), is the group of all rotations about the origin of three-dimensional Euclidean space R3 under the operation of composition.

New!!: Angular momentum coupling and Rotation group SO(3) · See more »

Rydberg formula

The Rydberg formula is used in atomic physics to describe the wavelengths of spectral lines of many chemical elements.

New!!: Angular momentum coupling and Rydberg formula · See more »

Rydberg state

The Rydberg states of an atom or molecule are electronically excited states with energies that follow the Rydberg formula as they converge on an ionic state with an ionization energy.

New!!: Angular momentum coupling and Rydberg state · See more »

Schrödinger equation

In quantum mechanics, the Schrödinger equation is a mathematical equation that describes the changes over time of a physical system in which quantum effects, such as wave–particle duality, are significant.

New!!: Angular momentum coupling and Schrödinger equation · See more »

Selection rule

In physics and chemistry, a selection rule, or transition rule, formally constrains the possible transitions of a system from one quantum state to another.

New!!: Angular momentum coupling and Selection rule · See more »

Solid-state physics

Solid-state physics is the study of rigid matter, or solids, through methods such as quantum mechanics, crystallography, electromagnetism, and metallurgy.

New!!: Angular momentum coupling and Solid-state physics · See more »

Special unitary group

In mathematics, the special unitary group of degree, denoted, is the Lie group of unitary matrices with determinant 1.

New!!: Angular momentum coupling and Special unitary group · See more »

Spectroscopy

Spectroscopy is the study of the interaction between matter and electromagnetic radiation.

New!!: Angular momentum coupling and Spectroscopy · See more »

Spherical basis

In pure and applied mathematics, particularly quantum mechanics and computer graphics and their applications, a spherical basis is the basis used to express spherical tensors.

New!!: Angular momentum coupling and Spherical basis · See more »

Spin (physics)

In quantum mechanics and particle physics, spin is an intrinsic form of angular momentum carried by elementary particles, composite particles (hadrons), and atomic nuclei.

New!!: Angular momentum coupling and Spin (physics) · See more »

Spin–orbit interaction

In quantum physics, the spin–orbit interaction (also called spin–orbit effect or spin–orbit coupling) is a relativistic interaction of a particle's spin with its motion inside a potential.

New!!: Angular momentum coupling and Spin–orbit interaction · See more »

Subatomic particle

In the physical sciences, subatomic particles are particles much smaller than atoms.

New!!: Angular momentum coupling and Subatomic particle · See more »

Tensor product

In mathematics, the tensor product of two vector spaces and (over the same field) is itself a vector space, together with an operation of bilinear composition, denoted by, from ordered pairs in the Cartesian product into, in a way that generalizes the outer product.

New!!: Angular momentum coupling and Tensor product · See more »

Term symbol

In quantum mechanics, the term symbol is an abbreviated description of the (total) angular momentum quantum numbers in a multi-electron atom (however, even a single electron can be described by a term symbol).

New!!: Angular momentum coupling and Term symbol · See more »

Tide

Tides are the rise and fall of sea levels caused by the combined effects of the gravitational forces exerted by the Moon and the Sun and the rotation of Earth.

New!!: Angular momentum coupling and Tide · See more »

Torque

Torque, moment, or moment of force is rotational force.

New!!: Angular momentum coupling and Torque · See more »

Uncertainty principle

In quantum mechanics, the uncertainty principle (also known as Heisenberg's uncertainty principle) is any of a variety of mathematical inequalities asserting a fundamental limit to the precision with which certain pairs of physical properties of a particle, known as complementary variables, such as position x and momentum p, can be known.

New!!: Angular momentum coupling and Uncertainty principle · See more »

Redirects here:

Jj coupling, Jj-coupling, LS coupling, LS-coupling, Ls coupling, Orbit-orbit coupling, Russel-Saunders coupling, Russell-Saunders States, Russell-Saunders coupling, Russell-Saunders state, Russell-Saunders states, Russell–Saunders coupling, Russell–Saunders state, Russell–Saunders states, Russell−Saunders States, Russell−Saunders state, Russel–Saunders coupling, S-s coupling, Spin spin coupling, Spin-spin coupling, Ss coupling.

References

[1] https://en.wikipedia.org/wiki/Angular_momentum_coupling

OutgoingIncoming
Hey! We are on Facebook now! »