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Ferromagnetism: A state of matter with spontaneous magnetization. Antiferromagnetism: A state of matter in which the neighboring spin are antiparallel with each other, and there is no net magnetization. Ferrimagnetism: A state in which local moments partially cancel. Altermagnetism: A state with zero net magnetization and spin-split electronic ...
Quantum orbital motion involves the quantum mechanical motion of rigid particles (such as electrons) about some other mass, or about themselves.In classical mechanics, an object's orbital motion is characterized by its orbital angular momentum (the angular momentum about the axis of rotation) and spin angular momentum, which is the object's angular momentum about its own center of mass.
The basic idea can be illustrated for the basic example of spin operators of quantum mechanics. For any set of right-handed orthogonal axes, define the components of this vector operator as , and , which are mutually noncommuting, i.e., [,] = and its cyclic permutations.
In hyperfine structure, the total angular momentum of the atom is = + , where is the nuclear spin angular momentum and is the total angular momentum of the electron(s). Since F = I + J {\displaystyle ~F=I+J~} has a similar mathematical form as J = L + S , {\displaystyle ~J=L+S~,} it obeys a selection rule table similar to the table above.
At one point, when the overlap becomes significant, a macroscopic number of particles condense into the ground state. In condensed matter physics, a Bose–Einstein condensate (BEC) is a state of matter that is typically formed when a gas of bosons at very low densities is cooled to temperatures very close to absolute zero, i.e., 0 K (−273.15 ...
In atomic physics, a magnetic quantum number is a quantum number used to distinguish quantum states of an electron or other particle according to its angular momentum along a given axis in space. The orbital magnetic quantum number (m l or m [a]) distinguishes the orbitals available within a given subshell of an atom.
Forms of matter that are not composed of molecules and are organized by different forces can also be considered different states of matter. Superfluids (like Fermionic condensate) and the quark–gluon plasma are examples. In a chemical equation, the state of matter of the chemicals may be shown as (s) for solid, (l) for liquid, and (g) for gas.
The angular momentum operator plays a central role in the theory of atomic and molecular physics and other quantum problems involving rotational symmetry. Being an observable, its eigenfunctions represent the distinguishable physical states of a system's angular momentum, and the corresponding eigenvalues the observable experimental values.