What does pauli exclusion principle mean?
Definitions for pauli exclusion principle
pauli ex·clu·sion prin·ci·ple
This dictionary definitions page includes all the possible meanings, example usage and translations of the word pauli exclusion principle.
Princeton's WordNet
Pauli exclusion principle, exclusion principlenoun
no two electrons or protons or neutrons in a given system can be in states characterized by the same set of quantum numbers
Wiktionary
Pauli exclusion principlenoun
A principle in quantum mechanics that states that no two identical fermions may occupy the same quantum state simultaneously.
Etymology: For, Austrian physicist
Wikipedia
Pauli exclusion principle
In quantum mechanics, the Pauli exclusion principle states that two or more identical particles with half-integer spins (i.e. fermions) cannot occupy the same quantum state within a quantum system simultaneously. This principle was formulated by Austrian physicist Wolfgang Pauli in 1925 for electrons, and later extended to all fermions with his spin–statistics theorem of 1940. In the case of electrons in atoms, it can be stated as follows: it is impossible for two electrons of a poly-electron atom to have the same values of the four quantum numbers: n, the principal quantum number; ℓ, the azimuthal quantum number; mℓ, the magnetic quantum number; and ms, the spin quantum number. For example, if two electrons reside in the same orbital, then their n, ℓ, and mℓ values are the same; therefore their ms must be different, and thus the electrons must have opposite half-integer spin projections of 1/2 and −1/2. Particles with an integer spin, or bosons, are not subject to the Pauli exclusion principle: any number of identical bosons can occupy the same quantum state, as with, for instance, photons produced by a laser or atoms in a Bose–Einstein condensate. A more rigorous statement is that, concerning the exchange of two identical particles, the total (many-particle) wave function is antisymmetric for fermions, and symmetric for bosons. This means that if the space and spin coordinates of two identical particles are interchanged, then the total wave function changes its sign for fermions and does not change for bosons. If two fermions were in the same state (for example the same orbital with the same spin in the same atom), interchanging them would change nothing and the total wave function would be unchanged. The only way the total wave function can both change sign as required for fermions and also remain unchanged is that this function must be zero everywhere, which means that the state cannot exist. This reasoning does not apply to bosons because the sign does not change.
ChatGPT
pauli exclusion principle
The Pauli Exclusion Principle is a fundamental principle in quantum mechanics that states that no two identical fermions (particles with half-integer spin) can occupy the same quantum state simultaneously in a quantum system. This principle was articulated by Austrian physicist Wolfgang Pauli in 1925. It is essential for understanding the structure of matter, especially the behavior of electrons within atoms.
Wikidata
Pauli exclusion principle
The Pauli exclusion principle is the quantum mechanical principle that no two identical fermions may occupy the same quantum state simultaneously. A more rigorous statement is that the total wave function for two identical fermions is anti-symmetric with respect to exchange of the particles. The principle was formulated by Austrian physicist Wolfgang Pauli in 1925. For example, no two electrons in a single atom can have the same four quantum numbers; if n, ℓ, and mℓ are the same, ms must be different such that the electrons have opposite spins, and so on. Integer spin particles, bosons, are not subject to the Pauli exclusion principle: any number of identical bosons can occupy the same quantum state, as with, for instance, photons produced by a laser and Bose–Einstein condensate.
Matched Categories
Numerology
Chaldean Numerology
The numerical value of pauli exclusion principle in Chaldean Numerology is: 3
Pythagorean Numerology
The numerical value of pauli exclusion principle in Pythagorean Numerology is: 4
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"pauli exclusion principle." Definitions.net. STANDS4 LLC, 2024. Web. 28 Apr. 2024. <https://www.definitions.net/definition/pauli+exclusion+principle>.
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