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Gravitonion
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I know the principle says that no two fermions canNot have the same atomic number, but could you explain that in detail?
Are you familiar with the harmonic oscillator?Gravitonion said:I know the principle says that no two fermions canNot have the same atomic number, but could you explain that in detail?
Sorry, I forgot to explain that creation and annihilation operators act in momentum space and that this means that s is a collection of momentum, spin, isospin, etc.}. Therefore they are not located anywhere in position space.Runner 1 said:They can be in the same state as long as they have different positions though right?
Pauli's 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. This means that two fermions cannot have the exact same set of quantum numbers, such as energy level, spin, and orbital angular momentum.
Pauli's exclusion principle was first proposed by Austrian physicist Wolfgang Pauli in 1925. He later received the Nobel Prize in Physics in 1945 for his contributions to quantum mechanics, which included the exclusion principle.
Pauli's exclusion principle is crucial for understanding the behavior and properties of atoms, molecules, and other quantum systems. It explains why electrons in an atom are arranged in different energy levels and why certain elements have unique chemical properties.
No, Pauli's exclusion principle only applies to fermions. Bosons, which have integer spin, do not follow this principle and can occupy the same quantum state simultaneously.
Pauli's exclusion principle is responsible for the stability of matter on a macroscopic level. If electrons did not follow this principle, all matter would collapse into a single point due to the strong electromagnetic repulsion between particles with the same quantum state.