
Fermions cannot occupy the same quantum state
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Fermions cannot occupy the same quantum state
Electrons in the same orbital must have different spin quantum numbers (ms), which can only be +1/2 or -1/2. This difference in spin states is essential for the stability of atoms and the formation of chemical bonds.
Example
In a helium atom, both electrons must have different ms values (+1/2 and -1/2) even though they share the same n, ℓ, and mℓ values.
Remember this
Understanding the Pauli exclusion principle is vital for explaining atomic and molecular structures, influencing chemical reactions, and the properties of materials.
Text adapted from Wikipedia, licensed under CC BY-SA 4.0.
Eastin–Knill theorem
No quantum error correcting code can have a continuous symmetry acting transversely on physical qubits
Fermi–Dirac statistics
Fermi-Dirac statistics govern fermions' energy distribution
Cooper pair
Cooper pairs are bound electrons with opposite spin and momentum
Asymptotic safety
Quarks interact more weakly at higher energies, earning the 2004 Nobel Prize
Quantum tunnelling
Quantum tunneling allows particles to pass through barriers they cannot classically surmount
Entanglement swapping
Entanglement swapping transfers entanglement between particles
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