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Questions tagged [anticommutator]

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5 votes
1 answer
3k views

The implication of anti-commutation relations in quantum mechanics

All the textbooks I saw are very clear about the implications of commutating operators in quantum mechanics. However, much less is said about anti-commutation relations. Does it have a general ...
panther's user avatar
  • 51
12 votes
2 answers
5k views

Why are anticommutators needed in quantization of Dirac fields?

Why is the anticommutator actually needed in the canonical quantization of free Dirac field?
blueidea's user avatar
  • 335
59 votes
7 answers
94k views

What is the Physical Meaning of Commutation of Two Operators?

I understand the mathematics of commutation relations and anti-commutation relations, but what does it physically mean for an observable (self-adjoint operator) to commute with another observable (...
adustduke's user avatar
  • 813
21 votes
2 answers
5k views

What is the meaning of the anti-commutator term in the uncertainty principle?

What is the meaning, mathematical or physical, of the anti-commutator term? $$\langle ( \Delta A )^{2} \rangle \langle ( \Delta B )^{2} \rangle \geq \dfrac{1}{4} \vert \langle [ A,B ] \rangle \vert^{2}...
Rodrigo Thomas's user avatar

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