Particle number operator

id: particle-number-operator-321-3561808
title: Particle number operator
text: In quantum mechanics, for systems where the total number of particles may not be preserved, the number operator is the observable that counts the number of particles. The following is in bra–ket notation: The number operator acts on Fock space. Let be a Fock state, composed of single-particle states | ϕ i ⟩ drawn from a basis of the underlying Hilbert space of the Fock space. Given the corresponding creation and annihilation operators a † and a we define the number operator by and we have where
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category slug: encyclopedia
description: Operator in quantum mechanics
original url: https://en.wikipedia.org/wiki/Particle_number_operator
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date modified: 2024-03-04T16:16:10Z
main entity: {"identifier":"Q3277876","url":"https://www.wikidata.org/entity/Q3277876"}
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