Instead of a commutation relation lâ, ât] = 1, which is true for photons, assume that the creation and annihilation operators satisfy âât + âtâ = 1. Show that the number operator N = â'â satisfies âN = (1 – N)â %3D âtN = (1– N)ât
Instead of a commutation relation lâ, ât] = 1, which is true for photons, assume that the creation and annihilation operators satisfy âât + âtâ = 1. Show that the number operator N = â'â satisfies âN = (1 – N)â %3D âtN = (1– N)ât
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![Instead of a commutation relation lâ, ât] = 1, which is true for photons, assume that the
creation and annihilation operators satisfy ât + âtâ = 1.
Show that the number operator N = â'â satisfies
âN = (1 – N)â
â'Ñ = (1 – Njât](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F776abc4f-cfd9-408d-886d-6f315054ca57%2Fbe5ab33f-678c-477a-9c8a-7131e9a774bb%2Fj12i1pj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Instead of a commutation relation lâ, ât] = 1, which is true for photons, assume that the
creation and annihilation operators satisfy ât + âtâ = 1.
Show that the number operator N = â'â satisfies
âN = (1 – N)â
â'Ñ = (1 – Njât
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