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
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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