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Instead of a commutation relation [â, â¹] = 1
which is true for photons, assume that the creation
and annihilation operators satisfy ââ† + â¹â = 1
Show that the number operator N = â¹â satisfies
âÑ = (1 - Ñ)â
atŃ = (1-N)at
Prove that if one eigenvalue of N is n = 0, there is
only one other eigenvalue, n = 1. (This means that
there cannot be more than one particle in the
particular state associated with the operators
¡ât and â.)

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