Instead of a commutation relation lâ, â†] = 1, which is true for photons, assume that the %3D creation and annihilation operators satisfy âât + atâ = 1. 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.)
Instead of a commutation relation lâ, â†] = 1, which is true for photons, assume that the %3D creation and annihilation operators satisfy âât + atâ = 1. 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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![Instead of a commutation relation lâ, ât] = 1, which is true for photons, assume that the
%3D
creation and annihilation operators satisfy ât + âtâ = 1.
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
%3D
associated with the operators ât and â.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F776abc4f-cfd9-408d-886d-6f315054ca57%2Fce896767-21d3-4888-8056-125179aa3a43%2F1j8jgmr_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
%3D
creation and annihilation operators satisfy ât + âtâ = 1.
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
%3D
associated with the operators ât and â.)
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