Instead of a commutation relation lâ, ât] = 1, which is true for photons, assume that the%3Dcreation and annihilation operators satisfy ât + âtâ = 1.Show that the number operator N = â'â satisfiesâN = (1 – N)ââ'Ñ = (1– N)âtProve 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 stateassociated with the operators ât and â.)

When the transformation is applied to the vector, eigenvalues are numeric scalars equal to the…

Instead of a commutation relation lâ, ât] = 1, which is true for photons, assume that the %3D creation and annihilation operators satisfy âât + âtâ = 1. Show that the number operator N = â'â satisfies âN = (1 – N)â â'N = (1 – N)ât 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, ât] = 1, which is true for photons, assume that the %3D creation and annihilation operators satisfy âât + âtâ = 1. Show that the number operator N = â'â satisfies âN = (1 – N)â â'N = (1 – N)ât 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.)