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## Homework Statement

Find the matrices which represent the following ladder operators a+,a_, and a+a-

All of these operators are supposed to operate on Hilbert space, and be represented by m*n matrices.

## Homework Equations

a+=1/square root(2hmw)*(-ip+mwx)

a_=1/square root(2hmw)*(ip+mwx)

a+a_= 1/hw*(H) - 1/2

## The Attempt at a Solution

I recognize that once I find the matrix which represents a+, a_ will be represented by the conjugate of the transpose of that matrix. I also can then find a+a_ by matrix multiplication. Not sure about anything else though.