1. The problem statement, all variables and given/known data 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. 2. Relevant equations a+=1/square root(2hmw)*(-ip+mwx) a_=1/square root(2hmw)*(ip+mwx) a+a_= 1/hw*(H) - 1/2 3. 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.