Commutation relations and the uncertainty principle - Consider two hermitian operators A and B which satisfy the following commutation relation: [A, B] = AB-BA=iC, where C is also a hermitian operator in general. Let us introduce a new operator Q defined by: Q=A+ iλB, with λ being a real number, and consider the following scalar product: Where is any normalized wave function? (...

Hermitian conjugate - Note that all the derivatives in the problem are partials with respect to x, and the i is an imaginary number Find the Hermitian Conjugate (operator O-dagger) of the opeator O (operator) = (d/dx)*(x^2)*(d^2/dx^2) + (1 + 3i)*x*d/dx

Finite Square Well Within An Infinite Square Well - For some reason I cannot end up with the expression in part A. If someone could go through this problem I would appreciate it. PS. The professor did not respond to my question whether there was a typo in the equation in part A. Since I cannot end up with the equation in part A and since it was suggested that the equation is wrong no matter wh...