If we take a look at the difference quotient here, we notice that it is symmetrical, which is to say, the samples used to calculate the second derivative lie symmetrically around the point at which we seek to calculate the derivative. This means we can create a Hermitian matrix descri...
a) Explain why hermitian operators are important in quantum mechanics. b) Use the expression for the momentum operator \hat{p_x}to derive the expression for the kinetic energy operator \hat{T_x} . c Determine if the following is correct based on a ...