Hi all! I was messing around with the equation for time dilation. What I wanted to do was see how the time of a moving observer ##t'## changed with respect to the time of a stationary observer ##t##. So I differentiated the equation for time dilation ##t'## with respect to ##t##:
$$\frac {dt'}...
The Hamiltonian ##H## is generally defined as the sum of the kinetic and potential energy operators or ##H=T+V##. Right away, this appears to be the total energy of the system, so we could then say that for a wave function ##\psi## that
##H\psi=E\psi##
where ##E## is the energy operator. This...
The time-dependent Schrodinger equation is given by:
##-\frac{\hslash^{2}}{2m}\triangledown^{2}\psi+V\psi=i\hslash\frac{\partial }{\partial t}\psi##
Obviously, there is a laplacian in the kinetic energy operator. So, I was wondering if the equation was rearranged as...