Question

2) Prove the quantum mechanical virial theorem for any stationary state of a 1-d system moving in an arbitrary potential: $langle psi(t) vert x_{op} frac{partial V}{partial x_{op}} vert psi(t) angle = 2 langle psi(t) vert K vert psi(t) angle$, where $K$ is the kinetic energy (Hint: Consider the expectation value of the commutator $[H, x_{op} frac{partial}{partial x_{op}}]$

          2) Prove the quantum mechanical virial theorem for any stationary state of a 1-d system moving in an arbitrary potential: $langle psi(t) vert x_{op} frac{partial V}{partial x_{op}} vert psi(t) 
angle = 2 langle psi(t) vert K vert psi(t) 
angle$, where $K$ is the kinetic energy (Hint: Consider the expectation value of the commutator $[H, x_{op} frac{partial}{partial x_{op}}]$

$2) Prove the quantum mechanical virial theorem for any stationary state of a 1-d system moving in an arbitrary potential: langle psi(t) vert xop fracpartial Vpartial xop vert psi(t) angle = 2 langle psi(t) vert K vert psi(t) angle, where K is the kinetic energy (Hint: Consider the expectation value of the commutator [H, xop fracpartialpartial xop]$

Added by Alexis C.

Question

Please give Ace some feedback