⟨x⟩ = L/2
: The time-independent Schrödinger equation for a free particle is given by:
: Show that the commutation relation between the position and momentum operators is given by: Introductory Quantum Mechanics Liboff 4th Edition Solutions
[x, p] = iℏ
Evaluating the commutator, we obtain:
[x, p] = xp − px
which is the energy of a free particle.
: Find the expectation value of the position operator for a particle in a one-dimensional box.