Consider a one dimensional free particle, for which the Hamiltonian commutes with the momentum operator. Which of the following statements is false?
1
All energy eigenfunctions are eigenfunctions of momentum too.
2
All momentum eigenfunctions are eigenfunctions of Hamiltonian too.
3
The position operator does not commute with the Hamiltonian.
4
The position uncertainty of a momentum eigenfunction is infinite.
5
Question Not Attempted