The energy levels of a particle of mass m in a two dimensional square box of side L are given by (n 1 2 n 2 2 ) h 2 8 mL 2 Do any of these levels have the same energy If so, find the values of the quantum numbers n 1 and n 2 for the first three cases ...

The energy levels of a particle of mass m in a two-dimensional square box of side L

Question:

The energy levels of a particle of mass m in a two-dimensional square box of side L are given by (n₁² + n₂²) h²/8 mL² . Do any of these levels have the same energy? If so, find the values of the quantum numbers n₁ and n₂ for the first three cases.