Refer to Exercise 1C 3 If one side of the box is twice that of the other, the energy levels are given by (n 1 2 L 1 2 n 2 2 L 2 2 ) h 2 8 m Can any of these levels have identical energies If so, find the values of the quantum numbers n 1 and n 2 for the lowest levels having identical energies Exerc...

Yes some energy levels can have identical energies in the rectangular box with one side twice the ot ...

Refer to Exercise 1C.3. If one side of the box is twice that of the other, the

Question:

Refer to Exercise 1C.3. If one side of the box is twice that of the other, the energy levels are given by (n₁² / L₁² + n₂² / L₂²) * h²/8 m.

Can any of these levels have identical energies? If so, find the values of the quantum numbers n₁ and n₂ for the lowest levels having identical energies.

Exercise 1C.3

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.