Physics · Quantum Mechanics

The eigenfunctions of a particle in a 3D cubic box of length L (with potential V = 0 inside and V = ∞ outside) are denoted as Ψ n x n y n z . Which of the following linear combinations is also an eigenfunction of the Hamiltonian?

Verified Solution4 OptionsUpdated: October 2026👁️1 View

Correct answer

φ 1 = Ψ 123 - Ψ 312

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The eigenfunctions of a particle in a 3D cubic box of length L (with potential V = 0 inside and V = &infin; outside) are denoted as &Psi; n x n y n z . Which of the following linear combinations is also an eigenfunction of the Hamiltonian?