An electron confined to a one-dimensional box of length L is in a superposition of two states, described by the following wavefunction: Ψ(x,t)=1/√2 ψₘ(x)e⁻ᶦᴱᵐᵗ/ʰ+ 1/√2 ψₙ (x)e⁻ᶦᴱᵐᵗ/ʰ, where ψₘ(x) and ψₙ(x) are the eigenfunctions for the m-th and n-th eigenstates, with corresponding energy eigenvalues Eₘ and Eₙ, respectively. Calculate the probability density of the two superposed states and show that it oscillates with a period T given by: T=2πℏ/Eₘ−Eₙ. How do you interpret the resulting time dependent behaviour?