An electron is governed by a Hamiltonian û with energy eigenvalues En = hwn and corresponding normalized mode function U

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An Electron Is Governed By A Hamiltonian U With Energy Eigenvalues En Hwn And Corresponding Normalized Mode Function U 1 (37.87 KiB) Viewed 15 times

An electron is governed by a Hamiltonian û with energy eigenvalues En = hwn and corresponding normalized mode function Un(). The wavefunction at timet is given by (,t) = ne-iwnt Un(x). What is the condition on the coefficients cn for the wavefunction to be normal- ized? Determine the probability to be in the nth mode and say whether it de- pends on time? n