Show that Aei(kx-vt) satisfies the time-dependent Schrödinger wave equation.
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Show that Aei(kx-vt) satisfies the time-dependent Schrödinger wave equation.
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- Show that the hydrogen wave function Ψ211 is normalizedAn electron is confined to a box of width 0.25 nm. Calculate the wavelengths of the emitted photons when the electron makes transitions between the fourth and the second excited states.Q/ Show that the oscillating probability density is linear in arbitrary wave beams that oscillates with a frequency equal to that of a linear oscillator?
- An electron is confined between two perfectly reflecting walls separated by the distance 10 x 10-11m. Use the Heisenberg uncertainty relation δp δx~hbar to estimate the lowest energy that the particle can have (in eV). (You will need to think about the momentum uncertainty associated with a position uncertainty)Show that normalizing the particle-in-a-box wave function ψ_n (x)=A sin(nπx/L) gives A=√(2/L).