Why must the wave function of a particle be normalized?
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Why must the wave function of a particle be normalized?
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- Show that the uncertainty principle can be expressed in the form ∆L ∆θ ≥ h/2, where θ is the angle and L the angular momentum. For what uncertainty in L will the angular position of a particle be completely undetermined?An electron is trapped in an infinitely deep one-dimensional well of width 10 nm. Initially, the electron occupies the n = 4 state. Suppose the electron relaxes to ground state with the accompanying emission of a photon. Calculate the energy of the photon.Show that the probability associated with the state Ψn for a particle in a one- dimensional box 0≤ x≤ L obeys the following relationship: (You can see the picture attached for the problem)
- An 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.The wave function of a particle in a one-dimensional box of width L is u(x) = A sin (7x/L). If we know the particle must be somewhere in the box, what must be the value of A?Please asap