Answered: Problem 3.16 Show that two noncommuting… | bartleby

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Problem 3.16 Show that two noncommuting operators cannot have a complete set
of common eigenfunctions. Hint: Show that if ê and Ö have a complete set of
common eigenfunctions, then P, Qf = 0 for
function in Hilbert space.

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It's a quantum mechanics question.
A particle of mass 1.60 x 10-28 kg is confined to a one-dimensional box of length 1.90 x 10-10 m. For n = 1, answer the following. (a) What is the wavelength (in m) of the wave function for the particle? m (b) What is its ground-state energy (in eV)? eV (c) What If? Suppose there is a second box. What would be the length L (in m) for this box if the energy for a particle in the n = 5 state of this box is the same as the ground-state energy found for the first box in part (b)? m (d) What would be the wavelength (in m) of the wave function for the particle in that case? m
It's a quantum mechanics question.
Solve it correctly please. I will rate accordingly.
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a question of quantum mechanics: Consider a particle in a two-dimensional potential as shown in the picture Suppose the particle is in the ground state. If we measure the position of the particle, what isthe probability of detecting it in region 0<=x,y<=L/2 ?
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