Draw for a 3d state all the possible orientations of the angular momentum vector L . What is Lx2 + Ly2 for the mℓ = -1 component?
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Draw for a 3d state all the possible orientations of the
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- L What are the differences and similarities between the quantization of angular momentum in the Bohr model and the Schrödinger theory? Explain in your own words and use examples from both to support your explanation. 111 Responses Reply Showing All Responses ordered by Newest ResponsesThe un-normalized wave function for a negatively charged poin that is bound to a proton in an energy eigenstate is given by the equation in the provided image. b0 is a constant for this "pionic" atom that has the dimensions of length. What is the magnitude of the orbital angular momentum of the pion?7. Consider a particle in an infinite square well centered at x = 0 in one of its stationary states. For this problem, you may look up any integrals. Some useful ones are given in Harris. a) Compute (x) and (pr) for arbitrary n. Do this by direct computation but then describe how you could have found these results using symmetry (the symmetry can either be symmetry in the physical system, such as the shape of the wave function, or symmetry related to the expectation value integral, such as the shape of the integrand). b) Using your answer to part a), show that the uncertainty in the momentum is Apx nh for arbitrary n. Do this two ways: (i) first by using your answer to part a) and directly computating (p2) (via an integral) and (ii) by using your answer to part a) and relating (p2) to the kinetic energy operator. c) Show that the uncertainty principle holds for the ground state. 2L -