9. Consider a particle without spin that is represented by the following wave function: 2 i2(x,...
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9. Consider a particle without spin that is represented by the following wave function: 2 i2(x, y, 2) = K (a? + y? - ) f(r), %3D | Where r is the traditional radial coordinate, K a normalization constant to obtain and "a" a real number. For both cases (a) Find the total angular momentum of the particle. (b) Find the expectation value of the z component of angular momentum. (c) Find the probability that when making a measure of L, the result is L, =h. %3D (d) Calculate which values can be measured and with what probability of the following quantities: 9. Consider a particle without spin that is represented by the following wave function: 2 i2(x, y, 2) = K (a? + y? - ) f(r), %3D | Where r is the traditional radial coordinate, K a normalization constant to obtain and "a" a real number. For both cases (a) Find the total angular momentum of the particle. (b) Find the expectation value of the z component of angular momentum. (c) Find the probability that when making a measure of L, the result is L, =h. %3D (d) Calculate which values can be measured and with what probability of the following quantities:
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The hydrogen atom consisting of an electron and a proton is a twoparticle system and the internal motion of two particles around their center of mass is equivalent to the motion of a single particle w... View the full answer
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