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Question: assume that a hydrogen atom at t 0 is in...

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Assume that a hydrogen atom at t 0 is in a state described by the following wave function: where the subecripts are values of the quantum numbers n.. m. I gnore spin and relativistic , , m. Ignore spin and relativistic effects. Some hints: and V3 where ao = 0.53 Å is the Bohr radius and γ , where n is the principal quantum number; L+ +L 2 4YĪm V (1 + m + 1 )(1-m)y,n+1, - Im-1 a) What is the expectation value for the energy of this system? Express your answer in ev b) What is the probability of finding this system in the state with ad m+1 as a c) What is the probability of finding the electron within one Bohr radius of the proton at d) Suppose that a measurement results in 1 ะ: 1 and 4 +1, where 4 s the egenvalue function of time? 1 = 0? A good approximate result is sufficient. of the L, operator. Describe the wavefunction immediately after the measurefnent in terms of the ain given above.
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