Answer to Question #165489 in Quantum Mechanics for Sourav Bhunia

Question

a)using the web function si1(x) for the harmonic oscillator (see table 5.3) calculate that <x^2> ; b) now find <p^2x >square x using the same wave function as in part (a); c)it can be shown that <x> = <px> = 0 and that the variance (square of the standard deviation) of any property is given by the expression (sigma)^2 =<a^2> - < a>^2. find (sigma)x(sigma)px using the solution in parts (a) and (b). d) re-evaluate (sigma)x(sigma)px using the ground state wave function (is)0 for the harmonic oscillator and father compare to the results given in pb 5-20 for (sigma)2x. rationalize whether your answer should depend on the state of the system (e) how to use answer compare to that of equation 4.45?

Answer 1

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