Tru Physics

Problem 3.2 – Griffith’s Intro to QM

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Problem 3.2

(a) For what range of \nu is the function f(x)=x^{\nu} in Hilbert space, on the interval (0,1)? Assume \nu is real, but not necessarily positive.
(b) For the specific case \nu = \dfrac{1}{2}, is f(x) in this Hilbert space? What about xf(x)? How about (d/dx)f(x)?

Solution:

Problem 3.2 Solution (Download)

Problem 3.2 Solution.

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