Problem 3.2 – Griffith’s Intro to QM

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in Griffith’s QM Solutions

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)

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Griffith’s Introduction to Quantum Mechanics 3rd Edition Solutions

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