The Average Position,or Expectation Value,of a Particle Whose Wave Function $\Psi$

question 31

Multiple Choice

The average position,or expectation value,of a particle whose wave function $\Psi$ (x) depends only on the value of x,is given by < x > =

• A) \(\int _ { - \infty } ^ { + \infty } \sqrt { x } \psi ( x ) d x\) .
• B) \(\int _ { - \infty } ^ { + \infty } x \psi ( x ) d x\) .
• C) \(\int _ { - \infty } ^ { + \infty } \frac { x } { 2 } \psi ^ { 2 } ( x ) d x\) .
• D) \(\int _ { - \infty } ^ { + \infty } \frac { x ^ { 2 } } { 2 } \psi ( x ) d x\) .
• E) \(\int _ { - \infty } ^ { + \infty } \psi ^ { * } ( x ) x \psi ( x ) d x\) .

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