The expectations value of a function f(x)of x when the wave function depends only on x is given by = A) $\int _ { - \infty } ^ { + \infty } \sqrt { f ( x ) } \psi ( x ) d x$ . B) $\int _ { - \infty } ^ { + \infty } f ( x ) \psi ( x ) d x$ . C) $\int _ { - \infty } ^ { + \infty } f ( x ) \psi ^ { * } ( x ) d x$ . D) $\int _ { - \infty } ^ { + \infty } \psi ^ { * } ( x ) f ( x ) \psi ( x ) d x$ . E) $\int _ { - \infty } ^ { + \infty } \psi ^ { * } ( x ) \frac { f ^ { 2 } ( x ) } { 2 } \psi ( x ) d x$ .

Question

The expectations value of a function f(x)of x when the wave function depends only on x is given by < f(x)> =
A) $\int _ { - \infty } ^ { + \infty } \sqrt { f ( x ) } \psi ( x ) d x$ .
B) $\int _ { - \infty } ^ { + \infty } f ( x ) \psi ( x ) d x$ .
C) $\int _ { - \infty } ^ { + \infty } f ( x ) \psi ^ { * } ( x ) d x$ .
D) $\int _ { - \infty } ^ { + \infty } \psi ^ { * } ( x ) f ( x ) \psi ( x ) d x$ .
E) $\int _ { - \infty } ^ { + \infty } \psi ^ { * } ( x ) \frac { f ^ { 2 } ( x ) } { 2 } \psi ( x ) d x$ .

Quizplus · Accepted Answer

The expectation value of a function $ f(x) $ in quantum mechanics is given by the integral of the product of the wave function, its complex conjugate, and the function $ f(x) $.

The Expectations Value of a Function F(x)of X When the Wave