GREPhysics.NET: GR0177 #29

GR0177 #29

Problem

GREPhysics.NET Official Solution

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Quantum Mechanics $\Rightarrow$ }Expectation Value

$\langle O \rangle = \langle \psi | O \psi \rangle = -1/6 + 1/2 +2/3 = 1$ .

(Recall that $\langle \psi | A | \psi \rangle = a \langle \psi | \psi \rangle =a$ .)

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Comments

diane
2010-01-05 20:42:25

1/6+1/2+2/3= (1+3+4)/6=8/6=4/3
so what gives?

Professor
2010-01-12 11:55:53

It is NOT 1/6, it is -1/6.

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lathena
2009-10-08 21:31:41

Hi,
Further clarification on this problem would be nice. Why are the square rooted parts squared?

lathena
2009-10-08 21:57:23

err, ignore this. I thought about it more and it made sense.

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LaTeX syntax supported through dollar sign wrappers $, ex., $\alpha^2_0$ produces $\alpha^2_0$ .
type this...	to get...
$\int_0^\infty$	$\int_0^\infty$
$\partial$	$\partial$
$\Rightarrow$	$\Rightarrow$
$\ddot{x},\dot{x}$	$\ddot{x},\dot{x}$
$\sqrt{z}$	$\sqrt{z}$
$\langle my \rangle$	$\langle my \rangle$
$\left( abacadabra \right)_{me}$	$\left( abacadabra \right)_{me}$
$\vec{E}$	$\vec{E}$
$\frac{a}{b}$	$\frac{a}{b}$

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