Lecture5.pptx

Lecture5.pptx - 1/21/11 1 PHYS 360 Quantum Mechanics Fri...

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Unformatted text preview: 1/21/11 1 PHYS 360 Quantum Mechanics Fri Jan 21, 2011 Lecture 5: NormalizaCon: What is the probability that a parCcle has to be somewhere ? Reminder: HW #1 is due in class on Monday. hapter 1, #3, 4, 5, 14, 16. Discussion quesCon: If we know the exact wave funcCon (x,t) of a parCcle, can we exactly determine its mass, posiCon, speed, etc? Another quesCon: Why do we typically mulCply a wave funcCon by its complex conjugate? f ( x ) = f ( x ) + *( x ) ( x ) dx ( x , t ) 2 dx = { } a b Probability of nding the parCcle between a and b , at Cme t . f ( x ) = f ( x ) + *( x ) ( x ) dx onCnuous j 2 ( j ) 2 = ...... = j 2 j 2 = variance j = j 2 j 2 = the standard deviation NORMALIZATION If a parCcle is in a nitesized box, and you look in every posssible locaCon in the box, what is the probability that you will nd the parCcle?...
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Lecture5.pptx - 1/21/11 1 PHYS 360 Quantum Mechanics Fri...

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