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Different expressions for group velocity

  • Thread starter bon
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  • #1
bon
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Homework Statement



Ok so we have different expressions for group velocity, g...

The most obvious being g = dw/dk

But then the text Im using says sinve w=vk we can write

g = v+k dv/dk

alongside other expressions, including k etc..

My question is - what is v in the equation above? I thought there were only two characteristic velocities of a wave packet which is the superposition of many different waves - the group and phase velocities.. What is the physical meaning of v here..

Thanks
 

Answers and Replies

  • #2
gabbagabbahey
Homework Helper
Gold Member
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Compare the equation [itex]\omega=vk[/itex] to the definition of phase velocity and you will see:wink:
 

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