Compton Wavelength, h and h bar

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SUMMARY

The discussion clarifies the representations of the Compton wavelength, specifically the equations λ = h/(mc) and λ = ħ/(mc). The first equation represents the proper Compton wavelength, while the second equation, which incorporates the reduced Planck's constant (ħ = h/2π), is referred to as the reduced Compton wavelength. The reduced form is more commonly used due to the frequent appearance of factors of 2π in various calculations.

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  • Understanding of quantum mechanics concepts
  • Familiarity with Planck's constant (h) and reduced Planck's constant (ħ)
  • Basic knowledge of particle physics, specifically mass-energy equivalence
  • Mathematical proficiency in algebraic manipulation of equations
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  • Explore the role of factors of 2π in physical equations
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Students and professionals in physics, particularly those focusing on quantum mechanics and particle physics, will benefit from this discussion.

Badger01
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I have found 2 different representations of Compton wavelength:

[tex]\lambda[/tex]=
[tex]\frac{h}{mc}[/tex]
and
[tex]\frac{\bar{h}}{mc}[/tex]
which of these is correct, and if both are right, how do you know when to use one or the other?
(note: the second equation contains a h bar as in " h bar = h/2pi ")
 
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The proper Compton wavelength is the first equation. The second equation is the reduced Compton wavelength, and it's used more frequently because factors of 2pi pop up all over the place.
 

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