A Lorentzian distribution

  • Thread starter Niles
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  • #1
Niles
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Homework Statement


Hi

If I have a Lorentzian distribution given by

[tex]
f(x) = \frac{\Gamma}{x^2+\Gamma^2},
[/tex]

then is Γ the FWHM?
 

Answers and Replies

  • #2
vela
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Homework Statement


Hi

If I have a Lorentzian distribution given by

[tex]
f(x) = \frac{\Gamma}{x^2+\Gamma^2},
[/tex]

then is Γ the FWHM?
Not quite. Just set f(x) to half its maximum value and solve for x. You'll get two solutions. Their difference is the full width at half maximum.
 
  • #3
Rajini
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Hi,
In your case [tex]\Gamma[/tex] is half width at half maximum. And height of Lorentzian is [tex]1/\Gamma[/tex] Correct?
 
  • #4
Niles
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Yes, I agree - because I get 2Γ to be FWHM. And I also agree on the height.
 

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