Fourier transformation (was: Homework title)

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SUMMARY

The discussion centers on performing a Fourier transformation to convert momentum space into normal space, specifically using the equation F(k) = e^(-b|k|). Participants are tasked with demonstrating that g(x) = (b/π) × (1/(x² + b²)). The conversation highlights the importance of applying the Fourier transformation correctly and encourages users to troubleshoot their approach if they encounter difficulties.

PREREQUISITES
  • Understanding of Fourier transformation principles
  • Familiarity with momentum space and normal space concepts
  • Knowledge of mathematical functions and their graphical representations
  • Basic skills in applying mathematical equations
NEXT STEPS
  • Research the properties of Fourier transformations in physics
  • Study the application of the Fourier transform in signal processing
  • Learn about the implications of the equation g(x) = (b/π) × (1/(x² + b²))
  • Explore software tools for visualizing Fourier transformations
USEFUL FOR

Students in physics or engineering, mathematicians, and anyone interested in understanding Fourier transformations and their applications in converting momentum space to normal space.

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Summary: Homework Statement: Fourier

Transform momentum space to normAl space

Homework Equations: F(k)=e^-b|k| show that g(x)=(b/pi)×(1/(x^2+b^2)Hello,I need to that given function Fouirier transform and function of graphic. Thank you😃

Homework Statement: Fourier

Transform momentum space to normAl space

Homework Equations: F(k)=e^-b|k| show that g(x)=(b/pi)×(1/(x^2+b^2)Hello,I need to that given function Fouirier transform and function of graphic. Thank you😃
 
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I moved the thread to our homework section and gave it a more descriptive title. Did you plug the function into the Fourier transformation and see what you get? Where did you run into trouble?
 
Ok thank you so much
 

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