De Broglie Wavelength: Should Electron Have Same Rest Energy?

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SUMMARY

The discussion centers on the derivation of the De Broglie wavelength for electrons, emphasizing the distinction between rest energy and kinetic energy. It clarifies that while the rest energy is represented by mc², the appropriate approach involves using the electron's kinetic energy and mass to determine its speed. Richard Fitzpatrick's quantum mechanics book provides a formula for the electron's wavelength: λe = 1.2 × 10⁻⁹ [E(eV)]⁻¹/²m. The conversation also highlights the difference between Compton wavelength and De Broglie wavelength.

PREREQUISITES
  • Understanding of De Broglie wavelength
  • Familiarity with kinetic energy and mass in classical mechanics
  • Knowledge of quantum mechanics principles
  • Basic grasp of Compton wavelength
NEXT STEPS
  • Study the derivation of De Broglie wavelength in detail
  • Learn about the relationship between kinetic energy and momentum for electrons
  • Explore Richard Fitzpatrick's quantum mechanics book for deeper insights
  • Investigate the differences between Compton wavelength and De Broglie wavelength
USEFUL FOR

Students and professionals in physics, particularly those focusing on quantum mechanics and wave-particle duality, will benefit from this discussion.

moatasim23
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While deriving De-Broglie wavelength we equate mc^2 to hf and then for electron we change c to v but as far I know mc^2 is rest energy then how could c be converted into v for electron.Shouldnt it have the same rest energy?
 
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Hello moatasim23, The De-Broglie wavelength is not determined that way. You should use the electron kinetic energy and the electron mass in order to obtain the speed in the classical way and the momentum.

In Richard Fitzpatrick quantum mechanics book it's told that a usual value for the electron's wave length is: λe = 1.2 × 10−9 [E(eV)]−1/2m.
 
While deriving De-Broglie wavelength we equate mc^2 to hf
This gives you the electron's Compton wavelength, λ = ħ/mc.
 
What is the difference between Comptoms and De Broglie Wavelength?
 

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