De Broglie Wavelength: Should Electron Have Same Rest Energy?

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Discussion Overview

The discussion revolves around the De Broglie wavelength of electrons, specifically addressing the relationship between rest energy and the speed of electrons in this context. Participants explore theoretical aspects and derivations related to the De Broglie wavelength and its distinction from the Compton wavelength.

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification, Debate/contested

Main Points Raised

  • One participant questions the validity of equating rest energy (mc²) to the energy associated with the De Broglie wavelength, suggesting that it should maintain the same rest energy regardless of speed.
  • Another participant argues that the De Broglie wavelength should be derived using the electron's kinetic energy and mass, implying that the speed used in calculations should be classical rather than relativistic.
  • A third participant mentions that equating mc² to hf leads to the Compton wavelength, indicating a potential confusion between the two concepts.
  • A question is raised regarding the difference between Compton and De Broglie wavelengths, suggesting a need for clarification on these two distinct but related concepts.

Areas of Agreement / Disagreement

Participants express differing views on the derivation of the De Broglie wavelength and its relationship to rest energy, indicating that multiple competing views remain without a consensus on the correct approach.

Contextual Notes

There are unresolved assumptions regarding the definitions of energy and speed in the context of relativistic versus classical mechanics, as well as the specific conditions under which the De Broglie and Compton wavelengths are applicable.

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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