What is E in below equation? Does it represent total energy or kinetic energy(De-broglie equat

Lexi Chandler

Lexi Chandler

Answered question

2022-05-15

What is E in below equation? Does it represent total energy or kinetic energy(De-broglie equation for uncharged particle like neutron.)
De-broglie equation for uncharged particle:
λ = h 2 m E
Where, λ = wavelength
h = planks constant
m = mass of uncharged particles

Answer & Explanation

pulpasqsltl

pulpasqsltl

Beginner2022-05-16Added 18 answers

E here is the kinetic energy, not the total energy.
The original formula is λ = h / p, and then p is obtained from the (non-relativistic) formula E = 1 2 m v 2 = p 2 / 2 m
Marco Villanueva

Marco Villanueva

Beginner2022-05-17Added 6 answers

The de Broglie wavelength is the wavelength, λ , associated with a massive particle (i.e., a particle with mass, as opposed to a massless particle) and is related to its momentum, p, through the Planck constant, h
λ = h p
For non-relativistic particle, Total energy of free particle
E = p 2 2 m p = 2 m E
λ = h 2 m E
In relativistic-case, Using two formulas from special relativity, one for the relativistic mass-energy and one for the relativistic momentum
p = γ m 0 v
λ = h γ m 0 v

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