Does the wavelenth of matter waves depend upon the kinetic energy of the particle or object? Do th

Hailee Stout

Hailee Stout

Answered question

2022-05-09

Does the wavelenth of matter waves depend upon the kinetic energy of the particle or object?
Do the properties of the waves (wavelength,frequency) emitted by a particle or object depend upon the velocity, or as to say its kinetic energy? Is the De Broglie equation E = h ν applicable to matter waves as well?

Answer & Explanation

arbotsck8sg

arbotsck8sg

Beginner2022-05-10Added 22 answers

These are two different questions.
"Does the properties of the waves(wavelenth,frequency) emitted by a particle or an object depend upon the velocity"
Yes, according to relativity, the emission lines of atoms depend on their velocity; it is the relativistic Doppler effect Here the wavelength is the wavelength of the electromagnetic wave emitted by an electron falling on a lower-energy orbital, for example.
"is the de-broglie equation E = h(v) applicable to matter waves"
The relation is E = h ν and also applies to the matter waves, that are described by Schroedinger equation. But the corresponding ν has little to do with the wavelength of an emitted radiation.
Dennis Montoya

Dennis Montoya

Beginner2022-05-11Added 2 answers

1- Matter wave is not emitted by the particle, but it is a probability density wave-function. If you calculated the amplitude of this function, squared it, and integrated the result over a certain volume, it will give you the probability to find the particle within this volume
2- Yes, Total Energy (rest energy + kinetic energy)= h f, where λ f = u, and u is the speed of the matter wave u is higher than light speed as it is the speed on a mathematical function, not a physical object, energy or information.
The relation between u and v is:
C 2 = u v, where v, is the particle speed, and C is the speed of light in free space.

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