What happens to electron wave as it travles to light speed

In summary, the de Broglie wavelength decreases with the inverse of momentum. This concept is not used any more and its known to be the most reasonable extension to standard probability theory that allows continuous transformations between so called pure states.
  • #1
1832vin
58
1
everyone knows that if an electron travels close to light speed, they gain mass, but how about the wave side of things? since gravity and electromagnetism are 2 completely different things (is gravity and magnetism both waves?)

would the electron wave traveling close to light speed be not affected?
 
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  • #2
1832vin said:
everyone knows that if an electron travels close to light speed, they gain mass
No they do not. They gain energy.

Decades ago there was a concept of relativistic mass which is simply energy divided by the speed of light squared, but this concept is not used any more.

1832vin said:
since gravity and electromagnetism are 2 completely different things
This has nothing to do with gravity or electromagnetism.
1832vin said:
(is gravity and magnetism both waves?)
They are both interactions, it does not make sense to ask if interactions are waves (incompatible categories: "is blue a road?").
1832vin said:
would the electron wave traveling close to light speed be not affected?
Affected by what?
 
  • #4
Khashishi said:
The de Broglie wavelength decreases with the inverse of momentum.
http://en.wikipedia.org/wiki/Matter_wave

It also needs to be pointed out de Broglie's hypothesis was consigned to the dustbin of history when Dirac came up with his transformation theory late 1926 - probably sooner since it birthed Schroedinger's wave mechanics - but that too was overthrown - or rather shown to be part of a more comprehensive theory. The 1926 theory of Dirac is basically QM as we know it today and that is not based on matter waves. These days its known to be the most reasonable extension to standard probability theory that allows continuous transformations between so called pure states - but discussing that is a whole new thread. Suffice to say its got nothing to do with matter waves which are as dead as the Do Do, expect of course for the very important study of the history of QM. In fact that's the reason it still hangs around - most textbooks (not all - but most) take a semi historical approach but don't then emphasise the ideas that birthed QM are, at best viewed totally differently, and actually WRONG.

Thanks
Bill

.
 
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What is an electron wave?

An electron wave is a wave-like behavior exhibited by electrons, which are subatomic particles that orbit the nucleus of an atom.

What happens to an electron wave as it travels?

As an electron wave travels, it maintains its wave-like behavior and can interact with other particles or objects it encounters.

Can an electron wave travel at the speed of light?

No, according to the theory of relativity, particles with mass cannot travel at the speed of light. As electrons have a small mass, they can approach but not reach the speed of light.

How does the behavior of an electron wave change as it approaches the speed of light?

As an electron wave approaches the speed of light, its wavelength decreases and its energy increases. This is known as relativistic effects.

What happens to an electron wave when it reaches the speed of light?

According to the theory of relativity, an electron wave cannot reach the speed of light. If it were to reach this speed, it would have infinite energy and its mass would become infinite as well. This is not possible according to our current understanding of physics.

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