Wavelength of matter wave at v=0

In summary, the conversation discusses the concept of velocity and its relationship with the uncertainty principle. If the velocity of a large particle is reduced to zero, it cannot spread out into the universe and is not physically realizable. This also poses a complication as the particle is both at rest and has known momentum and position, which goes against the uncertainty principle.
  • #1
Amal George M
1
0
if velocity of a huge particle is made zero what will happen?? will the particle spread out into the universe aka complete delocalization??
 
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  • #2
You cannot make it exactly zero for this reason.
 
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Likes bhobba
  • #3
Does this fall under the uncertainty principle?
 
  • #4
Drakkith said:
Does this fall under the uncertainty principle?

I think its more that states with a definite momentum have a wave-function that that's not normalisable ie doesn't fall off at infinity hence is not physically realizable.

Although zero momentum poses the added complication its at rest ie stationary so it has both known momentum and position which is not possible via the uncertainty principle.

Thanks
Bill
 

Related to Wavelength of matter wave at v=0

What is the wavelength of a matter wave at v=0?

The wavelength of a matter wave at v=0 is known as the de Broglie wavelength, which is given by the equation λ = h/mv, where h is Planck's constant, m is the mass of the particle, and v is its velocity. At v=0, the wavelength becomes infinite, indicating that the particle has no well-defined momentum.

How does the wavelength of a matter wave change at different velocities?

The wavelength of a matter wave is inversely proportional to the velocity of the particle. This means that as the velocity increases, the wavelength decreases, and vice versa. This relationship is known as the de Broglie relation.

What is the significance of the wavelength of a matter wave?

The wavelength of a matter wave is significant because it demonstrates the wave-particle duality of matter. It shows that particles, such as electrons, can exhibit wave-like behavior, and the length of their wavelength is related to their momentum.

Can the wavelength of a matter wave be measured?

Yes, the wavelength of a matter wave can be measured using various experimental techniques, such as electron diffraction or neutron interferometry. These techniques allow scientists to observe the interference patterns created by matter waves and calculate their wavelengths.

How does the wavelength of a matter wave at v=0 compare to that of a photon?

The wavelength of a matter wave at v=0 is much larger than that of a photon. This is because the mass of a particle, such as an electron, is much larger than the mass of a photon. As a result, the de Broglie wavelength of a particle at rest is much longer than the wavelength of a photon, which has no rest mass.

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