The fomula h/lambda is this for the photon only?

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In summary, the formula \frac{h}{\lambda} is used to calculate the speed of particles with zero rest mass. For relativistic particles, this equation will not be accurate, as the energy is different.
  • #1
UrbanXrisis
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the fomula [tex]\frac{h}{\lambda}[/tex]

is this for the photon only? or can it be applied to relativistic electrons too?
 
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  • #2
it applies to particles with zero rest mass. Hence it won't apply to relativistic electrons.
 
  • #3
so for relativistic electrons, if I wanted it's speed, i'd use .5mv^2?
 
  • #4
1/2 m v^2 only works for non-relatavistic speeds, the energy for a relatavistic particle is different. See here for more details.
 
  • #5
anjor said:
it applies to particles with zero rest mass. Hence it won't apply to relativistic electrons.

Same question was asked by de Brolie. And actually, it turned out that it will.
 
  • #6
gulsen said:
Same question was asked by de Brolie. And actually, it turned out that it will.

Yes, but UrbanXrises' original formula was either a typo or assumed that c=1. With c=1 this formula is, in fact, only good for massless particles. DeBroglie's relationship involves the speed, which is less than c.

-Dan
 
  • #7
No, it comes from:
[tex]E = pc = \frac{hc}{\lambda}[/tex]
where c's cancel, and de Broglie's equation relates momentum and wavelength.
 
  • #8
gulsen said:
No, it comes from:
[tex]E = pc = \frac{hc}{\lambda}[/tex]
where c's cancel, and de Broglie's equation relates momentum and wavelength.

:redface: I was thinking of the energy equation. Sorry! (Ahem!)

Even though I got my c's wrong, the argument still holds...E=pc only hold for massless particles, which was what I was trying to say.

-Dan
 
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  • #9
so [tex]p=\frac{h}{\lambda}[/tex] is for massless particles

but what about [tex]E=fh[/tex]?

is this equation for massless particles too?
 
  • #10
UrbanXrisis said:
so [tex]p=\frac{h}{\lambda}[/tex] is for massless particles

but what about [tex]E=fh[/tex]?

is this equation for massless particles too?

No. This equation is good for anything. Basically this equation simply expresses the quantizability of energy.

-Dan
 
  • #11
UrbanXrisis said:
so [tex]p=\frac{h}{\lambda}[/tex] is for massless particles

but what about [tex]E=fh[/tex]?

is this equation for massless particles too?

No, it applies to all particles! That's the backbone for Schrödinger equation!
 

FAQ: The fomula h/lambda is this for the photon only?

What is the significance of the formula h/lambda for the photon?

The formula h/lambda is a key equation in quantum mechanics that relates the energy of a photon to its wavelength. It helps us understand the behavior of photons, which are the smallest units of light.

Does this formula only apply to photons?

Yes, this formula is specifically for photons, which are particles that make up electromagnetic radiation. The formula takes into account the unique properties of photons, such as their masslessness and ability to travel at the speed of light.

How is the formula h/lambda derived?

The formula h/lambda is derived from the Planck-Einstein relation, which states that the energy of a photon is directly proportional to its frequency. By rearranging this equation, we can derive the formula h/lambda, where h is Planck's constant and lambda is the wavelength of the photon.

Can this formula be used for particles other than photons?

No, this formula is only applicable to photons. For other particles, the energy and wavelength are related through different equations, such as the de Broglie relation for matter waves.

How is this formula relevant in modern science?

The formula h/lambda is a fundamental equation in quantum mechanics and is used in various fields of study, including atomic and molecular physics, solid-state physics, and particle physics. It helps us understand the behavior of light and its interactions with matter at a microscopic level.

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