Compton Wavelength, h and h bar

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In summary, Compton Wavelength is a quantum mechanical property that describes a particle's ability to act as a wave. The significance of h, also known as Planck's constant, is its role in calculating the wavelength of a particle. h bar, the reduced Planck's constant, is used to simplify equations in quantum mechanics. Compton Wavelength is related to the Uncertainty Principle, as it describes the uncertainty in a particle's momentum due to its wave-like behavior. It can be observed and measured in experiments involving high-energy particles and is used in various fields of physics.
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Badger01
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I have found 2 different representations of Compton wavelength:

[tex]\lambda[/tex]=
[tex]\frac{h}{mc}[/tex]
and
[tex]\frac{\bar{h}}{mc}[/tex]
which of these is correct, and if both are right, how do you know when to use one or the other?
(note: the second equation contains a h bar as in " h bar = h/2pi ")
 
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The proper Compton wavelength is the first equation. The second equation is the reduced Compton wavelength, and it's used more frequently because factors of 2pi pop up all over the place.
 

1. What is Compton Wavelength?

Compton Wavelength is the quantum mechanical property of a particle that describes its ability to act as a wave. It is the distance at which a particle's wavelength is equal to its mass-energy's Compton wavelength.

2. What is the significance of h in Compton Wavelength?

h, also known as Planck's constant, is a fundamental constant in quantum mechanics that relates the energy of a particle to its frequency. In the context of Compton Wavelength, h is used to calculate the wavelength of a particle.

3. What is the difference between h and h bar?

h bar, also known as the reduced Planck's constant, is equal to h divided by 2π. It is commonly used in quantum mechanics to simplify equations and calculations. The main difference between h and h bar is the value, with h bar being smaller than h.

4. How is Compton Wavelength related to the Uncertainty Principle?

The Uncertainty Principle states that it is impossible to know both the position and momentum of a particle with absolute certainty. Compton Wavelength plays a role in this principle, as it describes the uncertainty in a particle's momentum due to its wave-like behavior.

5. Can Compton Wavelength be observed or measured?

Yes, Compton Wavelength can be observed and measured in experiments involving high-energy particles, such as in particle accelerators. It is also used in various fields of physics, including quantum mechanics, astrophysics, and nuclear physics.

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