Reduced Planck's constant and Planck's constant?

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In summary, the reduced Planck constant is simply the original Planck constant divided by 2π, and it is often used in equations for convenience. However, defining the Planck length in terms of the Planck constant instead of the reduced constant is also a valid choice. It is just a matter of convention and does not affect the meaning or validity of the equations.
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Numeriprimi
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Hello,
is there anyone who can explain me difference between the reduced Planck's constant and Planck's constant? SIMPLY. I know equation between this but... I don't understand it.

If I express the Planck's length by √(hG/c), it is bad? There have to be reducet Planck's constant, bud why?

Thanks very much,
sorry for my bad English
 
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  • #2
The reduced Planck Constant is just the original divided by ##2\pi##. There is no meaning. Since the equations often turned up with this factor dividing the constant, ##\hbar## is often used to simplify notation.
 
  • #3
To add to what DrewD said (which is correct) also note that it would not be bad to define the Planck length in terms of the Planck constant instead of the reduced Planck constant. We chose to use the reduced constant instead of the plain Planck constant for the convenience of simpler equations, but it is still just a convention. Other choices are not bad.
 

FAQ: Reduced Planck's constant and Planck's constant?

What is the difference between Reduced Planck's constant and Planck's constant?

Planck's constant, denoted as h, is a fundamental physical constant that relates the energy of a photon or a particle to its frequency or wavelength. Reduced Planck's constant, denoted as ħ (h-bar), is simply h divided by 2π. It is used in quantum mechanics to simplify calculations and equations.

Why is Reduced Planck's constant important in quantum mechanics?

Reduced Planck's constant is important in quantum mechanics because it determines the smallest possible unit of angular momentum that can be observed in a system. This unit of angular momentum is known as the quantum of angular momentum or the spin angular momentum.

How is Reduced Planck's constant calculated?

Reduced Planck's constant, ħ, is calculated by dividing Planck's constant, h, by 2π. This value is equal to approximately 1.0545718 × 10^-34 joule-seconds.

How does Reduced Planck's constant relate to the uncertainty principle?

The uncertainty principle, also known as Heisenberg's uncertainty principle, states that it is impossible to know both the exact position and momentum of a particle at the same time. Reduced Planck's constant plays a crucial role in this principle as it determines the minimum uncertainty in the measurement of these quantities.

Can the value of Reduced Planck's constant change?

No, the value of Reduced Planck's constant, like all fundamental physical constants, is considered to be constant and unchanging in the universe. It has been measured and confirmed through various experiments and is a fundamental basis for our understanding of quantum mechanics and the behavior of subatomic particles.

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