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I have a minute problem here. Some of the QM books have treated [itex]h[/itex] as the Planck's constant while some [itex]\hbar[/itex] as the Planck's constant. So can someone resolve this difficulty for me? Thanks in advance!
dextercioby said:The Bohr model of the atom is responsable for the "reduction" by [itex] 2\pi [/itex] (because the orbits were circular).
Daniel.
dextercioby said:He asked about the origin of [itex] \hbar [/itex].I told him where it first appeared.Not the notation (that is due to Dirac,hence the name),but that [itex]2\pi [/itex].
In the context of quantum mechanics,it appears for the first time in Born & Jordan [1] commutation relations...
Daniel.
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[1]M.Born,P.Jordan,Zeits.f.Physik,34,858 (1925).
dextercioby said:I'm sorry,but i think 'latter' versions use the word "reduced" when speaking of "eitchbar".
Daniel.
In older literature, the name Planck's constant was reserved for [tex]h[/tex], the quantity mentioned in the historical introduction, without division by [tex]2\pi[/tex]. Now h-bar is commonly treated a Planck's constant.
Planck's constant, represented by the symbol h, is a fundamental constant in quantum mechanics that relates the energy of a photon to its frequency. It is important because it helps us understand the behavior of particles on a microscopic scale and is the basis for many important equations in physics.
Planck's constant was first discovered by German physicist Max Planck in 1900. He was trying to explain the behavior of blackbody radiation and found that the energy of the radiation was directly proportional to its frequency, with the constant of proportionality being Planck's constant.
The value of Planck's constant is approximately 6.626 x 10^-34 joule-seconds (J·s). This value is a constant and does not change, regardless of the specific context in which it is used.
While Planck's constant may not have an obvious impact on our daily lives, it is used in many modern technologies, such as LED lights, solar cells, and computer chips. It also plays a crucial role in understanding the behavior of atoms and molecules.
One way to remember the value of Planck's constant is to associate it with the number of letters in the word "Planck." Another way is to remember the digits 6-2-6-6, which correspond to the first four digits after the decimal point in the value of Planck's constant.