Planck’s constant h is equivalent to mecλc, the product of an electron’s rest mass me, speed of light c, and an electron’s Compton wavelength λc. Furthermore, we can see that pλ, the product of the momentum of all quanta and the wavelength associated with that quantum, always takes a constant value. Without fully understanding the essence of this fixed value, it has been called Planck’s constant.
In 1900, when deriving a formula that derived an experimental value of black-body radiation, Planck proposed the quantum hypothesis stating that the energy of a harmonic oscillator with oscillation frequency υ would quantize at the integral multiple of hυ. This was the first time that Planck’s constant appeared in physics theory.
Planck’s constant is thus thought to be a fundamental physical constant defined in the realm of quantum theory, but the nature of this constant is generally not well understood. In this discussion we consider whether Planck’s constant, a fundamental physical constant, can be explained using other basic physical quantities, and we reveal the essence of this constant.
The de Broglie equation is normally used to find the momentum of a particle from that particle’s wavelength, or to find the associated wavelength of a particle from that particle’s momentum.
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