Abstract

According to traditional classical quantum theory, due to the prior existence of the Planck constant, considered a universal constant, it is thought that the energy of a photon can be determined if its frequency is known, and the wavelength of a quantum can be determined if its momentum is known (E = hv and λ = h/p). In this paper, however, the Planck constant only comes into existence when mecλC is replaced with h. There is no problem with introducing h to simplify equations, but quantum mechanics is not affected even if there is no symbol h. The physicists at the beginning of the 20th century overestimated the Planck constant, and this gave rise to universal constants that do not exist in the natural world in itself.

Highlights

  • IntroductionIn 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 ν would quantize at the integral multiple of hν

  • According to traditional classical quantum theory, due to the prior existence of the Planck constant, considered a universal constant, it is thought that the energy of a photon can be determined if its frequency is known, and the wavelength of a quantum can be determined if its momentum is known ( E = hν and λ = h p )

  • The physicists at the beginning of the 20th century overestimated the Planck constant, and this gave rise to universal constants that do not exist in the natural world in itself

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Summary

Introduction

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 ν would quantize at the integral multiple of hν This was the first time that the Planck constant h appeared in physics theory [1]. In deriving the equation for the energy levels of the hydrogen atom, Bohr assumed the following quantum condition including the Planck constant: pn ⋅ 2= π rn 2π n = , n 1, 2,. The author has shown that Equation (10) is correct within the scope of classical theory, but it becomes an approximation when the theory of relativity is taken into account [8] In this way, it has been shown that even the Rydberg constant R∞ in Equation (10) cannot, strictly speaking, be regarded as a fundamental physical constant. The section examines whether Planck constant can truly be called a universal constant

Planck Constant Derived from Fundamental Physical Constant
Discussion
Conclusions

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