Noncommutative Derivation of the Planck's Radiation Law
- URL: http://arxiv.org/abs/2304.02067v1
- Date: Tue, 4 Apr 2023 18:34:54 GMT
- Title: Noncommutative Derivation of the Planck's Radiation Law
- Authors: M. A. De Andrade, L. G. Ferreira Filho, C. Neves
- Abstract summary: We propose an alternative way to fix the issue of noncommutative ground state energy.
With this approach, the Planck's quantum theory is updated and, consequently, becomes compatible with the quantum mechanics inaugurated in 1925.
- Score: 0.0
- License: http://creativecommons.org/licenses/by-nc-nd/4.0/
- Abstract: The Planck's radiation law for the blackbody radiation spectrum was capable
to explain the experimentally-measured blackbody spectrum. In order to get this
result, Planck proposed his radiation law in a two-fold way: 1) by an
\textit{ad hoc} modification of the assumed connection between energy and
entropy for thermal radiation; 2) by assuming that the calculation of the
entropy of an oscillator in thermal equilibrium with radiation is carried out
by discrete units of energy. As a consequence, the energy quantization, linear
in frequency, was thus introduced into physics. However, the energy
quantization of the simple harmonic oscillator was originally postulated by
Planck in an incomplete way, i.e., the ground state energy was not assumed to
be null. Of course, this issue has been solved in different ways over time.
Despite of this, we propose an alternative way to fix this issue by describing
harmonic oscillators at noncommutative(NC) framework, where the non-null ground
state energy naturally arises as a NC contribution. With this approach, the
Planck's quantum theory is updated and, consequently, becomes compatible with
the quantum mechanics inaugurated in 1925.
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