Potential role of uncertainty relation for thermodynamic quantities in the Planck’s cavity radiation

The electromagnetic field is well described in terms of one-dimensional quantum harmonic oscillator. The uncertainty product of canonically conjugate variables is quantized just like as for the energy quantization except constant factor. This is a characteristic property of the harmonic oscillator m...

Full description

Saved in:
Bibliographic Details
Published in:The European physical journal. D, Atomic, molecular, and optical physics Atomic, molecular, and optical physics, 2021-08, Vol.75 (8), Article 216
Main Author: Nagata, Shoichi
Format: Article
Language:English
Subjects:
Applications of Nonlinear Dynamics and Chaos Theory
Atomic
Conjugates
Electromagnetic fields
Free energy
Harmonic oscillators
Internal energy
Measurement
Molecular
Optical and Plasma Physics
Physical Chemistry
Physics
Physics and Astronomy
Quantum Information Technology
Quantum Physics
Radiation
Regular Article – Quantum Optics
Spectroscopy/Spectrometry
Spintronics
Uncertainty
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The electromagnetic field is well described in terms of one-dimensional quantum harmonic oscillator. The uncertainty product of canonically conjugate variables is quantized just like as for the energy quantization except constant factor. This is a characteristic property of the harmonic oscillator model. The thermodynamic quantities reflect the energy structure under consideration. In the same way, we can take the magnitude of uncertainty product into the thermodynamic quantities. The purpose of this paper is to study a connection between the uncertainty relation and the macroscopic thermodynamic quantities in the Planck cavity radiation. For this connection, thermal average of uncertainty product will be introduced, which is an extension of uncertainty relation to finite temperature. The spectral densities of internal energy, heat capacity, Helmholtz free energy, and entropy can be expressed by using the thermal average of uncertainty product. The quantization of uncertainty product implies physically complementarity or hidden stability between conjugate variables. It is realized that this complementarity is embedded into the individual macroscopic thermodynamic quantities. Moreover, on the fluctuation analysis, the properties of wave–particle duality are examined in graphical visualizations. Graphic abstract
ISSN:1434-6060
1434-6079
DOI:10.1140/epjd/s10053-021-00232-2