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The Radiation of the Double Quantized Cubic Cavities
Author(s) -
Vlad Valentin I.,
IonescuPallas Nicholas
Publication year - 2000
Publication title -
fortschritte der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/(sici)1521-3978(200005)48:5/7<657::aid-prop657>3.0.co;2-0
Subject(s) - physics , quantization (signal processing) , radiation , photon , planck , quantum mechanics , computational physics , condensed matter physics , mathematics , algorithm
In this paper, the density of modes in double quantized cubic cavities is calculated as to take into account the small number of modes. Then the “spatial quantisation” fluctuations, which appear as a correction factor in the mode density, are introduced in the Planck law. The discrete form and the bandwidth of the Planck radiation spectrum are evaluated and the limits of this double‐quantization regime of the cubic cavity are set for the product cavity size by temperature, Pq ∈ (0.1, 1). A reciprocity rule for the cavity size and the temperature is shown. Calculating the total energy in the double quantized cubic cavities (DQCC), we found out a “corrected” Stefan‐Boltzmann law for the double‐quantized regime. Furthermore, the corrections for all thermodynamic functions of the photon gas in DQCC are shown.