Mathematics – Logic
Scientific paper
Apr 2006
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006aps..apr.d1059k&link_type=abstract
American Physical Society, APS April Meeting, April 22-26, 2006, abstract #D1.059
Mathematics
Logic
Scientific paper
The critical analysis of Bose's method---starting-point of Dirac's method of secondary quantization---is proposed. It is proved that Bose's method for derivation of Planck's formula stated by S.N. Bose in the article ``Planck's law and light quanta hypothesis'' (1924) contains logical errors (i.e. errors in definition of concepts). The main logical error is as follows [1]: the method does not take into explicit consideration an interaction between radiation and substance, i.e. the subsystem ``photon gas'' (radiation) is defined as the isolated subsystem which does not interact with the subsystem ``molecule gas'' (substance). (Such definition of concept ``photon gas'' represents a logic error because presence of radiating substance is an essential condition of existence of temperature and thermal radiation). Conclusions: firstly, this error leads to the incorrect statement that photon gas (quantum gas) is characterized by temperature; secondly, this error puts obstacles in the way of correct definition of the important concepts ``phase cell'' and ``empty phase cell'' which concern substance; thirdly, this error enters into the starting-point of Dirac's method of secondary quantization and, hence, into the standard theory of physical vacuum (i.e. the theory of ``empty phase cell''). Ref.: T.Z. Kalanov, ``On statistics of photon gas'', Doklady Akademii Nauk SSSR (Russia), Vol. 316, No. 1 (1991), p. 100.
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