On a modified quantum statistical mechanics based on the Hartley information
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Abstract
The theoretical method described by Campos [D. Campos, A thermodynamic-like approach
for the study of probabilistic systems, Physica A 390 (2011) 214. http://dx.doi.org/10.1016/
j.physa.2010.09.023 ] is used for the study of quantum systems giving rise to a modified
quantum statistical mechanics. The core of this approach includes a nonlinear relationship
between Hartley information (pseudo-energy) and energy eigenvalues, and the use of
thermodynamic-like functions parameterized by the continuous entropic parameter q (q ∈
[0,∞)).
The method is applied to a system with an infinite number of independent oscillators
(e.g., blackbody radiation), and it is found that the pseudo-energy remains finite in contrast
to the zero-point energy that becomes infinite. Since the quantum energy catastrophe
problem (infinite energy) can be circumvented by focusing the physical analysis on the
average Hartley information, the renormalization of the energy is avoided and the pseudoenergy emerges as a fundamental concept more basic than energy. As a second example,
the method is applied to an analytical solvable system that has a discrete and continuous
energy spectrum.
Palabras clave
Quantum statistical mechanics; Hartley information; Pseudo-energy; Blackbody radiation; Thermodynamic descriptionLink to resource
https://doi.org/10.1016/j.physa.2012.06.059Collections
- Año 2012 [126]
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