Matches in SemOpenAlex for { <https://semopenalex.org/work/W2046611461> ?p ?o ?g. }
- W2046611461 abstract "By introducing a quantum entropy functional of the reduced density matrix, the principle of quantum maximum entropy is asserted as fundamental principle of quantum statistical mechanics. Accordingly, we develop a comprehensive theoretical formalism to construct rigorously a closed quantum hydrodynamic transport within a Wigner function approach. The theoretical formalism is formulated in both thermodynamic equilibrium and nonequilibrium conditions, and the quantum contributions are obtained by only assuming that the Lagrange multipliers can be expanded in powers of ${ensuremath{hbar}}^{2}.$ In particular, by using an arbitrary number of moments, we prove that (1) on a macroscopic scale all nonlocal effects, compatible with the uncertainty principle, are imputable to high-order spatial derivatives, both of the numerical density $n$ and of the effective temperature $T$; (2) the results available from the literature in the framework of both a quantum Boltzmann gas and a degenerate quantum Fermi gas are recovered as a particular case; (3) the statistics for the quantum Fermi and Bose gases at different levels of degeneracy are explicitly incorporated; (4) a set of relevant applications admitting exact analytical equations are explicitly given and discussed; (5) the quantum maximum entropy principle keeps full validity in the classical limit, when $ensuremath{hbar}ensuremath{rightarrow}0$." @default.
- W2046611461 created "2016-06-24" @default.
- W2046611461 creator A5028985209 @default.
- W2046611461 creator A5088216454 @default.
- W2046611461 date "2011-12-27" @default.
- W2046611461 modified "2023-09-27" @default.
- W2046611461 title "Quantum maximum-entropy principle for closed quantum hydrodynamic transport within a Wigner function formalism" @default.
- W2046611461 cites W1553236419 @default.
- W2046611461 cites W1577886998 @default.
- W2046611461 cites W1618343015 @default.
- W2046611461 cites W1967006247 @default.
- W2046611461 cites W1969735938 @default.
- W2046611461 cites W1971502883 @default.
- W2046611461 cites W1978915115 @default.
- W2046611461 cites W1979278284 @default.
- W2046611461 cites W1980728151 @default.
- W2046611461 cites W1982057017 @default.
- W2046611461 cites W1982921316 @default.
- W2046611461 cites W1988109405 @default.
- W2046611461 cites W1988723708 @default.
- W2046611461 cites W1990917590 @default.
- W2046611461 cites W1991625642 @default.
- W2046611461 cites W1996964194 @default.
- W2046611461 cites W2000650436 @default.
- W2046611461 cites W2005911190 @default.
- W2046611461 cites W2007790339 @default.
- W2046611461 cites W2009627598 @default.
- W2046611461 cites W2012768516 @default.
- W2046611461 cites W2014151226 @default.
- W2046611461 cites W2016654646 @default.
- W2046611461 cites W2022403408 @default.
- W2046611461 cites W2023287758 @default.
- W2046611461 cites W2023464924 @default.
- W2046611461 cites W2023958398 @default.
- W2046611461 cites W2024538905 @default.
- W2046611461 cites W2026915657 @default.
- W2046611461 cites W2029978196 @default.
- W2046611461 cites W2030976617 @default.
- W2046611461 cites W2031397585 @default.
- W2046611461 cites W2032558547 @default.
- W2046611461 cites W2033184966 @default.
- W2046611461 cites W203330715 @default.
- W2046611461 cites W2033789706 @default.
- W2046611461 cites W2035568159 @default.
- W2046611461 cites W2036927067 @default.
- W2046611461 cites W2038854975 @default.
- W2046611461 cites W2039840519 @default.
- W2046611461 cites W2041386613 @default.
- W2046611461 cites W2041725668 @default.
- W2046611461 cites W2045369589 @default.
- W2046611461 cites W2048714978 @default.
- W2046611461 cites W2049117762 @default.
- W2046611461 cites W2049621296 @default.
- W2046611461 cites W2055281720 @default.
- W2046611461 cites W2056282143 @default.
- W2046611461 cites W2056312128 @default.
- W2046611461 cites W2058103341 @default.
- W2046611461 cites W2058122317 @default.
- W2046611461 cites W2058368651 @default.
- W2046611461 cites W2069428028 @default.
- W2046611461 cites W2069496511 @default.
- W2046611461 cites W2069893807 @default.
- W2046611461 cites W2072703640 @default.
- W2046611461 cites W2075803714 @default.
- W2046611461 cites W2076904037 @default.
- W2046611461 cites W2079257994 @default.
- W2046611461 cites W2081309283 @default.
- W2046611461 cites W2083064299 @default.
- W2046611461 cites W2086076163 @default.
- W2046611461 cites W2086778233 @default.
- W2046611461 cites W2091166549 @default.
- W2046611461 cites W2091202588 @default.
- W2046611461 cites W2091559302 @default.
- W2046611461 cites W2094259238 @default.
- W2046611461 cites W2107985995 @default.
- W2046611461 cites W2111557048 @default.
- W2046611461 cites W2117754928 @default.
- W2046611461 cites W2134993982 @default.
- W2046611461 cites W2137500391 @default.
- W2046611461 cites W2167634079 @default.
- W2046611461 cites W2170116274 @default.
- W2046611461 cites W2170649178 @default.
- W2046611461 cites W2505941620 @default.
- W2046611461 cites W2962806804 @default.
- W2046611461 cites W3165898261 @default.
- W2046611461 cites W36561906 @default.
- W2046611461 cites W4231362780 @default.
- W2046611461 cites W4235424443 @default.
- W2046611461 cites W4237259139 @default.
- W2046611461 cites W4241774173 @default.
- W2046611461 cites W4252028749 @default.
- W2046611461 cites W4300851794 @default.
- W2046611461 cites W4376849742 @default.
- W2046611461 doi "https://doi.org/10.1103/physreve.84.061147" @default.
- W2046611461 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/22304080" @default.
- W2046611461 hasPublicationYear "2011" @default.
- W2046611461 type Work @default.
- W2046611461 sameAs 2046611461 @default.
- W2046611461 citedByCount "17" @default.
- W2046611461 countsByYear W20466114612012 @default.