Matches in SemOpenAlex for { <https://semopenalex.org/work/W1974297109> ?p ?o ?g. }
Showing items 1 to 89 of
89
with 100 items per page.
- W1974297109 endingPage "2539" @default.
- W1974297109 startingPage "2533" @default.
- W1974297109 abstract "The properties of an ideal gas of spinless particles are investigated by using the path integral formalism. It is shown that the quantum paths exhibit a fractal character which remains unchanged in the relativistic domain provided the creation of new particles is avoided, and the Brownian motion remains the stochastic process associated with the quantum paths. These results are obtained by using a special representation of the Klein-Gordon wave equation. On the quantum paths the relation between velocity and momentum is not the usual one. The mean square value of the velocity depends on the time needed to define the velocity and its value shows the interplay between pure quantum effects and thermodynamics. The fractal character is also investigated starting from wave equations by analyzing the evolution of a Gaussian wave packet via the Hausdorff dimension. Both approaches give the same fractal character in the same limit. It is shown that the time that appears in the path integral behaves like an ordinary time, and the key quantity is the time interval needed for the thermostat to give to the particles a thermal action equal to the quantum of action. Thus, the partition function calculated via the path integral formalism also describes the dynamics of the system for short time intervals. For low temperatures, it is shown that a time-energy uncertainty relation is verified at the end of the calculations. The energy involved in this relation has not a thermodynamic meaning but results from the fact that the particles do not follow the equations of motion along the paths. The results suggest that the density matrix obtained by quantification of the classical canonical distribution function via the path integral formalism should not be totally identical to that obtained via the usual route." @default.
- W1974297109 created "2016-06-24" @default.
- W1974297109 creator A5043750674 @default.
- W1974297109 date "1999-09-01" @default.
- W1974297109 modified "2023-10-14" @default.
- W1974297109 title "Fractal behavior in quantum statistical physics" @default.
- W1974297109 cites W1847162973 @default.
- W1974297109 cites W1964301336 @default.
- W1974297109 cites W1987835051 @default.
- W1974297109 cites W2006359452 @default.
- W1974297109 cites W2014427223 @default.
- W1974297109 cites W2015951554 @default.
- W1974297109 cites W2030034026 @default.
- W1974297109 cites W2048854183 @default.
- W1974297109 cites W2055982196 @default.
- W1974297109 cites W2058026846 @default.
- W1974297109 cites W2119001404 @default.
- W1974297109 cites W2223094112 @default.
- W1974297109 cites W4232486802 @default.
- W1974297109 cites W4242720812 @default.
- W1974297109 cites W4300048442 @default.
- W1974297109 cites W2056700415 @default.
- W1974297109 doi "https://doi.org/10.1103/physreve.60.2533" @default.
- W1974297109 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/11970051" @default.
- W1974297109 hasPublicationYear "1999" @default.
- W1974297109 type Work @default.
- W1974297109 sameAs 1974297109 @default.
- W1974297109 citedByCount "9" @default.
- W1974297109 countsByYear W19742971092014 @default.
- W1974297109 countsByYear W19742971092018 @default.
- W1974297109 countsByYear W19742971092019 @default.
- W1974297109 crossrefType "journal-article" @default.
- W1974297109 hasAuthorship W1974297109A5043750674 @default.
- W1974297109 hasConcept C121332964 @default.
- W1974297109 hasConcept C121864883 @default.
- W1974297109 hasConcept C126255220 @default.
- W1974297109 hasConcept C130787639 @default.
- W1974297109 hasConcept C134306372 @default.
- W1974297109 hasConcept C154018700 @default.
- W1974297109 hasConcept C33923547 @default.
- W1974297109 hasConcept C40636538 @default.
- W1974297109 hasConcept C53702628 @default.
- W1974297109 hasConcept C62520636 @default.
- W1974297109 hasConcept C74650414 @default.
- W1974297109 hasConcept C84114770 @default.
- W1974297109 hasConceptScore W1974297109C121332964 @default.
- W1974297109 hasConceptScore W1974297109C121864883 @default.
- W1974297109 hasConceptScore W1974297109C126255220 @default.
- W1974297109 hasConceptScore W1974297109C130787639 @default.
- W1974297109 hasConceptScore W1974297109C134306372 @default.
- W1974297109 hasConceptScore W1974297109C154018700 @default.
- W1974297109 hasConceptScore W1974297109C33923547 @default.
- W1974297109 hasConceptScore W1974297109C40636538 @default.
- W1974297109 hasConceptScore W1974297109C53702628 @default.
- W1974297109 hasConceptScore W1974297109C62520636 @default.
- W1974297109 hasConceptScore W1974297109C74650414 @default.
- W1974297109 hasConceptScore W1974297109C84114770 @default.
- W1974297109 hasIssue "3" @default.
- W1974297109 hasLocation W19742971091 @default.
- W1974297109 hasLocation W19742971092 @default.
- W1974297109 hasOpenAccess W1974297109 @default.
- W1974297109 hasPrimaryLocation W19742971091 @default.
- W1974297109 hasRelatedWork W1484853857 @default.
- W1974297109 hasRelatedWork W1577958965 @default.
- W1974297109 hasRelatedWork W1796739479 @default.
- W1974297109 hasRelatedWork W1981932791 @default.
- W1974297109 hasRelatedWork W1994700299 @default.
- W1974297109 hasRelatedWork W2063915770 @default.
- W1974297109 hasRelatedWork W2068263579 @default.
- W1974297109 hasRelatedWork W2151839088 @default.
- W1974297109 hasRelatedWork W2624137414 @default.
- W1974297109 hasRelatedWork W2745286733 @default.
- W1974297109 hasRelatedWork W2802793848 @default.
- W1974297109 hasRelatedWork W2883801591 @default.
- W1974297109 hasRelatedWork W2905632847 @default.
- W1974297109 hasRelatedWork W2980880813 @default.
- W1974297109 hasRelatedWork W2992866315 @default.
- W1974297109 hasRelatedWork W2999375652 @default.
- W1974297109 hasRelatedWork W3100305490 @default.
- W1974297109 hasRelatedWork W3101294327 @default.
- W1974297109 hasRelatedWork W3201953595 @default.
- W1974297109 hasRelatedWork W605544816 @default.
- W1974297109 hasVolume "60" @default.
- W1974297109 isParatext "false" @default.
- W1974297109 isRetracted "false" @default.
- W1974297109 magId "1974297109" @default.
- W1974297109 workType "article" @default.