Application of the cluster decomposition for an ideal relativistic quantum gas. [Limiting temperature bounds]

Journal Article · Sat Jan 15 00:00:00 EST 1977 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.15.402· OSTI ID:7335772

Chaichian, M; Hayashi, M

As an example of the application of cluster decomposition for an ideal (without interaction) relativistic quantum gas to the case of systems with interaction we choose the statistical bootstrap equation in its microcanonical form and formulate it with correct quantum statistics. This formalism of cluster expansion in the microcanonical language can be applied to other similar cases as well. We derive bounds on the limiting temperature for both boson and fermion systems and discuss a possibility for the modification of the statistical bootstrap equation. (AIP)

• Research Organization: University of Helsinki, Research Institute for Theoretical Physics, Siltavuorenpenger 20, SF-00170 Helsinki 17, Finland
• OSTI ID: 7335772
• Journal Information: Phys. Rev., D; (United States), Vol. 15:2
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BOOTSTRAP MODEL
BOSE-EINSTEIN STATISTICS
FERMI STATISTICS
BOSONS
BOUNDARY CONDITIONS
FERMI GAS
FERMIONS
QUANTUM MECHANICS
RELATIVITY THEORY
RENORMALIZATION
COMPOSITE MODELS
FIELD THEORIES
GENERAL RELATIVITY THEORY
MATHEMATICAL MODELS
MECHANICS
PARTICLE MODELS
645400* - High Energy Physics- Field Theory
657002 - Theoretical & Mathematical Physics- Classical & Quantum Mechanics