LINKED-PAIR EXPANSIONS IN QUANTUM STATISTICS

Journal Article · Mon May 15 04:00:00 EDT 1961 · Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D

DOI:https://doi.org/10.1103/PhysRev.122.1043· OSTI ID:4011180

Mohling, F

In the quantam statistical method of Lee and Yang, the cluster functions of quantum statistics are expressed in terms of the cluster functions of Boltzmann statistics, which in turn are computed in terms of certain two-body functions. A study of the Boltzmann cluster functions shows that a symmetric representation can be used for the two-body functions and that large classes of diagrams can be summed. This leads to the introduction of linked-pair graphs to describe the functions of quantum statistics. The two-body functions are expressed in terms of two-body wave functions, and are therefore well-defined for hard-core repulsions. The method is shown for weak potentials. (auth)

• Research Organization: Columbia Univ., New York
• NSA Number: NSA-15-018963
• OSTI ID: 4011180
• Journal Information: Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D, Journal Name: Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D Vol. Vol: 122; ISSN PHRVA
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

BOLTZMANN STATISTICS
MANY BODY PROBLEM
PAIR PRODUCTION
PHYSICS
QUANTUM MECHANICS
STATISTICS