A formulation is given whereby the grand partition function of a many-body system satisfying Bose-Einstein or Fermi-Dirac statistics is expressed in terms of certain $U$ functions defined for the same system with Boltzmann statistics. It is then shown that these $U$ functions can be evaluated in successive approximations in terms of a binary kernel $B$ which can be computed from a solution of the two-body problem. The approach to the limit of infinite volume is studied. The example of a hard sphere interaction is discussed in some detail.A formulation is given whereby the grand partition function of a many-body system satisfying Bose-Einstein or Fermi-Dirac statistics is expressed in terms of certain $U$ functions defined for the same system with Boltzmann statistics. It is then shown that these $U$ functions can be evaluated in successive approximations in terms of a binary kernel $B$ which can be computed from a solution of the two-body problem. The approach to the limit of infinite volume is studied. The example of a hard sphere interaction is discussed in some detail.

Physical ReviewMar 1, 1959210 citations

Studies of relations between many-body problems and Green functions : Green function and many-body problems (18) Quantum statistical mechanics (10)

邦夫橋爪

近畿大学工学部研究報告Jan 1, 20110 citations

The Many-Body Problem in Quantum Mechanics

N. H. March, William H. L. Young, S. Sampanthar +1 more

American Journal of PhysicsJan 1, 1969463 citations

A formulation is given whereby the grand partition function of a many-body system satisfying Bose-Einstein or Fermi-Dirac statistics is expressed in terms of certain

U

functions defined for the same system with Boltzmann statistics. It is then shown that these

U

functions can be evaluated in successive approximations in terms of a binary kernel

B

which can be computed from a solution of the two-body problem. The approach to the limit of infinite volume is studied. The example of a hard sphere interaction is discussed in some detail.