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Erratum: Many-body diffusion and path integrals for identical particles [Phys. Rev. E 53 , 4467 (1996)]

1997; American Physical Society; Volume: 55; Issue: 6 Linguagem: Inglês

10.1103/physreve.55.7813

1538-4519

L. F. Lemmens, F. Brosens, J. T. Devreese, Marcin Fia A lkowski,

Advanced Thermodynamics and Statistical Mechanics

In Sec.IV D we stated that the double sum in Eq. ͑4.16͒x ¯Ј,0;lЈ͒ reduces to a single sum if f (x ¯Љ) is invariant with respect to the permutations of the particle positions, where x ¯Љ is a 3n-dimensional position vector of n particles in a three-dimensional space.This should be corrected as follows: the double sum in Eq. ͑4.16͒ reduces to a single sum if f (x ¯Љ) is invariant with respect to the permutations of the components of the particle positions.This restricts the class of scalar potentials for which the method presented in our paper can be applied without modifications, i.e., without taking into account the transitions between I (x ¯,t;x ¯Љ,0;l) and I (x ¯Љ,t;x ¯Ј,0;lЈ) for l lЈ.Furthermore, the identity matrix I should be replaced by ϪI in the second row of the first column of the matrix in Eq. ͑4.8͒.