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  • 1
    Electronic Resource
    Electronic Resource
    On the ζ-function of a one-dimensional classical system of hard-rods (1977)
    Springer
    Communications in mathematical physics 52 (1977), S. 175-189 
    Details
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract The ζ-function of a one-dimensional classical hard-rod system with exponential pair interaction is defined as the generating function for the partition function of the system with periodic boundary conditions. It is shown, here, that the ζ-function for this system is simply related to the traces of the restrictions of the Ruelle's transfer matrix, and related operators to a suitable function space. This ζ-function does not, in general, extend to a meromorphic function.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01625782
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