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Correlation functionals of infinite volume quantum spin systems (1969)

Greenberg, William

Springer

Communications in mathematical physics 11 (1969), S. 314-320

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ISSN: 1432-0916

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics , Physics

Notes: Abstract The existence and analyticity of the correlation functionals of a quantum lattice in the infinite volume limit is proved. The result is valid at sufficiently high temperatures and for a large class of interactions. Our method estimates the kernelK φ for a set of Kirkwood-Salzburg equations. While a naive estimate would indicate that ∥K φ ∥=∞, we take into account cancellations between different contributions toK φ in order to show that for sufficiently high temperatures ∥K φ ∥ 〈1, and this estimate is independent of the volume of the system.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01645852

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