This article is cited in 2 papers

Nonindependent splittings and Gibbs states

K.-H. Fichtner^a, W. Freudenberg^b, V. Liebscher<sup>b

a</sup> Friedrich-Schiller-University
^b Brandenburgische Technische Universität

Abstract: We discuss a nonindependent (beam) splitting for which the related thinning leaves the class of equilibrium states for a one mode electromagnetic field invariant. The thinning affects only the parameters of the state, showing a nonlinear loss of energy. After the splitting, the energy values of both split parts are independent. This independence is a characteristic property of the geometric distribution, the distribution of energy values in the equilibrium state. Also, we observe that the class of states where the full states of the split parts are independent is formed by the so-called phase states.

UDC: 519.2

Received: 16.09.1997

DOI: 10.4213/mzm1435

 English version: Mathematical Notes, 1998, 64:4, 518–523

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