 9831 Sergio Albeverio, Yuri Kondratiev, Yuri Kozitsky.
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Suppression of Critical Fluctuations by strong Quantum Effects in
Quantum Lattice Systems
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(59K, LaTeX)
Jan 24, 98

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Abstract. %
Translation invariant models of quantum anharmonic oscillators with a
polynomial anharmonicity and a ferroelectric interaction are
considered.
For these models, it is proved that the critical fluctuations of the
position operator, peculiar to the critical point, are suppressed at
all
temperatures provided the oscillators are strongly quantum. The
latter
is shown to occur in particular if the oscillator's mass is less than
some threshold value depending on the anharmonicity parameters.
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