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Restrictions on Negative Energy Density in Flat Spacetime
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In a previous paper, a bound on the negative energy density seen by an arbitrary inertial observer was derived for the free massless, quantized scalar field in four-dimensional Minkowski spacetime. This constraint has the form of an uncertainty principle-type limitation on the magnitude and duration of the negative energy density. That result was obtained after a somewhat complicated analysis. The goal of the current paper is to present a much simpler method for obtaining such constraints. Similar ``quantum inequality'' bounds on negative energy density are derived for the electromagnetic field, and for the massive scalar field in both two and four-dimensional Minkowski spacetime.
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Adiabatic vacua from linear complex structures
Adiabatic number operators and vacua for coupled bosonic systems are constructed order by order from a linear recursion for complex structures, generalizing WKB and Lewis-Riesenfeld invariant methods beyond a single mode.
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