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This Demonstration simulates the time evolution of a coherent state of an inverted oscillator potential, with

and

denoting the expectation values of

and

, respectively.

Based on C. Kiefer, J. Marto, and P. V. Moniz, "Indefinite Oscillators and Black-Hole Evaporation," Ann. Phys., 18(10–11), 2009 pp. 722–735.

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Coherent-State Time Evolution under an Inverted Oscillator Potential