On the high energy suppression of transition amplitudes in the driven anharmonic oscillator
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Papantonopoulos, E
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Lahanas, AB
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Diamandis, GA
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Georgalas, BC
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For the motion in a one dimensional double well anharmonic potential we derive upper bounds for the transition amplitudes induced by an external driving source when its frequency is in the domain where the multisource transition becomes significant. The bounds found are less stringent compared to the existing bounds found in the literature regarding the one source domination but in no case the amplitudes seem to become strong with increasing energy. The derivation and hence the validity of similar bounds in realistic four dimensional field theory models remains to be seen.
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