Lax-Phillips evolution as an evolution of Gell-Mann-Hartle-Griffiths histories and emergence of the Schr\"oedinger equation for a stable history
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🪐 quant-ph
keywords
equationevolutiongell-mann-hartle-griffithshistorieslax-phillipsoedingerschrclosely
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Using the Gell-Mann-Hartle-Griffiths formalism in the framework of the Flesia-Piron form of the Lax-Phillips theory we show that the Schr\"oedinger equation may be derived as a condition of stability of histories. This mechanism is realized in a mathematical structure closely related to the Zeno effect.
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