Lax-Phillips evolution as an evolution of Gell-Mann-Hartle-Griffiths histories and emergence of the Schrödinger equation for a stable history

D. Bar; L. P. Horwitz

doi:10.1016/S0375-9601(02)01231-8

Lax-Phillips evolution as an evolution of Gell-Mann-Hartle-Griffiths histories and emergence of the Schrödinger equation for a stable history

D. Bar
, L. P. Horwitz

Department of Physics - at Bar-Ilan University

Bar-Ilan University
Tel Aviv University

Research output: Contribution to journal › Article › peer-review

Abstract

Using the Gell-Mann-Hartle-Griffiths formalism in the framework of the Flesia-Piron form of the Lax-Phillips theory we show that the Schrödinger 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.

Original language	English
Pages (from-to)	135-139
Number of pages	5
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	303
Issue number	2-3
DOIs	https://doi.org/10.1016/S0375-9601(02)01231-8
State	Published - 14 Oct 2002

Keywords

Functional analysis
Schrödinger equation
Zeno effect

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10.1016/S0375-9601(02)01231-8

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abstract = "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{\"o}dinger 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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AB - Using the Gell-Mann-Hartle-Griffiths formalism in the framework of the Flesia-Piron form of the Lax-Phillips theory we show that the Schrödinger 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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KW - Schrödinger equation

KW - Zeno effect

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Lax-Phillips evolution as an evolution of Gell-Mann-Hartle-Griffiths histories and emergence of the Schrödinger equation for a stable history

Abstract

Keywords

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