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Zhur. Eksptl'. i Teoret. Fiz.

CONTRIBUTION TO THE THEORY OF UNSTABLE STATES

Ya. B. Zel’dovich

Published Sep 1, 1960• 0 citations
OpenAlex

Abstract

A pertarbation theory was developed, and an expression of the amplitude for given initial state is presented for a state that decays exponentially. A finite expression was obtained that plays the role of the norm of such a state. (auth)

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>An unstable particle capable of undergoing real decay - N + theta is considered in the nonrelativistic second quantization theory (Lee model). Perturbation theory and the expansion of an arbitrary state in eigen states are extended to the case of an unstable particle. The quantity which plays the role of the state norm of such a particle is determined. A new method is proposed for determining the fraction of time a stable particle V capable of undergoing the virtual transformation into N + theta stays in the state V and in the state N + theta . If the method is applied to an unstable particle V, one can find the time it is in each of the two states, but the answer is expressed in complex numbers. (auth)