2009
DOI: 10.1140/epjd/e2009-00165-x
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General properties of the evolution of unstable states at long times

Abstract: An effect generated by the nonexponential behavior of the survival amplitude of an unstable state at the long time region is considered. It is known that this amplitude tends to zero as t goes to the infinity more slowly than any exponential function of t. Using methods of asymptotic analysis we find the asymptotic form of this amplitude in the long time region in a general model independent case. We find that the long time behavior of this amplitude affects the form of the instantaneous energy of unstable sta… Show more

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Cited by 65 publications
(169 citation statements)
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“…and h(t) is the effective Hamiltonian governing the time evolution in the subspace of unstable states H ∥ = PH, where P = |ϕ⟩⟨ϕ| (see [31] and also [32,33] and references therein). H ⊖ H ∥ = H ⊥ ≡ QH is the subspace of decay products.…”
Section: Preliminariesmentioning
confidence: 99%
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“…and h(t) is the effective Hamiltonian governing the time evolution in the subspace of unstable states H ∥ = PH, where P = |ϕ⟩⟨ϕ| (see [31] and also [32,33] and references therein). H ⊖ H ∥ = H ⊥ ≡ QH is the subspace of decay products.…”
Section: Preliminariesmentioning
confidence: 99%
“…H ⊖ H ∥ = H ⊥ ≡ QH is the subspace of decay products. Here Q = I − P. There is the following equivalent formula for h(t) [31][32][33]:…”
Section: Preliminariesmentioning
confidence: 99%
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