A quantum long time energy red shift: a contribution to varying α theories

Urbanowski, K.

doi:10.1140/epjc/s10052-008-0725-0

Cited by 23 publications

(53 citation statements)

References 23 publications

(37 reference statements)

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“…The same applies by (11) to the properties of h φ (t) and concerns the asymptotic form of h φ (t) and thus of E φ (t) and Γ φ (t) at t T .…”

Section: Energy Of Unstable Statesmentioning

confidence: 97%

New Quantum Effect: Emission of CosmicX– orγ–rays by Moving Unstable Particles at Late Times

Urbanowski

2016

EPJ Web Conf.

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Abstract. A quantum effect induced by the late time properties of decaying states is discussed and its possible observational consequences are analyzed. It is shown that charged unstable particles as well as neutral unstable particles with non-zero magnetic moment which were able to survive sufficiently long may emit electromagnetic radiation. The nonclassical behavior of unstable particles at late times when deviations of the decay law from the exponential form begin to dominate is a source of the mechanism responsible for this effect. Analyzing the transition times region between exponential and non-exponential form of the survival amplitude it is found that at this time region the instantaneous energy of the unstable particle can take very large values, much larger than the energy of this state at times from the exponential time region. Results obtained for the model considered suggest that this new purely quantum mechanical effect may be responsible for causing unstable particles produced by astrophysical sources and moving with relativistic velocities to emit electromagnetic-, X-or γ-rays at some time intervals from the transition time regions.

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“…The same applies by (11) to the properties of h φ (t) and concerns the asymptotic form of h φ (t) and thus of E φ (t) and Γ φ (t) at t T .…”

Section: Energy Of Unstable Statesmentioning

confidence: 97%

New Quantum Effect: Emission of CosmicX– orγ–rays by Moving Unstable Particles at Late Times

Urbanowski

2016

EPJ Web Conf.

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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%

“…are the instantaneous mass (energy) µ ϕ (t) and the instantaneous decay rate, γ ϕ (t) [31][32][33]. Here ℜ (z) and ℑ (z) denote the real and imaginary parts of z respectively.…”

Section: Preliminariesmentioning

confidence: 99%

“…The derivative of ζ(t) given by (23) equals [32,33] From the properties of the integral-exponential function E 1 (x) it follows that the equation ∂ζ(t) ∂t = 0 can be satisfied at most for some isolated values of time t. So, from the formula (24) the conclusion follows: Within the model considered there is no time interval in which ζ(t) = const, that is, there is no time interval in which the survival probability P 0 (t) has a pure exponential form. This conclusion explains the results presented in Figs (2) and (3).…”

Section: Epj Web Of Conferencesmentioning

confidence: 99%

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The true quantum face of the “exponential” decay: Unstable systems in rest and in motion

Urbanowski

2017

EPJ Web Conf.

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Abstract.Results of theoretical studies and numerical calculations presented in the literature suggest that the survival probability P 0 (t) has the exponential form starting from times much smaller than the lifetime τ up to times t ≫ τ, and that P 0 (t) exhibits inverse power-law behavior at the late time region for times longer than the so-called crossover time T ≫ τ (The crossover time T is the time when the late time deviations of P 0 (t) from the exponential form begin to dominate). More detailed analysis of the problem shows that in fact the survival probability P 0 (t) can not take the pure exponential form at any time interval including times smaller than the lifetime τ or of the order of τ and it has has an oscillating form. We also study the survival probability of moving relativistic unstable particles with definite momentum ⃗ p 0. These studies show that late time deviations of the survival probability of these particles from the exponential-like form of the decay law, that is the transition times region between exponential-like and non-exponential form of the survival probability, should occur much earlier than it follows from the classical standard considerations.

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Cosmological models with running cosmological term and decaying dark matter

Szydłowski

Stachowski

2017

Physics of the Dark Universe

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A quantum long time energy red shift: a contribution to varying α theories

Cited by 23 publications

References 23 publications

New Quantum Effect: Emission of CosmicX– orγ–rays by Moving Unstable Particles at Late Times

New Quantum Effect: Emission of CosmicX– orγ–rays by Moving Unstable Particles at Late Times

The true quantum face of the “exponential” decay: Unstable systems in rest and in motion

Cosmological models with running cosmological term and decaying dark matter

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