Quantum Decay at Long Times

Torrontegui, E.; Muga, J. G.; Martorell, J.; Sprung, D. W. L.

doi:10.1016/s0065-3276(10)60009-3

Cited by 26 publications

(27 citation statements)

References 122 publications

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“…It appears that the general form of the decay law P 0 (t) of the particle in its rest reference frame practically does not depend on the form of the all physically acceptable ω(m) (see, eg. [13,9,10,11,14,15,16]): There is, a 0 (t) = a exp (t)+a lt (t), starting from times slightly longer than the extremely short times [14,15,16]. Here a exp (t) = N exp [−i t (E 0 − i 2 Γ 0 )], (E 0 = m 0 c 2 is the energy of the system in the unstable state |φ measured at the canonical decay times when P 0 (t) has the exponential form, N is the normalization constant).…”

Section: Decay Law Of Moving Relativistic Particlesmentioning

confidence: 99%

Non-classical Behavior of Moving Relativistic Unstable Particles

Urbanowski¹

2017

Acta Phys. Pol. B

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We study the survival probability of moving relativistic unstable particles with definite momentum p = 0. The amplitude of the survival probability of these particles is calculated using its integral representation. We found decay curves of such particles for the quantum mechanical models considered. These model studies show that late time deviations of the survival probability of these particles from the exponential form of the decay law, that is the transition times region between exponential and non-exponential form of the survival probability, should occur much earlier than it follows from the classical standard approach resolving itself into replacing time t by t/γ (where γ is the relativistic Lorentz factor) in the formula for the survival probability and that the survival probabilities should tend to zero as t → ∞ much slower than one would expect using classical time dilation relation. Here we show also that for some physically admissible models of unstable states the computed decay curves of the moving particles have fluctuating form at relatively short times including times of order of the lifetime.

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Section: Decay Law Of Moving Relativistic Particlesmentioning

confidence: 99%

Non-classical Behavior of Moving Relativistic Unstable Particles

Urbanowski¹

2017

Acta Phys. Pol. B

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“…From decomposition (18) it follows that in the general case within the model considered the survival probability (6) contains the following parts:…”

Section: Decay Of a Dark Energy As A Quantum Decay Processmentioning

confidence: 99%

From Quantum Unstable Systems to the Decaying Dark Energy: Cosmological Implications

Stachowski

Szydłowski

Urbanowski

2018

Advances in High Energy Physics

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We consider a cosmology with decaying metastable dark energy and assume that a decay process of this metastable dark energy is a quantum decay process. Such an assumption implies among others that the evolution of the Universe is irreversible and violates the time reversal symmetry. We show that if we replace the cosmological time appearing in the equation describing the evolution of the Universe by the Hubble cosmological scale time, then we obtain time dependent Λ( ) in the form of the series of even powers of the Hubble parameter : Λ( ) = Λ( ). Our special attention is focused on radioactive-like exponential form of the decay process of the dark energy and on the consequences of this type decay.

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“…All these properties are the essence of the so-called Fock-Krylov theory of unstable states [2,3,5]. So within this approach the amplitude A(t), and thus the decay law P(t) of the unstable state |φ , are completely determined by the density of the energy distribution ω(E) for the system in this state [2,3] (see also [4,5,[33][34][35][36][37]. (This approach is also applicable in Quantum Field Theory models [38,39]).…”

Section: Preliminaries: Quantum Unstable Statesmentioning

confidence: 99%

“…Here, we assume 8πG = c = 1. Equations (35) and (36) give the conservation equation in the following forṁ ρ tot = −3H(ρ tot + p tot (ρ tot )) (37) or in the equivalent forṁ…”

Section: Cosmological Equationsmentioning

confidence: 99%

Quantum mechanical look at the radioactive-like decay of metastable dark energy

Szydłowski¹,

Stachowski²,

Urbanowski³

2017

Eur. Phys. J. C

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We derive the Shafieloo, Hazra, Sahni and Starobinsky (SHSS) phenomenological formula for the radioactive-like decay of metastable dark energy directly from the principles of quantum mechanics. To this aim we use the Fock-Krylov theory of quantum unstable states. We obtain deeper insight on the decay process as having three basic phases: the phase of radioactive decay, the next phase of damping oscillations, and finally the phase of power-law decay. We consider the cosmological model with matter and dark energy in the form of decaying metastable dark energy and study its dynamics in the framework of non-conservative cosmology with an interacting term determined by the running cosmological parameter. We study the cosmological implications of metastable dark energy and estimate the characteristic time of ending of the radioactive-like decay epoch to be 2.2 × 10 4 of the present age of the Universe. We also confront the model with astronomical data which show that the model is in good agreement with the observations. Our general conclusion is that we are living in the epoch of the radioactive-like decay of metastable dark energy which is a relict of the quantum age of the Universe.

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Quantum Decay at Long Times

Cited by 26 publications

References 122 publications

Non-classical Behavior of Moving Relativistic Unstable Particles

Non-classical Behavior of Moving Relativistic Unstable Particles

From Quantum Unstable Systems to the Decaying Dark Energy: Cosmological Implications

Quantum mechanical look at the radioactive-like decay of metastable dark energy

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