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The quantum-mechanical theory of the decay of unstable states is revisited. We show that the decay is non-exponential both in the short-time and long-time limits using a more physical definition of the decay rate than the one usually used.…

Nuclear Theory · Physics 2017-03-16 Murray Peshkin , Alexander Volya , Vladimir Zelevinsky

In this paper we study, in the time domain, the interaction between localized surface plasmons and photons in arbitrarily shaped metal nanoparticles, by using the Hopfield approach to quantize the plasmon modes, where the electron…

We calculate the dissipation rate of a coherently oscillating scalar field in a thermal environment using nonequilibrium quantum field theory and apply it to the reheating stage after cosmic inflation. It is shown that the rate is…

High Energy Physics - Phenomenology · Physics 2009-11-11 Jun'ichi Yokoyama

According to the standard model of cosmology, the early universe has been dominated by radiation or non-relativistic matter in several eras of its history. However, many cosmological calculations involving particle processes are commonly…

General Relativity and Quantum Cosmology · Physics 2018-03-12 Juho Lankinen , Iiro Vilja

The radiation caused by particles of one bunch in the collective electromagnetic field of the short oncoming bunch is studied. Quantum effects are calculated for the spectrum of radiated photons. Using this spectrum, the dependence of the…

High Energy Physics - Phenomenology · Physics 2007-05-23 R. Engel , A. Schiller , V. G. Serbo

Under certain conditions, the oscillating inflaton condensate filling the Universe after inflation can fragment and form so-called oscillons. These long-lived soliton-like field configurations can dominate the Universe for several $e$-folds…

Cosmology and Nongalactic Astrophysics · Physics 2026-01-19 Kaloian D. Lozanov , Misao Sasaki , Jan Tränkle

The relativistic quantum decay laws of moving unstable particles are analyzed for a general class of mass distribution densities which behave as power laws near the (non-vanishing) lower bound $\mu_0$ of the mass spectrum. The survival…

Quantum Physics · Physics 2018-03-22 Filippo Giraldi

We analyze the survival probability of unstable particles in the context of quantum field theory. After introducing the spectral function of resonances, we show that deviations from the exponential decay law occur at short times after the…

High Energy Physics - Phenomenology · Physics 2011-08-16 Giuseppe Pagliara , Francesco Giacosa

We show that a short-time regime, in which a deviation from the exponential decay law occurs, exists also in the framework of a superrenormalizable relativistic quantum field theory. This, in turn, implies the possibility of a quantum Zeno…

High Energy Physics - Phenomenology · Physics 2011-10-13 Francesco Giacosa , Giuseppe Pagliara

The classical and quantum models of the Friedmann universe originally filled with a scalar field and radiation have been studied. The radiation has been used to specify a reference frame that makes it possible to remove ambiguities in…

General Relativity and Quantum Cosmology · Physics 2007-05-23 V. V. Kuzmichev

Oscillons are spatially stationary, quasi-periodic solutions of nonlinear field theories seen in settings ranging from granular systems, low temperature condensates and early universe cosmology. We describe a new class of oscillon in which…

High Energy Physics - Theory · Physics 2017-01-23 Chang Liu , Richard Easther

The dispersion relation and damping rate of longitudinal color plasmons in finite strange quark matter (strangelets) are evaluated in the limits of weak coupling, low temperature, and long wavelength. The property of the QCD vacuum…

Nuclear Theory · Physics 2009-10-31 Kei Iida

The focusing of the radiation generated by a polarization current with a superluminally rotating distribution pattern is of a higher order in the plane of rotation than in other directions. Consequently, our previously published asymptotic…

Astrophysics · Physics 2009-11-13 Houshang Ardavan , Arzhang Ardavan , John Singleton , Joseph Fasel , Andrea Schmidt

A fundamental principle of quantum theory, clearly manifested in the two-slit experiment, is that for any alternatives that cannot be distinguished by measurement physical predictions are obtained by summation of their amplitudes. In…

Quantum Physics · Physics 2009-07-17 C. Anastopoulos , N. Savvidou

We analyze the problem of one dimensional quantum particle falling in a constant gravitational field, also known as the {\it bouncing ball}, employing a semiclassical approach known as momentous effective quantum mechanics. In this…

Quantum Physics · Physics 2019-04-16 Guillermo Chacon-Acosta , Hector Hernandez-Hernandez , Mercedes Velazquez

An analytical solution for the time evolution of decay of two identical non interacting quantum particles seated initially within a potential of finite range is derived using the formalism of resonant states. It is shown that the wave…

Quantum Physics · Physics 2015-05-28 Gastón García-Calderón , Luis Guillermo Mendoza-Luna

Unless protected by the exact integrability, solitons are subject to dissipative forces, originating from a thermally fluctuating background. At low enough temperatures $T$ background fluctuations should be considered as being quantized…

Quantum Gases · Physics 2010-05-25 D. M. Gangardt , A. Kamenev

Post-exponential decay of the probability density of a quantum particle leaving a trap can be reproduced accurately, except for interference oscillations at the transition to the post-exponential regime, by means of an ensemble of classical…

Quantum Physics · Physics 2015-05-18 E. Torrontegui , J. G. Muga , J. Martorell , D. W. L. Sprung

The sine-Gordon model in 3+1 dimensions is known to admit two oscillons of different energy and frequency but comparable lifetime. We show that the oscillon spectrum includes more spherically symmetric ``states''. We identify new…

High Energy Physics - Theory · Physics 2023-08-09 Fabio van Dissel , Oriol Pujolas , Evangelos Sfakianakis

The factorization properties of the radiative decays B->V gamma are analyzed at leading order in 1/m_b using the soft-collinear effective theory. It is shown that the decay amplitudes can be expressed in terms of a B->V form factor…

High Energy Physics - Phenomenology · Physics 2008-11-26 Thomas Becher , Richard J. Hill , Matthias Neubert
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