Correlated states of interacting particles and problems of the Coulomb barrier transparency at low energies in nonstationary systems

Высоцкий, В. И.; Adamenko, S. V.

doi:10.1134/s106378421005004x

Cited by 32 publications

(30 citation statements)

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“…Fig.1 shows that the probability density |ψ(x,r)| 2 for the particle localization in the time-periodic well is very narrow for uncorrelated state r=0 (solid black), while it spreads significantly into the sub-barrier region for strongly correlated state r=0.98 at the times of the maximal coordinate dispersion (dash green) [10].…”

Section: Formation Of Ccs In Oscillating Potential Wellmentioning

confidence: 99%

“…From a detailed analysis [11][12][13] it follows that the process of formation of strongly correlated coherent state for the particle localization in the well and in the sub-barrier region is shown schematically for uncorrelated state r=0 (solid black) and for strongly correlated state r=0.98 at the times of the maximal coordinate dispersion (dash green) [10]. with |r| max →1 in response to the action of limited periodic modulation (Eq.9) is possible only at any of two conditions: (i) Ω=ω 0 (resonant formation) or (ii) Ω is close to 2ω 0 (parametric formation): |Ω-2ω 0 |≤g Ω ω 0 .…”

Section: Formation Of Ccs In Oscillating Potential Wellmentioning

confidence: 99%

“…This mechanism is based on the generalized uncertainty relation (UR) by Schrödinger-Robertson [7,8], which takes into account correlations between coordinate and momentum operators. Correlation effects have been applied to the tunneling problem by Dodonov et al [9] and by Vysotskii et al [10][11][12][13] who demonstrated a giant increase of sub-barrier transparency caused by increasing correlation coefficient at special highfrequency periodic action on quantum system.…”

Section: Introductionmentioning

confidence: 99%

“…Coherency and persistence of large atomic oscillations in DBs may have drastic effect on quantum tunneling due to correlation effects discovered by Schrödinger and Robertson in 1930 and applied to the tunneling problem by Dodonov et al (1980) and Vysotskii et al (2010). In the present paper, it is argued that DBs present the most natural and efficient way to produce correlation effects due to time-periodic modulation of the potential well (or the Coulomb barrier) width and hence to act as breather 'nano-colliders' (BNC) triggering low energy nuclear reactions (LENR) in solids.…”

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confidence: 99%

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Quantum tunneling in gap discrete breathers

Dubinko¹

2015

LoM

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In many-body nonlinear systems, a special kind of lattice vibrations, namely, discrete breathers (DBs) can be excited either thermally or by external triggering, in which the amplitude of atomic oscillations greatly exceeds that of harmonic oscillations (phonons). Coherency and persistence of large atomic oscillations in DBs may have drastic effect on quantum tunneling due to correlation effects discovered by Schrödinger and Robertson in 1930 and applied to the tunneling problem by Dodonov et al (1980) and Vysotskii et al (2010). In the present paper, it is argued that DBs present the most natural and efficient way to produce correlation effects due to time-periodic modulation of the potential well (or the Coulomb barrier) width and hence to act as breather 'nano-colliders' (BNC) triggering low energy nuclear reactions (LENR) in solids. In particular, due to the large mass difference between H / D and the metal atoms, there is a gap in phonon spectrum of metal-hydride / deuteride crystals, in which so called 'gap DBs' arise in the H / D sub-lattice resulting in time-periodic modulation of spacing between adjacent H / D and metal atoms. Tunneling probability for deuterium fusion in 'gap DBs' is shown to increase drastically with increasing number of oscillations resulting in the observed LENR rate under heavy water electrolysis.

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Section: Formation Of Ccs In Oscillating Potential Wellmentioning

confidence: 99%

Section: Formation Of Ccs In Oscillating Potential Wellmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

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Quantum tunneling in gap discrete breathers

Dubinko¹

2015

LoM

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“…The nontriviality of these unexplained paradoxes can not be ignored, since the lack of an adequate explanation of them is equivalent to the lack of understanding of these processes, and hence the impossibility of their optimization and safe large-scale use! In [1][2][3][4][5][6][7][8][9][10][11][12][13], a general and rather universal mechanism for LENR optimization based on coherent correlated states (CCS) of interacting particles was considered. This mechanism provides a high probability of LENR and can be applied with the same efficiency to different experiments.…”

Section: Nuclear Physicsmentioning

confidence: 99%

Universal Mechanism of Realization of Nuclear Reactions at Low Energy

Высоцкий¹,

Vysotskyy²

2017

RENSIT

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Abstract. A universal method of short-term and very significant attenuation and suppression of the tunneling effect in the nuclear interaction of low-energy particles by using coherent correlated states (ССS) formed with a weak controlled pulsed or periodic action on these particles or the environment is considered. This mechanism explains all the detected features of successful nuclear physics experiments conducted at low energy: an anomalously high probability of these reactions, a very significant suppression (as compared with similar reactions at high energy) of the accompanying gamma radiation, and the complete absence of radioactive daughter isotopes, formed in these reactions.

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Transmission of Correlated Gaussian Packets Through a Delta-Potential

Dodonov

Додонов

2014

J Russ Laser Res

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We study the evolution of the most general initial Gaussian packet with nonzero correlation coefficient between the coordinate and momentum operators in the presence of a repulsive delta potential barrier, using the known exact propagator of the time-dependent Schrödinger equation. For the initial packet localized far enough from the barrier, we define the transmission coefficient as the probability of discovering the particle in the whole semi-axis on the other side of the barrier. It appears that the asymptotical transmission coefficient (calculated in the large time limit) depends on two dimensionless parameters: the normalized ratio of the potential strength to the initial mean value of momentum and the ratio of the initial momentum dispersion to the initial mean value of momentum. For small values of the second parameter the result is reduced to the well known formula for the transparency of the delta barrier, obtained in the plane wave approximation by solving the stationary Schrödinger equation. For big values of the second parameter, the transmission coefficient can be much bigger than that calculated in the plane wave approximation. For a fixed initial spread of the packet in the coordinate space, the initial correlation coefficient influences the transparency of the barrier only indirectly, through the increase of the initial momentum dispersion.

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Correlated states of interacting particles and problems of the Coulomb barrier transparency at low energies in nonstationary systems

Cited by 32 publications

References 0 publications

Quantum tunneling in gap discrete breathers

Quantum tunneling in gap discrete breathers

Universal Mechanism of Realization of Nuclear Reactions at Low Energy

Transmission of Correlated Gaussian Packets Through a Delta-Potential

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