arXiv subjects

Boris I. Ivlev

Publications and source records attributed to Boris I. Ivlev.

10 recordsLinked to original sources

arXiv2026

The quantum state of graphene

A stationary solution of quantum mechanical wave equation is the superposition of eigenfunctions. Each of them corresponds to a vector in the Hilbert space. In a graphene sample one can choose expansion coefficients to get the series convergent solely within the certain circle in the two-dimensional space. Outside this circle the analytic continuation is required in the form of a different series. The exact wave function is referred to as anomalous. It is not a superposition of conventional eigenfunctions and gets ouside the Hilbert space. Anomalous electron and antielectron are possible. The antielectron is not a vacancy in the conventional valence band. The anomalous electron-antielectron pair is created from the anomalous vacuum like the electron-positron pair is created from the electron-positron vacuum. Formation of the anomalous vacuum is not a single electron effect but the collective quantum phenomenon. In the film of graphene the anomalous states are located at the film edge and are expected to be of high conductivity.

physics.gen-ph↗

arXiv2025

Anomalous particles

In the whole set of solutions of the Dirac equation there is a different class referred to as anomalous. Corresponding anomalous particles are independent of conventional ones. The concept of anomalous particles is applicable to Dirac insulators, where electrons obey the Dirac like wave equation. Positively charged antielectrons, which are not holes, can exist in the Dirac insulator. In this material one can create the electron-antielectron pair keeping the valence band completely filled. The anomalous subsystem, associated with the electron-antielectron vacuum, is an inner property of the Dirac insulator. Anamalous particles in the Dirac insulator can be identified in experiments with electric current.

physics.gen-ph↗

arXiv2024

Gamma and neutron radiation from condensed matter

Different electron states in atom are proposed. The states are bound to the electrostatic field of atomic nucleus cut off on its size. The states exist solely during acceleration of the atom exceeding the certain large value. The binding energy of these anomalous states is in the $10\,MeV$ range. In lead atom the transition to the anomalous state is accompanied by $33.2\,MeV$ gamma radiation. This is not nuclear energy. Observed high energy phenomena in lab lightning, electric explosion in liquids, and mechanical stress in solids are paradoxical since they are caused by low energy perturbations. However, these observations are compatible with the electron transitions to the anomalous states since their creation requires just a temporal atom acceleration but not its large kinetic energy.

physics.gen-ph↗

arXiv2019

Gamma radioactivity of anomalous wells

Gamma emission of nuclear energy scale ($\sim 3MeV$), caused by electron transitions in anomalous wells, is predicted to occur in acoustic experiments with solids. The anomalous well for electrons is formed by a local reduction of electromagnetic zero point energy in a vicinity of a nucleus which can be a lattice site of a solid [1]. The well width is $\sim 10^{-11}cm$ and the well depth is $\sim 3MeV$. An energy spectrum in anomalous wells is continuous and non-decaying. Unusual experimental results, on unexpected emission from lead of $\sim 1keV$ x-rays under acoustic pulses, are likely explained by formation of anomalous wells [2]. The experimentally observed $keV$ quanta are naturally supplemented by $MeV$ emission to be revealed. This conclusion is drawn on the basis of an exact solution within a model generic with quantum electrodynamics. An energy of emitted quanta (x-rays and gamma) comes from a reduction of electromagnetic zero point energy (energy from "nothing").

physics.gen-ph↗

arXiv2018

Anomalous electron states

By the certain macroscopic perturbations in condensed matter anomalous electron wells can be formed due to a local reduction of electromagnetic zero point energy. These wells are narrow, of the width $\sim 10^{-11}cm$, and with the depth $\sim 1MeV$. Such anomalous states, from the formal standpoint of quantum mechanics, correspond to a singular solution of a wave equation produced by the non-physical $δ(\vec R)$ source. The resolution, on the level of the Standard Model, of the tiny region around the formal singularity shows that the state is physical. The creation of those states in an atomic system is of the formal probability $\exp(-1000)$. The probability becomes not small under a perturbation which rapidly varies in space, on the scale $10^{-11}cm$. In condensed matter such perturbation may relate to acoustic shock waves. In this process the short scale is the length of the standing de Broglie wave of a reflected lattice atom. Under electron transitions in the anomalous well (anomalous atom) $keV$ X-rays are expected to be emitted. A macroscopic amount of anomalous atoms, of the size $10^{-11}cm$ each, can be formed in a solid resulting in ${\it collapsed}$ ${\it matter}$ with $10^9$ times enhanced density.

physics.gen-ph↗

arXiv2017

X-ray and neutron emissions by shock waves

Experimentally observed X-ray and neutron emissions by acoustic perturbations of liquids and solids look paradoxical. All acoustically driven effects are extremely adiabatic with respect to typical times $\hbar/1keV\sim 10^{-18}s$ for X-ray and $\hbar/1MeV\sim 10^{-21}s$ for neutron processes. A direct application of this mechanism would result in negligible (exponentially small) emission probabilities. As argued in this paper, high energy process of X-ray and neutron emissions are caused by electron transitions in deep ($\sim 1MeV$) and narrow ($\sim 10^{-11}cm$) anomalous well created by the local reduction of electromagnetic zero point energy. The formation of anomalous states cannot be described solely by quantum electrodynamics since the mechanism of electron mass generation is involved.

physics.gen-ph↗

arXiv2017

Subatomic mechanism of the oscillatory magnetoresistance in superconductors

In the recent experiments the unusual oscillatory magnetoresistance in superconductors was discovered with a periodicity essentially independent on magnetic field direction and even material parameters. The nearly universal period points to a subatomic mechanism of the phenomenon. This mechanism is related to formation inside samples of subatomically thin ($10^{-11}cm$) threads in the form of rings of the interatomic radius. Electron states of rings go over into conduction electrons which carry the same spin imbalance in energy as rings. The imbalance occurs due to spin interaction with the orbital momentum of the ring. The conductivity near $T_c$ is determined by fluctuating Cooper pairs consisting of electrons with shifted energies. Due to different angular momenta of rings these energies periodically depend on magnetic field resulting in the observed oscillatory magnetoresistance. Calculated universal positions of peaks $(n+1/2)ΔH$ ($ΔH\simeq 0.18T$ and $n=0,1,2...$) on the $R(H)$ curve are in a good agreement with experiments.

physics.gen-ph↗

arXiv2016

Anomalous electron states

In experiments on irradiation of metal surfaces by ions of keV energy, the emission of X-ray laser beams from the metal was observed not only during the irradiation but also 20 hours after it was switched off (from the "dead" sample). In contrast to an usual laser, the emitted collimated X-ray beams were of continuous frequency. In this paper the mechanism of that phenomenon is proposed. Subatomic electron states are formed inside the metal. These states are associated with anomalous well within the subatomically narrow ($10^{-11}cm$) region. Anomalous well is formed by the local reduction (of $MeV$ scale) in that region of the vacuum energy of the mass-generating field. States in anomalous well are long-living which results in population inversion and the subsequent laser generation observed. The energy of emitted X-ray beams are due to the conversion of the vacuum energy of the mass-generating field (X-ray laser beams from vacuum).

physics.gen-ph↗

arXiv2015

On formation of long-living states

The motion of a particle in the potential well is studied when the particle is attached to the infinite elastic string. This is generic with the problem of dissipative quantum mechanics investigated by Caldeira and Leggett. Besides the dissipative motion there is another scenario of interaction of the string with the particle attached. Stationary particle-string states exist with string deformations accompanying the particle. This is like polaronic states in solids. Our polaronic states in the well are non-decaying and with continuous energy spectrum. Perhaps these states have a link to quantum electrodynamics. Quantum mechanical wave function, singular on some line, is smeared out by electron "vibrations" due to the interaction with photons. In those anomalous states the smeared singularity position would be analogous to the place where the particle is attached to the string.

quant-ph↗

arXiv2015

Anomalous oscillatory magnetoresistance in superconducting transitions

We have discovered an oscillatory magnetoresistance phenomenon in a wide range of superconducting systems, with a periodicity that is essentially independent of temperature, transport current, magnetic field, and even material parameters. The nearly universal period points to a possible fundamental mechanism deeper than superconductivity itself, and may result from intrinsic pair-breaking mechanisms at sub-atomic length scales.

cond-mat.supr-con↗