scholarly journals The minimal interaction induced by the translation subgroup has a gap and possible relates to the strong fundamental interaction.

2021 ◽  
Author(s):  
Alexander Braginsky
Keyword(s):  
Continuous Medium ◽  
Equations Of State ◽  
Fundamental Interaction ◽  
Phonon Interaction ◽  
Symmetric State ◽  
Electron Phonon Interaction ◽  
Interaction Field ◽  
Distortion Tensor ◽  
First Time ◽  
Translation Subgroup

Abstract The paper investigates the low-symmetric state of the compensating field of the distortion tensor and proves that there is a gap in this state. It is shown that the distortion tensor is the compensating field of the minimal interaction induced by the translation subgroup. On the example of electron pairing in a Cooper pair it was proved that the distortion tensor is responsible for the electron-phonon interaction. In this paper, for the first time, an exact wave solution for sound pressure in a continuous medium is obtained from the equations of state for the distortion tensor. It is shown that the sound is described as "massive" wave of the distortion tensor, the spectrum of which has the minimal frequency, which corresponds to a gap. The presence of a gap in the low-symmetric state gives grounds to believe that the distortion tensor, as a compensating interaction field, describes a strong fundamental interaction. As it is known, the description of the gap in the strong fundamental interaction is declared a Millennium problem by the Clay Mathematical Institute (CMI).

Explosion as a phase transition due to the change of the gradient symmetry of the distortion tensor.

2021 ◽  
Author(s):  
Alexander Braginsky
Keyword(s):  
Phase Transition ◽  
Elastic Medium ◽  
Continuous Medium ◽  
Equations Of State ◽  
Fundamental Interaction ◽  
Temperature Plasma ◽  
Linear Defects ◽  
Critical Stresses ◽  
Distortion Tensor ◽  
Conjugate Stress

Abstract It is shown that the destruction of a continuous elastic medium is a phase transition associated with a change in the gradient symmetry of the equations of state for the distortion tensor. The equations of state for the distortion tensor, as a compensating field of the minimal fundamental interaction, are derived from the action minimum. In a continuous elastic medium, the distortion tensor is proportional to the conjugate stress tensor. The continuous medium is destroyed at critical stresses or pressures. At the same time, the vortex tension of the distortion tensor penetrates into it and the elasticity disappears. As a result of this phase transition, linear defects and cracks are formed in solids state, and high-temperature plasma occurs in the gas and an explosion occurs. It is shown that the explosion and lightning are the same phase transition, which is caused by the occurrence of a critical vortex tension of the distortion tensor.

MÖSSBAUER SECOND-ORDER DOPPLER SHIFT AND THE RECOILLESS FRACTION OF 119Sn IN SUPERCONDUCTORS

1996 ◽  
Vol 10 (30) ◽  
pp. 1491-1499 ◽  
Author(s):  
LYDIA S. LINGAM ◽  
KESHAV N. SHRIVASTAVA
Keyword(s):  
Doppler Shift ◽  
Second Order ◽  
Fourth Power ◽  
Phonon Interaction ◽  
Previous Theory ◽  
Recoilless Fraction ◽  
Electron Phonon Interaction ◽  
The Matrix ◽  
First Time ◽  
Second Order Doppler Shift

The second-order Doppler shift (SODS) of the Mössbauer spectra in a superconductor, δ SC , is calculated for the first time. The shift depends on the fourth power of the ratio of the gap energy of the superconductor to that of the matrix element of the electron–phonon interaction. At T=T c where the gap vanishes, the shift reduces to that in the normal state. The relative values of the SODS and the isomer shifts are found in several superconductors. The isomer shift for 119 Sn in EuBa 2 Cu 2.98 Sn 0.02 O 7−δ has been found. The recoilless fraction of the 119 Sn in EuBa 2 Cu 2.98 Sn 0.02 O 7−δ is compared with a previous theory. It is found that the ordinary BCS type gap agrees with the experimental measurements of the recoilless fraction only when the gap is modified to include a lattice distortion in the superconducting state.

The simulation of the electron-phonon interaction in silicon

2018 ◽  
Vol 30 (12) ◽  
pp. 3-16
Author(s):  
A. Berezin ◽  
◽  
Yu. Volkov ◽  
M. Markov ◽  
I. Tarakanov ◽  
...  
Keyword(s):  
Phonon Interaction ◽  
Electron Phonon Interaction

Linear electron-phonon interaction in dye-doped polymers

1989 ◽  
Vol 162 (3) ◽  
pp. 217-220 ◽  
Author(s):  
S. Saikan ◽  
A. Imaoka ◽  
Y. Kanematsu ◽  
T. Kishida
Keyword(s):  
Linear Electron ◽  
Phonon Interaction ◽  
Electron Phonon Interaction ◽  
Doped Polymers

scholarly journals Electron-phonon interaction in In-induced √7 ×√3 structures on Si(111) from first-principles

2021 ◽  
Author(s):  
I. Yu. Sklyadneva ◽  
Rolf Heid ◽  
Pedro Miguel Echenique ◽  
Evgueni Chulkov
Keyword(s):  
Density Functional Theory ◽  
Double Layer ◽  
First Principles ◽  
Linear Response ◽  
Density Functional ◽  
Single Layer ◽  
Phonon Interaction ◽  
Functional Theory ◽  
Electron Phonon Interaction ◽  
The Density Functional Theory

Electron-phonon interaction in the Si(111)-supported rectangular √(7 ) ×√3 phases of In is investigated within the density-functional theory and linear-response. For both single-layer and double-layer √(7 ) ×√3 structures, it...

Pseudo-Anomalous Size-Dependent Electron–Phonon Interaction in Graded Energy Band: Solving the Fano Paradox

2021 ◽  
pp. 2044-2051
Author(s):  
Manushree Tanwar ◽  
Devesh K. Pathak ◽  
Anjali Chaudhary ◽  
Alexander S. Krylov ◽  
Herbert Pfnür ◽  
...  
Keyword(s):  
Energy Band ◽  
Phonon Interaction ◽  
Electron Phonon Interaction ◽  
Size Dependent
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