scholarly journals Alternative derivation of the relativistic three-particle quantization condition

2020 ◽  
Vol 102 (5) ◽  
Author(s):  
Tyler D. Blanton ◽  
Stephen R. Sharpe
Keyword(s):  
Quantization Condition ◽  
Alternative Derivation

Further Properties of a Set of Symmetric Maxwellian Equations

1989 ◽  
Vol 44 (2) ◽  
pp. 106-108
Author(s):  
Pierre Guéret
Keyword(s):  
Quantization Condition ◽  
Quantum Mechanical ◽  
Coupling Term ◽  
Alternative Derivation ◽  
Mechanical Coupling ◽  
Dirac Quantization

Abstract A recently proposed set of symmetric maxwellian equations with a quantum-mechanical coupling term between matter and fields is investigated further. Monopole and dipole solutions are described, from which the momentum of a moving charge is calculated. An alternative derivation of the Dirac quantization condition for monopoles is given.

The alternative derivation procedure of equations of the law of the junction for the study of the p-n junction theory

2020 ◽  
pp. 002072092097813
Author(s):  
Algirdas Baskys
Keyword(s):  
Student Engagement ◽  
Student Interest ◽  
Student Survey ◽  
New Approach ◽  
Alternative Derivation ◽  
Student Activity ◽  
Comprehensive Knowledge ◽  
Modern Knowledge ◽  
The Law ◽  
Derivation Procedure

The methodology that increases the student interest and provides modern knowledge to the study of the p-n junction theory has been proposed. It is based on two methods: increasing the interest of students using a new approach in derivation of equations of the law of the junction that allows obtaining more comprehensive knowledge about the operation of the p-n junctions and engaging students using the storytelling technique. The reaction of students to the lecture, obtained statistics on the student activity and the results of the student survey show that the proposed methodology allows increasing the student engagement in the p-n junction theory lectures.

scholarly journals Generalized vanishing theorems for Yukawa couplings in heterotic compactifications

2021 ◽  
Vol 2021 (5) ◽  
Author(s):  
Lara B. Anderson ◽  
James Gray ◽  
Magdalena Larfors ◽  
Matthew Magill ◽  
Robin Schneider
Keyword(s):  
Vector Bundles ◽  
Geometric Approach ◽  
Low Energy ◽  
Geometric Features ◽  
Vanishing Theorems ◽  
Vanishing Theorem ◽  
Alternative Derivation ◽  
Yukawa Couplings ◽  
Geometric Methods ◽  
Higher Dimensional

Abstract Heterotic compactifications on Calabi-Yau threefolds frequently exhibit textures of vanishing Yukawa couplings in their low energy description. The vanishing of these couplings is often not enforced by any obvious symmetry and appears to be topological in nature. Recent results used differential geometric methods to explain the origin of some of this structure [1, 2]. A vanishing theorem was given which showed that the effect could be attributed, in part, to the embedding of the Calabi-Yau manifolds of interest inside higher dimensional ambient spaces, if the gauge bundles involved descended from vector bundles on those larger manifolds. In this paper, we utilize an algebro-geometric approach to provide an alternative derivation of some of these results, and are thus able to generalize them to a much wider arena than has been considered before. For example, we consider cases where the vector bundles of interest do not descend from bundles on the ambient space. In such a manner we are able to highlight the ubiquity with which textures of vanishing Yukawa couplings can be expected to arise in heterotic compactifications, with multiple different constraints arising from a plethora of different geometric features associated to the gauge bundle.

Ginzburg–Landau theory of the Abrikosov vortex state near the upper critical field

1982 ◽  
Vol 60 (3) ◽  
pp. 299-303 ◽  
Author(s):  
A. E. Jacobs
Keyword(s):  
Critical Field ◽  
Landau Theory ◽  
Upper Critical Field ◽  
Vortex State ◽  
Quantization Condition ◽  
Abrikosov Vortex ◽  
Ginzburg Landau ◽  
Type Ii Superconductors ◽  
Flux Quantization ◽  
The Magnetic Field

A method which preserves the flux-quantization condition in all orders of perturbation theory is applied to the Ginzburg–Landau theory of type-II superconductors near the upper critical field. Expansions are obtained for the order parameter, the magnetic field, and the free energy; previous results are verified and extended to one higher order in Hc2 – Ha.

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