Note on the Dirac Field in Real Domain
英文摘要:
Sufficient conditions for linear electrodynamics with real Dirac field are derived.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。
Srecko Botric
Sufficient conditions for linear electrodynamics with real Dirac field are derived.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。
继续探索
We determine the generating function of the harmonic oscillator by a new method. Using this generating function we derive the eigenfunctions of the moment p. We find that the normalization of these eigenfunctions is a real and not complex number with phase factor chosen equal one (standard books of quantum mechanics). We prove that the integral of the delta function is equal to one and we derive the oscillator propagator.
A note on degeneracy of excited energy levels in massless Dirac fermions
该研究提出构造局域磁通量下无质量Dirac-Weyl方程本征解的机制,分析能级简并性,发现零级与一级能级简并度为N+1,高能级简并度随能级升高无限增长,修正了石墨烯相关文献的结论。
Some aspects of Dirac spinors are resumed and studied in order to interpret mathematically the P and T operations in a gravitational field.
The Dirac field is analysed in real domain. A connection with the classical field theory is shown and corresponding relation to the quantum physics.
Note on Dirac monopole theory and Berry geometric phase
本工作通过将狄拉克单极子理论拓展到参数空间,利用双模哈密顿量模型可视化参数空间中的狄拉克弦,揭示其与贝里几何相位的内在联系,为相关研究提供统一框架。
The time-dependent Dirac equation is solved using the three-dimensional Finite Difference-Time Domain (FDTD) method. The dynamics of the electron wave packet in a scalar potential is studied in the arrangements associated with the Klein paradox: potential step barriers and linear potentials. No Klein paradox is observed.
In this note we show that there exists a new set of operators {Q} (this set is different from the operators which satisfy the Lie algebra of the Poincare group P(1,3) with respect to which the Dirac and Maxwell equations are invariant. We shall give the detailed proof of our assertions only for the Dirac equation, since for the Maxwell equations all the assertions are proved analogously.
The time-dependent Dirac equation is solved using the three-dimensional Finite Difference-Time Domain (FDTD) method. The dynamics of the electron wave packet in a vector potential is studied in the arrangements associated with the Aharonov-Bohm effect. The solution of the Dirac equation showed a change in the velocity of the electron wave packet even in a region where no forces acted on the electron. The solution of the Dirac equation agreed with the prediction of classical dynamics under the assumption that the dynamics was defined by the conservation of generalized or canonical momentum. It …
The Dirac equation is solved using three-dimensional Finite Difference-Time Domain (FDTD) method. $Zitterbewegung$ and the dynamics of a well-localized electron are used as examples of FDTD application to the case of free electrons.
Space-Time-Matter: Some Notes on the Localization Problem in Relativistic Quantum Theory
本文探讨相对论量子理论中正能量假设的脆弱性及其与局域化问题的关联,通过分析负能量波函数与粒子对产生的关系,并从玻姆量子场论视角反思,深化了对局域化问题的理解。
This note aims to give prominence to some new results on the absence and localization of eigenvalues for the Dirac and Klein-Gordon operators, starting from known resolvent estimates already established in the literature combined with the renowned Birman-Schwinger principle.
This is the current form of lecture notes on my approach to field quantization. I explain on a simple scalar-field model the physical motivation and show some preliminary applications (field produced by a pointlike charge, the vacuum-to-vacuum loop diagram, the Casimir presure). The approach is based on an appropriate construction of a representation of harmonic-oscillator Lie algebra and a sequential definition of Dirac deltas.
Non-relativistic limit of Dirac Hamiltonians with Aharonov-Bohm fields
该研究通过无穷光速极限将Dirac哈密顿量族映射为具有Aharonov-Bohm场的Schrödinger算子族,保持散射长度并得到物理相关的s波子族。
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