Numerical Study of Wavepacket Tunneling Dynamics in the Relativistic Schrödinger/Salpeter Equation and the Absence of Klein Tunneling
This paper investigates the distinct tunneling dynamics of wavepackets governed by the relativistic Schrödinger/Salpeter equation, highlighting the absence of Klein tunneling and the influence of potential barriers on outside-the-light-cone propagation.
On the Relativistic Quantum Mechanics of a Photon Interacting with Two Electrons in 1+1 Dimensions: A Feynman Diagram Approach
This paper proposes a novel approach to model the interaction between a photon and two electrons in 1+1 dimensions using a system of Lorentz-covariant wave equations and Feynman-like diagrams, demonstrating that a relativistic quantum theory with a fixed number of particles is possible in this context.
ミンコフスキー空間における距離の平方根を用いたローレンツ変換とディラック方程式の導出
時空間の計量テンソルの平方根を行列形式で表現することで、ローレンツ変換とディラック方程式を統一的に導出できる。
Deriving the Dirac Equation and Lorentz Transformations from the Square Root of the Minkowski Metric
This paper presents a novel approach to deriving both the Lorentz transformations of special relativity and the Dirac equation for relativistic electrons by extracting the square root of the Minkowski spacetime metric using Dirac/Clifford matrices.
Fermion Behavior in Rotating Frames: Impact of Magnetic Fields and Boundary Conditions on Energy Levels and Electromagnetic Radiation
Rotation significantly affects the behavior and electromagnetic radiation of charged fermions in magnetic fields, especially within confined systems where boundary conditions become crucial.
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