量子电动力学Landau-Peierls公式的多时间版本

IF 3 3区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Annals of Physics Pub Date : 2025-04-29 DOI:10.1016/j.aop.2025.170043

Matthias Lienert, Roderich Tumulka

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引用次数: 0

摘要

朗道和佩尔斯在粒子位置表示中写下了简化版量子电动力学的哈密顿量。我们提出了他们的Schrödinger方程的多时间版本，它比原始方程有几个优点：时间演化方程更简单，更自然；它们在量规选择方面更加透明；也许最重要的是，它们明显是洛伦兹协变的。讨论了多时间方程的性质。同时，我们还讨论了类空间表面的洛伦兹协变三维狄拉克分布以及任意规范下类空间表面上光子波函数的内积。

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Multi-time version of the Landau–Peierls formulation of quantum electrodynamics

Landau and Peierls wrote down the Hamiltonian of a simplified version of quantum electrodynamics in the particle-position representation. We present a multi-time version of their Schrödinger equation, which bears several advantages over their original equation: the time evolution equations are simpler and more natural; they are more transparent with respect to choice of gauge; and, perhaps most importantly, they are manifestly Lorentz covariant. We discuss properties of the multi-time equations. Along the way, we also discuss the Lorentz covariant 3d Dirac delta distribution for spacelike surfaces and the inner product of photon wave functions on spacelike surfaces in an arbitrary gauge.

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来源期刊

Annals of Physics 物理-物理：综合

CiteScore

5.30

自引率

3.30%

发文量

211

审稿时长

47 days

期刊介绍： Annals of Physics presents original work in all areas of basic theoretic physics research. Ideas are developed and fully explored, and thorough treatment is given to first principles and ultimate applications. Annals of Physics emphasizes clarity and intelligibility in the articles it publishes, thus making them as accessible as possible. Readers familiar with recent developments in the field are provided with sufficient detail and background to follow the arguments and understand their significance. The Editors of the journal cover all fields of theoretical physics. Articles published in the journal are typically longer than 20 pages.