作为有效坍缩理论的因果费米子系统

IF 2 3区 物理与天体物理 Q2 PHYSICS, MATHEMATICAL Journal of Physics A: Mathematical and Theoretical Pub Date : 2024-09-10 DOI:10.1088/1751-8121/ad7655
Felix Finster, Johannes Kleiner and Claudio F Paganini
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引用次数: 0

摘要

研究表明,在非相对论极限下,因果费米子系统会产生有效的坍缩理论。薛定谔方程的非线性和随机修正项是根据因果作用原理推导出来的。统计算子的动力学由科萨科夫斯基-林德布拉德(Kossakowski-Lindblad)形式的确定性方程描述。此外,量子态会发生符合玻恩规则的动态坍缩。该有效模型与连续自发局域化模型有相似之处,但不同之处在于概率积分的守恒定律以及微观长度尺度上时间的非局域性。
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Causal fermion systems as an effective collapse theory
It is shown that, in the non-relativistic limit, causal fermion systems give rise to an effective collapse theory. The nonlinear and stochastic correction terms to the Schrödinger equation are derived from the causal action principle. The dynamics of the statistical operator is described by a deterministic equation of Kossakowski–Lindblad form. Moreover, the quantum state undergoes a dynamical collapse compatible with the Born rule. The effective model has similarities with the continuous spontaneous localization model, but differs from it by a conservation law for the probability integral as well as a non-locality in time on a microscopic length scale .
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来源期刊
CiteScore
4.10
自引率
14.30%
发文量
542
审稿时长
1.9 months
期刊介绍: Publishing 50 issues a year, Journal of Physics A: Mathematical and Theoretical is a major journal of theoretical physics reporting research on the mathematical structures that describe fundamental processes of the physical world and on the analytical, computational and numerical methods for exploring these structures.
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