Trajectory-based conservation laws for massive spin-zero relativistic quantum particles in 1 + 1 spacetime

Bill Poirier, Hung Ming Tsai

Research output: Contribution to journalConference articlepeer-review

Abstract

We present novel aspects of a trajectory-based theory of massive spin-zero relativistic quantum particles. In this approach, the quantum trajectory ensemble is the fundamental entity. It satisfies its own action principle, leading to a dynamical partial differential equation (via the Euler-Lagrange procedure), as well as to conservation laws (via Noether's theorem). In this paper, we focus on the derivation of the latter. In addition to the usual expected energy and momentum conservation laws, there is also a third law that emerges, associated with the conditions needed to maintain global simultaneity. We also show that the nonrelativistic limits of these conservation laws match those of the earlier, nonrelativistic quantum trajectory theory [J. Chem. Phys. 136, 031102 (2012)].

Original languageEnglish
Article number012022
JournalJournal of Physics: Conference Series
Volume1612
Issue number1
DOIs
StatePublished - Aug 7 2020
Event18th International Symposium on Symmetries in Science - Bregenz, Austria
Duration: Aug 4 2019Aug 9 2019

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