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Quantum identities for the action

2017/02/28 by E. Gozzi
Mathematics · Physics and Astronomy · #Action (physics) #Advanced Thermodynamics and Statistical Mechanics #Algebra over a field #Classical mechanics #Functional integration #Integral equation #Mathematical analysis #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Path integral formulation #Physics #Pure mathematics #Quantum #Quantum Mechanics and Applications #Quantum mechanics #Theoretical physics #hep-th #quant-ph

paper · pdf · doi:10.1016/j.physleta.2018.02.034

published as Phys.Lett. A 382 (2018) 1075 · 4 pages, few parts deleted

arxiv created 2018/02/27 · openalex publication_date 2018/03/02 · arxiv updated 2018/04/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

In this paper we derive various identities involving the \it action functional which enters the path-integral formulation of quantum mechanics. They provide some kind of generalisations of the Ehrenfest theorem giving correlations between powers of the action and its functional derivatives.

Citations