A note on multi-time equations in quantum mechanics

2014/03/03 by Ali Sanayei, Sanayei, Ali
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Mathematical and Theoretical Analysis #Noncommutative and Quantum Gravity Theories #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #quant-ph

paper · pdf · doi:10.48550/arxiv.1403.0384

4 pages

arxiv created 2014/03/03 · openalex publication_date 2014/03/03 · arxiv updated 2014/03/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The main aim of this note is to show that the formalism of multi-time equations in quantum mechanics meant to represent a manifestly Lorentz-invariant theory suffers from at least three imperfections: (1) It does not cover those physical systems for which the Schrödinger picture of quantum mechanics does not exist. (2) The integrabiliy condition which has been proposed in the formalism does not imply as necessary that for every partial Hamiltonian there exists a Schrödinger equation. (3) The formalism does not generally allow for interactions even in a non-relativistic multi-particle quantum system.

Citations

• Note on Exchange Phenomena in the Thomas Atom
• On the Derivation of the Dispersion Formula for Nuclear Reactions

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