Nonrelativistic particles and wave equations

1967/12/01 by Jean-Marc Lévy-Leblond · 1 voice · 7 citations
Engineering · Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Geophysics and Sensor Technology #Relativity and Gravitational Theory

paper · doi:10.1007/bf01646020

crossref issued 1967/12/01 · crossref published 1967/12/01 · crossref published-print 1967/12/01 · openalex publication_date 1967/12/01 · crossref created 2005/05/07 · crossref deposited 2019/05/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29 · crossref indexed 2026/07/29

Citations

• Galilean quantum field theories and a ghostless Lee model
• The quantum theory of the electron

Cited by

• Dirac, Schroedinger, and Maxwell equations in scalar and vector field quantum mechanics
• A Matrix Factorization of Extended Hamiltonian Leads to N-Particle Pauli Equation
• Lévy-Leblond equation and Eisenhart–Duval lift in Koopman–von Neumann mechanics
• Gauge interactions and the Galilean limit
• The Dirac oscillator, generalised parastatistics and colour Lie superalgebras
• Galilean Geometry in Condensed Matter Systems
• Developments in non-relativistic field theory and complexity

Discussions

• I'm trying to explicitly find a projective unitary scalar representation of the Galilean group. I'll denote a generic element of the group by $(a, {\bf b},R, {\bf v})$ , corresponding respectively to [stackexchange, 3 points]