General dynamical equations for free particles and their Galilean invariance

DOI10.1007/s10773-008-9893-9zbMath1169.81332OpenAlexW2037893484MaRDI QIDQ2390835

John L. Fry, Zdzislaw E. Musielak

Publication date: 10 August 2009

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10773-008-9893-9

zbMATH Keywords

Schrödinger-like equationstheories of free particlesGalilei and extended Galilei groups

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Covariant wave equations in quantum theory, relativistic quantum mechanics (81R20)

Related Items (4)

Complete Systems of Galileo Invariants of a Motion of Parametric Figure in the Three Dimensional Euclidean Space ⋮ Fundamental theories of waves and particles formulated without classical mass ⋮ A new fundamental asymmetric wave equation and its application to acoustic wave propagation ⋮ Relativistic wave and particle mechanics formulated without classical mass

Cites Work

• Nonrelativistic particles and wave equations
• On unitary ray representations of continuous groups
• Classical Covariant Fields
• Galilei Group and Nonrelativistic Quantum Mechanics
• Group Theoretical Discussion of Relativistic Wave Equations
• Representations of the Galilei group
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