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Relativistic quantum theory without quantized fields. I: Particles in the Minkowski space

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Publication:1225155
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DOI10.1007/BF01608368zbMath0325.22019MaRDI QIDQ1225155

Michael B. Mensky

Publication date: 1976

Published in: Communications in Mathematical Physics (Search for Journal in Brave)



Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Feynman diagrams (81T18) Applications of Lie groups to the sciences; explicit representations (22E70) Applications of functional analysis in quantum physics (46N50) Operator algebra methods applied to problems in quantum theory (81R15)


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Induced representation of the \((1 + 1)\)-quantum extended Galilei algebra on the Bargmann space-time. Induced representation on Bargmann space-time ⋮ Lie algebras admitting elliptic semialgebras ⋮ A left-invariant Lorentz order on the basic affine group ⋮ Induced representations of nonlocally compact groups ⋮ On the notions of \(M\)- and \(D\)-induced representations ⋮ A group theory derivation of the relativistic path integral and the ``history-string dynamics ⋮ Generalized coherent states for massive spinless fields in the de Sitter space



Cites Work

  • New Dynamical Group for the Relativistic Quantum Mechanics of Elementary Particles
  • The Theory of Positrons
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