Galilean Duffin Kemmer Petiau algebra and symplectic structure

DOI10.1088/0305-4470/36/13/315zbMath1048.81063OpenAlexW1977693916MaRDI QIDQ4468046

J. David M. Vianna, Ademir E. Santana, Marco C. B. Fernandes

Publication date: 10 June 2004

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/36/13/315

Mathematics Subject Classification ID

Other elementary particle theory in quantum theory (81V25) Nuclear physics (81V35) Strong interaction, including quantum chromodynamics (81V05) Covariant wave equations in quantum theory, relativistic quantum mechanics (81R20) Operator algebra methods applied to problems in quantum theory (81R15)

Related Items (11)

Symplectic quantum mechanics ⋮ Symplectic field theories: scalar and spinor representations ⋮ Non-commutative geometry and symplectic field theory ⋮ Zeeman effect in phase space ⋮ Bound-states of the (1+1)-dimensional DKP equation with a pseudoscalar linear plus Coulomb-like potential ⋮ On the eigensolutions of the one-dimensional Duffin–Kemmer–Petiau oscillator ⋮ SOLUTIONS FOR THE LANDAU PROBLEM USING SYMPLECTIC REPRESENTATIONS OF THE GALILEI GROUP ⋮ Spin-one (1 + 3)-dimensional DKP equation with modified Kratzer potential in the non-commutative space ⋮ Analytical solution for the Gross-Pitaevskii equation in phase space and Wigner function ⋮ Clifford algebraic approach to the de Donder-Weyl Hamiltonian theory ⋮ Galilean-covariant Clifford algebras in the phase-space representation

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