Clifford algebraic approach to the de Donder-Weyl Hamiltonian theory

DOI10.1007/s00006-022-01202-6zbMath1485.15030arXiv2112.08483OpenAlexW4213361391WikidataQ114232363 ScholiaQ114232363MaRDI QIDQ2113259

Marco C. B. Fernandes

Publication date: 11 March 2022

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.08483

zbMATH Keywords

Clifford algebraDuffin-Kemmer-Petiau algebrade Donder-Weyl Hamiltonian theory

Mathematics Subject Classification ID

Clifford algebras, spinors (15A66) Multilinear algebra, tensor calculus (15A69) Exterior algebra, Grassmann algebras (15A75) Algebraic geometry methods for problems in mechanics (70G55) Applications of Clifford algebras to physics, etc. (15A67)

Cites Work

• Precanonical perspective in quantum gravity
• Fermions without spinors
• The Clifford algebra of differential forms
• A symplectic framework for field theories
• A canonical structure for classical field theories
• Canonical structure of classical field theory in the polymomentum phase space
• De Donder-Weyl equations and multisymplectic geometry
• Schrödinger wave functional in quantum Yang-Mills theory from precanonical quantization
• The globalization problem of the Hamilton-DeDonder-Weyl equations on a local \(k\)-symplectic framework
• Geodesic fields in the calculus of variation for multiple integrals
• Methods of Differential Geometry in Classical Field Theories
• Quantum kinematics and geometry
• The complete reduction of Clifford algebras
• Projector bases and algebraic spinors
• Duffin-Kemmer algebras revisited
• Galilean Duffin Kemmer Petiau algebra and symplectic structure
• Clifford Algebras and Lie Theory
• Multisymplectic formulation of vielbein gravity: I. De Donder–Weyl formulation, Hamiltonian ( n − 1)-forms
• On the spectrum of DW Hamiltonian of quantum SU(2) gauge field
• On The Characteristic Matrices of Covariant Systems
• The particle aspect of meson theory
• Hamiltonian Mechanics of Fields
• On the Duffin-Kemmer-Petiau formulation of the covariant Hamiltonian dynamics in field theory
• Precanonical quantum gravity: Quantization without the space-time decomposition
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