On Generalized Clifford Algebras and their Physical Applications

DOI10.1007/978-1-4419-6263-8_28zbMath1323.15014arXiv1005.4300OpenAlexW1664872820MaRDI QIDQ3449755

Ramaswamy Jagannathan

Publication date: 5 November 2015

Published in: The Legacy of Alladi Ramakrishnan in the Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1005.4300

zbMATH Keywords

quantum groupsDirac equationdark matterClifford algebrageneralized Clifford algebrasprojective representations of finite abelian groupsfinite-dimensional quantum mechanics\(L\)-matrix theoryDirac's positive-energy relativistic wave equationfinite-dimensional canonical transformationsfinite-dimensional Wigner functionHeisenberg-Weyl commutation relationkinematic confinement of quarksmagnetic Bloch functions

Mathematics Subject Classification ID

Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Clifford algebras, spinors (15A66) Applications of group representations to physics and other areas of science (20C35) Projective representations and multipliers (20C25)

Related Items (6)

Fischer decomposition in generalized fractional ternary Clifford analysis ⋮ Monogenic functions with values in generalized Clifford algebras ⋮ Fourth-order wave equation in Bhabha–Madhavarao spin-3 2 theory ⋮ Generalized Clifford algebras as algebras in suitable symmetric linear Gr-categories ⋮ Towards space from Hilbert space: finding lattice structure in finite-dimensional quantum systems ⋮ Constructing Clifford algebras for windmill and Dutch windmill graphs; a new proof of the friendship theorem

Cites Work

• The weak interaction Hamiltonian in L-matrix theory
• Quantum field theory. A modern perspective
• Wigner–Weyl correspondence in quantum mechanics for continuous and discrete systems—a Dirac-inspired view
• Projective Representations of Abelian Groups
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