On a special type of solutions of arbitrary higher spin Dirac operators

DOI10.1088/1751-8113/43/32/325208zbMath1194.81082OpenAlexW1973173084MaRDI QIDQ3583354

Hennie De Schepper, Tim Raeymaekers, David Eelbode

Publication date: 27 August 2010

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

Full work available at URL: https://biblio.ugent.be/publication/1056910

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Spinor and twistor methods applied to problems in quantum theory (81R25)

Related Items (11)

Decomposition of the polynomial kernel of arbitrary higher spin Dirac operators ⋮ Construction of conformally invariant higher spin operators using transvector algebras ⋮ Factorization of Laplace operators on higher spin representations ⋮ Construction of arbitrary order conformally invariant operators in higher spin spaces ⋮ Higher Order Fermionic and Bosonic Operators ⋮ The higher spin Laplace operator in several vector variables ⋮ Twisted higher spin Dirac operators ⋮ Third-Order Fermionic and Fourth-Order Bosonic Operators ⋮ Gegenbauer Type Polynomial Solutions for the Higher Spin Laplace Operator ⋮ TRIPLE MONOGENIC FUNCTIONS AND HIGHER SPIN DIRAC OPERATORS ⋮ On the fundamental solution for higher spin Dirac operators

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