Bilinear expansion of Schur functions in Schur Q-functions: A fermionic approach
Copyright policy )Bilinear expansion of Schur functions in Schur Q-functions: A fermionic approach
An identity is derived expressing Schur functions as sums over products of pairs of Schur Q Q -functions, generalizing previously known special cases. This is shown to follow from their representations as vacuum expectation values (VEV’s) of products of either charged or neutral fermionic creation and annihilation operators, Wick’s theorem and a factorization identity for VEV’s of products of two mutually anticommuting sets of neutral fermionic operators.
- Russian Academy of Sciences Russian Federation
- Centre de Recherches Mathématiques
- Russian Academy of Science Russian Federation
- University of Montreal Canada
- Institute of Oceanology. PP Shirshov Russian Academy of Sciences Russian Federation
Symmetric functions and generalizations, Combinatorial aspects of partitions of integers, Nonlinear Sciences - Exactly Solvable and Integrable Systems, 05E05 05A17, FOS: Physical sciences, polarizations, Mathematics - Rings and Algebras, Mathematical Physics (math-ph), Group Theory (math.GR), fermionic Wick theorem, Rings and Algebras (math.RA), FOS: Mathematics, Mathematics - Combinatorics, neutral fermion operators, Combinatorics (math.CO), Exactly Solvable and Integrable Systems (nlin.SI), Mathematics - Group Theory, Mathematical Physics
Symmetric functions and generalizations, Combinatorial aspects of partitions of integers, Nonlinear Sciences - Exactly Solvable and Integrable Systems, 05E05 05A17, FOS: Physical sciences, polarizations, Mathematics - Rings and Algebras, Mathematical Physics (math-ph), Group Theory (math.GR), fermionic Wick theorem, Rings and Algebras (math.RA), FOS: Mathematics, Mathematics - Combinatorics, neutral fermion operators, Combinatorics (math.CO), Exactly Solvable and Integrable Systems (nlin.SI), Mathematics - Group Theory, Mathematical Physics
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