Matrix Representations of the Two-Parameter Deformed Oscillator Algebra
DOI:
https://doi.org/10.29020/nybg.ejpam.v18i4.6733Keywords:
Matrix representation of Lie algebras, deformed Lie algebra, (p,q)-algebraic deformation.Abstract
Faithful matrix representations are presented for polynomially (p,q)-deformed Lie algebra l_{p,q}:[K₀,K₊]_{p,q}=rK₊, [K₋,K₀]_{p,q}=rK₋, [K₊,K₋]_{p,q}=P(K₀), where P is a real polynomial functions, p,q,r∈R^{∗}. The operators K₊,K₋ and K₀ satisfy certain physical properties. Conditions are set for F and the (p, q)-parameters, where the operators K+, K−, and K0, satisfy certain physical properties.
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Copyright (c) 2025 Latif Hanna, Shoukry Hassan, Maali Almutairi
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