ON REPRESENTATIONS OF LIE ALGEBRAS OF A GENERALIZED TAVIS-CUMMINGS MODEL

physical conditions, K3 and K4 are real diagonal operators represent-ing energy, K2 = K 1, and the Hamiltonian H = ω1K3 + (ω1 + ω2)K4 + λ(t)(K1e−iφ +K2eiφ) is a Hermitian operator. Matrix representations are discussed and faithful representations of least degree for Lsr,t satisfying the physical requirements are given for appropriate values of r,s, t ∈ R. 1