J. Appl. Math. 2003 (1), 55-64, (23 January 2003) DOI: 10.1155/S1110757X03202047
KEYWORDS: 17B10, 17B81, 15A90, 35Q40, 81V80
Consider the Lie algebras , , , , , and , subject to the physical conditions, and are real diagonal operators representing energy, , and the Hamiltonian is a Hermitian operator. Matrix representations are discussed and faithful representations of least degree for satisfying the physical requirements are given for appropriate values of .