Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.), symmetric ground state, discrete \(q\)-Hermite polynomials of type II, exponential lattice, Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects), Linear difference operators, Applications of basic hypergeometric functions, symmetrized \(q\)-Laguerre polynomials, Quantum groups and related algebraic methods applied to problems in quantum theory, orthogonal polynomials