In this paper, we construct two sets of vertex operators S+ and S? from a direct sum of two sets of Heisenberg algebras. Then by calculating the vacuum expectation value of some products of vertex operators, we get Ma...In this paper, we construct two sets of vertex operators S+ and S? from a direct sum of two sets of Heisenberg algebras. Then by calculating the vacuum expectation value of some products of vertex operators, we get Macdonald function in special variables xi = t i-1 ( i = 0,1, 2,). Hence we obtain the operator product formula for a special Macdonald function Pλ (1,t,,tn-1;q,t ) when n is finite as well as when n goes to infinity.展开更多
文摘In this paper, we construct two sets of vertex operators S+ and S? from a direct sum of two sets of Heisenberg algebras. Then by calculating the vacuum expectation value of some products of vertex operators, we get Macdonald function in special variables xi = t i-1 ( i = 0,1, 2,). Hence we obtain the operator product formula for a special Macdonald function Pλ (1,t,,tn-1;q,t ) when n is finite as well as when n goes to infinity.
