A complete and orthonormal representation in two-mode fock space gained by two-variable hermite polynomials

作者：Fan, HY^*; Zou, H; Fan, Y

来源：International Journal of Modern Physics A, 2001, 16(3): 369-375.

In terms of the two-variable Hermite polynomials' properties we derive the common eigenstates \q, lambda] of two permutable operators (a(dagger) b)(a b(dagger)) and a(dagger)a - b(dagger)b, where q is discrete and lambda is continuous. These states constitute a complete and orthonormal representation. Applications of the \q, lambda] are discussed.

• 出版日期2001-1-30
• 单位上海交通大学