The energy eigenvalue, eigenfunction, matrix elements of coordinate and momentum operators in energy representation, and evolution operator for a two-dimentional coupled oscillator are presented by using the general linear quantum transformation theory.

• 摘要运用广义线性量子变换理论，给出一类二维耦合量子谐振子的能量本征值、本征函数、坐标和动量算符在能量表象中的矩阵元及演化算符。