MULTI-MODE LINEAR COMPOSITE MOMENTUM REPRESENTATION AND ITS APPLICATION

作者:Xu Shi Min; Xu Xing Lei*; Jiang Ji Jian; Li Hong Qi; Wang Ji Suo
来源:Modern Physics Letters B, 2009, 23(7): 975-988.
DOI:10.1142/s021798490901917x

摘要

A unitary transformation matrix, n linear-composite coordinate operators and n linear-composite momentum operators are constructed for an n-particle system, and the complete and orthonormal common eigenvectors of the multi-mode linear composite momentum operators are examined by virtue of the technique of integration within an ordered product of operators. The multi-mode linear composite momentum representation is proposed, and its application to a general two-mode forced quantum harmonic oscillator system with kinetic coupling is presented for solving some dynamic problems.

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