1. N-mode linear-composite coordinate representation and its applications
- Author
-
Xing-Lei Xu, Hong-Qi Li, Ji-Jian Jiang, and Shi-Min Xu
- Subjects
Algebra ,Affine coordinate system ,Orthonormal basis ,Ellipsoidal coordinates ,Unitary transformation ,Coordinate space ,Condensed Matter Physics ,Coordinate descent ,Mathematical Physics ,Atomic and Molecular Physics, and Optics ,Eigenvalues and eigenvectors ,Mathematics ,Elliptic coordinate system - Abstract
Using the technique of integration within an ordered product of operators, a unitary transformation matrix and N linear-composite coordinate operators are constructed for an N-particle system, and the complete and orthonormal common eigenvectors of the N linear-composite coordinate operators are examined. The N-mode linear-composite coordinate representation is proposed, and its application to a general N-mode coupling quantum harmonic system is studied for solving some dynamic problems.
- Published
- 2008