Applying invariant eigen-operator method to deriving normal coordinates of general classical Hamiltonian

作者：Fan Hong-Yi; Chen Jun-Hua; Yuan Hong-Chun^*

来源：Chinese Physics B, 2010, 19(9): 090312.

DOI：10.1088/1674-1056/19/9/090312

• invariant eigen-operator method method
• normal coordinates

For classical Hamiltonian with general form H = 1/2 Sigma(ij)M(ij)p(i)p(j) + 1/2 Sigma(ij)L(ij)q(i)q(j) we find a new convenient way to obtain its normal coordinates, namely, let H be quantised and then employ the invariant eigen-operator (IEO) method (Fan et at 2004 Phys. Lett. A 321 75) to derive them. The general matrix equation, which relies on M and L, for obtaining the normal coordinates of H is derived.

• 出版日期2010-9
• 单位中国科学技术大学