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

doi:10.1088/1674-1056/19/9/090312

Abstract For classical Hamiltonian with general form

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 al. 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.

Keywords: invariant eigen-operator method method normal coordinates

Received: 02 January 2010
Revised: 07 March 2010
Accepted manuscript online:

PACS:	0365
	6320

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 10874174) and the Specialized Research Fund for the Doctoral Program of Higher Education (Grant No. 20070358009).

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Fan Hong-Yi(范洪义), Chen Jun-Hua(陈俊华), and Yuan Hong-Chun (袁洪春) Applying invariant eigen-operator method to deriving normal coordinates of general classical Hamiltonian 2010 Chin. Phys. B 19 090312

[1]	Goldstein H, Poole J C P and Safko J L 2002 Classical Mechanics (Columbia University: Addison-Wesley)
[2]	Fan H Y and Chao L 2004 Phys. Lett. A 321 75
[3]	Fan H Y, Hu H P and Tang X B 2005 J. Phys. A: Math. Gen. 38 4391
[4]	Schrodinger E 1928 Four Lectures on Wave Mechanics (London: Blackie & Son)
[5]	Fan H Y 2005 From Quantum Mechanics to Quan-tum Optics\|Development of the Mathematical Physics (Shanghai: Shanghai Jiao Tong University Press) p349 (in Chinese)
[6]	Fan H Y and Tang X B 2008 Progress of Mathematical Physics in Quantum Mechanics in China (Shanghai: University of Science and Technology of China Press) p333 (in Chinese)

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

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