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Normally Ordered Expansion of the Even-Power of the Radial Coordinate Operator |
| FAN Hong-Yi |
| 1Department of Applied Physics, Shanghai Jiao Tong
University, Shanghai 200030
2Department of Material Science and Engineering, University of Science and Technology of China, Hefei 230026
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| Cite this article: |
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FAN Hong-Yi 2001 Chin. Phys. Lett. 18 1427-1430 |
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Abstract By virtue of the technique of integration within an ordered product of operators we derive the concise normally ordered expansion of even-power of radial coordinate operator via the equation r = ∫d3x|x > < x|r, where |x > is the three-dimensional coordinate eigenvector, and r = (x2 + y2 + z2)1/2. The applications to perturbation theory is briefly discussed.
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03.65.Bz
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Published: 01 November 2001
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