Normally Ordered Expansion of the Even-Power of the Radial Coordinate Operator
Fan Hong-Yi; Fan Hong-Yi; Department of Applied Physics, Shanghai Jiao Tong University and Shanghai 200030and Department of Material Science and Engineering, University of Science and Technology of China, Hefei 230026
Журнал:
Chinese Physics Letters
Дата:
2001-11-01
Аннотация:
By virtue of the technique of integration within an ordered product of operators we derive the concise normally ordered expansion of the even-power of the radial coordinate operator via the equation = ∫d<sup>3</sup>x|x⟩⟨x|r, where |x⟩ is the three-dimensional coordinate eigenvector, and r = (x<sup>2</sup> + y<sup>2</sup> + z<sup>2</sup>)<sup>1/2</sup>. The application to perturbation theory is briefly discussed.
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