Quantum Mechanical Hilbert Transformation for Normally Ordering Coulomb Potential-Type Operators
- ISSN号:0253-6102
- 期刊名称:《理论物理通讯:英文版》
- 时间:0
- 分类:O413[理学—理论物理;理学—物理]
- 作者机构:[1]Department of Materials Science and Engineering, University of Science and Technology of China, Hefei 230026, China, [2]Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, China, [3]Special Glass for the Gifted Young, University of Science and Technology of China, Hefei 230026, China
- 相关基金:The project supported by the President Foundation of the Chinese Academy of Sciences and National Natural Science Foundation of China under Grant No. 10475056.
中文摘要:
我们证明在操作员的一个订的产品以内的集成的技术能被扩大到 Hilbert 变换。在那么做,我们由使用数学 Hilbert 变换公式直接导出库仑潜在类型的操作员的通常订的扩大。
英文摘要:
We show that the technique of integration within an ordered product of operators can be extended to Hilbert transform. In so doing we derive normally ordered expansion of Coulomb potential-type operators directly by using the mathematical Hilbert transform formula.