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Quantum Mechanical Hilbert Transformation for Normally Ordering Coulomb Potential-Type Operators |
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| Authors: | FAN Hong-Yi FU Liang |
| Affiliation: | 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 Class for the Gifted Young, University of Science andTechnology of China, Hefei 230026, China |
| Abstract: | 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. |
| Keywords: | quantum Hilbert transform normally ordering Coulomb potential |
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