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New Poisson Sum Formula Derived by Squeezing Transformation in Quantum Optics |
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| Authors: | FAN Hong-Yi MA Shan-Jun |
| Affiliation: | 1.College of Physics & Communication Electronics, Jiangxi Normal University, Nanchang 330022, China;2.Department of Material Science and Engineering, University of Science and Technology of China, Hefei 230026, China;3.Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, China |
| Abstract: | Using squeezing transform in the context of quantum optics and based on the Fourier series expansion we rigorously derive a new Poisson sum formula. Application of this new formula to the representation transformation of kq-wave function for describing electrons in periodic lattice is demonstrated. In so doing, the transition matrix element of harmonic oscillator in kqrepresentation is derived. |
| Keywords: | new poisson sum formula squeezing transformation kq representation |
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