New Poisson Sum Formula Derived by Squeezing Transformation in Quantum Optics
Fan Hong-Yi, Ma Shan-Jun · Communications in Theoretical Physics · 2010
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 kq representation is derived.