We generalize Kupisewska method to the three-dimensional system and another derivation of the Casimir effect between two dielectric plates is presented based on the explicit quantization of the electromagnetic field i...We generalize Kupisewska method to the three-dimensional system and another derivation of the Casimir effect between two dielectric plates is presented based on the explicit quantization of the electromagnetic field in the presence of dielectricsl where the physical meaning of ＂evanescent mode＂ is discussed. The Lifshitz＇s formula is rederived using all the vacuum mode functions, which include the contribution of the ＇evanescent modes＇. Only in the case of the perfect, metallic plates will the evanescent modes become unimportant.展开更多
We study electron transmission through two impurities in a narrow quantum wire by solving Dyson's equations for single electron Green functions. We have verified that, for the delta-function potential of two impur...We study electron transmission through two impurities in a narrow quantum wire by solving Dyson's equations for single electron Green functions. We have verified that, for the delta-function potential of two impurities, the Green function can be factorized into a product of the ‘free’ Green function and current transmission amplitude. Meanwhile Green function and current transmission amplitude obey Fisher-Lee's relation. An analytical expression of the electron transmission amplitude for intrasubband and intersubband is obtained as a function of Fermi energy and the distance between two impurities. The resonant behavior of the current transmission amplitude are detail discussed.展开更多
基金The project partially supported by the State Key Basic Research Program of China under Grant No. 2003CB716300 and National Natural Science Foundation of China under Grant No. 10121503
文摘We generalize Kupisewska method to the three-dimensional system and another derivation of the Casimir effect between two dielectric plates is presented based on the explicit quantization of the electromagnetic field in the presence of dielectricsl where the physical meaning of ＂evanescent mode＂ is discussed. The Lifshitz＇s formula is rederived using all the vacuum mode functions, which include the contribution of the ＇evanescent modes＇. Only in the case of the perfect, metallic plates will the evanescent modes become unimportant.
文摘We study electron transmission through two impurities in a narrow quantum wire by solving Dyson's equations for single electron Green functions. We have verified that, for the delta-function potential of two impurities, the Green function can be factorized into a product of the ‘free’ Green function and current transmission amplitude. Meanwhile Green function and current transmission amplitude obey Fisher-Lee's relation. An analytical expression of the electron transmission amplitude for intrasubband and intersubband is obtained as a function of Fermi energy and the distance between two impurities. The resonant behavior of the current transmission amplitude are detail discussed.
