从二维到三维的场致电子发射:电动力学与量子力学相结合的一个例子  

Field electron emission from two-to three-di mensional space:an instance of electrodynamic and quantum-mechanical interdisciplinary study

作　　者：李志兵[1] 

机构地区：[1]光电材料与技术国家重点实验室中山大学物理科学与工程技术学院,广州510275

出　　处：《大学物理》2010年第7期1-3,共3页College Physics

基　　金：国家基础科学(物理学)人才培养基地项目;科技部"纳米技术"重大科学研究计划项目(2007CB935500)资助;国家自然科学基金(10674182)资助

摘　　要：讨论电场使电子从纳米厚度的金属片经过量子隧穿进入真空的过程.忽略金属片的厚度,通过共形变换,使得真空电势和电子波函数满足简单的边界条件,从而得到严格的电势分布和近似的电子波函数解,给出发射电流密度空间分布的表达式.Electrons of a metallic nano-sheet tunneling into vacuum via the electric field is studied. Ignoring the thickness of the sheet, the boundary surfaces of the cathode and anode are mapped into two planes respectively through a conformal transformation, thereby, the electrostatic potential barrier is obtained rigorously and the Schroedinger equation is solved analytically. Analytical expressions for the electron wavefunction and the emission current density are given.

关 键 词：场致电子发射 量子隧穿 共形变换 

分 类 号：O413.2[理学—理论物理]