Does the Hartman effect exist in triangular barriers

作     者：李青玲 郑爽 肖智 Qing-Ling Li;Shuang Zheng;Zhi Xiao

作者机构：Department of Mathematics and PhysicsNorth China Electric Power UniversityBeijing 102206China Hebei Key Laboratory of Physics and Energy TechnologyNorth China Electric Power UniversityBaoding 071000Chin 

出 版 物：《Chinese Physics B》 (中国物理B（英文版）)

年 卷 期：2024年第33卷第3期

页      面：214-230页

核心收录：

学科分类：0809[工学-电子科学与技术（可授工学、理学学位）] 07[理学] 070205[理学-凝聚态物理] 08[工学] 0702[理学-物理学] 

基　　金：Project supported by the National Natural Science Foundation of China(Grant Nos.11974108,11875127,and 12211530044) the Fundamental Research Funds for the Central Universities(Grant No.2020MS052) 

主　　题：triangular barrier Hartman effect 

摘      要：We study the phase,Larmor and dwell times of a particle scattered off triangular barriers(TBs).It is interesting that the dependences of dwell,reflective phase and Larmor times on the wave number,barrier width and height for a pair of mirror-symmetric(MS)exact triangular barriers(ETBs)are quite different,as the two ETBs have quite distinct scattering *** comparison,the dependence of the transmitted phase or Larmor times is exactly the same,since the transmitted amplitudes are the same for a pair of MS *** further study the Hartman effect by defining the phase and Larmor velocities associated with the phase and Larmor *** find no barrier width saturation effect for the transmitted and reflected *** is indicated by the fact that all the velocities approach finite constants that are much smaller than the speed of light in vacuum for TBs with positive-slope impact *** for ETBs with vertical left edges,the naive velocities seem to also indicate the absence of the Hartman *** are quite distinct from rectangular barriers and may shed new light on the clarification of the tunneling time issues.