Title : 
Circuit theoretical approach for one-dimensional quantum mechanics problems
         
        
            Author : 
Sanada, Hirofumi ; Nagai, Nobuo
         
        
            Author_Institution : 
Res. Inst. for Electron. Sci., Hokkaido Univ., Sapporo, Japan
         
        
        
        
        
        
            Abstract : 
This paper presents a simple, general and accurate analytic-numerical method to solve one-dimensional quantum mechanics problems. The method is based on the analogy of wave propagation between the transmission-line and the potential structure, and is applicable to potential barriers, wells, and superlattices. A guideline for designing new quantum effect devices can be easily obtained
         
        
            Keywords : 
III-V semiconductors; aluminium compounds; equivalent circuits; gallium compounds; indium compounds; interface states; iterative methods; quantum interference devices; semiconductor quantum wells; semiconductor superlattices; transmission line theory; tunnelling; InAs-GaSb-AlSb; InAs/GaSb/AlSb systems; analytic-numerical method; circuit theoretical approach; complex-valued transmission-line; effective mass model; eigenstates; equivalent circuit representation; one-dimensional quantum mechanics problems; potential barriers; potential structure; quantum effect device design; superlattices; tunneling phenomena; two band model; wave propagation analogy; wells; Equivalent circuits; Guidelines; Partial differential equations; Potential well; Propagation constant; Quantum mechanics; Steady-state; Transmission line matrix methods; Transmission lines; Tunneling;
         
        
        
        
            Conference_Titel : 
Microelectronics and VLSI, 1995. TENCON '95., IEEE Region 10 International Conference on
         
        
            Print_ISBN : 
0-7803-2624-5
         
        
        
            DOI : 
10.1109/TENCON.1995.496379