ZERO-RANGE POTENTIAL FOR THE DIRAC-EQUATION IN 2 AND 3 SPACE DIMENSIONS - ELEMENTARY PROOF OF SVENDSEN THEOREM

被引:14
作者
COUTINHO, FAB [1 ]
NOGAMI, Y [1 ]
机构
[1] UNIV SAO PAULO, INST FIS, DEPT FIS MATEMAT, BR-20516 SAO PAULO, BRAZIL
来源
PHYSICAL REVIEW A | 1990年 / 42卷 / 09期
关键词
D O I
10.1103/PhysRevA.42.5716
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
There is a theorem proved by Svendsen which implies that a zero-range (-function) potential cannot be defined for the Dirac equation in two and three space dimensions. We give an elementary proof of the theorem by examining the solution of the Dirac equation with a square-well potential of finite range and taking the zero-range limit. © 1990 The American Physical Society.
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页码:5716 / 5719
页数:4
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[21]  
WOODS RD, 1957, B AM PHYS SOC, V2, P18