Supercriticality and transmission resonances in the Dirac equation

被引:61
作者
Dombey, N [1 ]
Kennedy, P
Calogeracos, A
机构
[1] Univ Sussex, Ctr Theoret Phys, Brighton BN1 9QJ, E Sussex, England
[2] NCA Res Consultants, Maroussi 15122, Greece
关键词
D O I
10.1103/PhysRevLett.85.1787
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
It is shown that a Dirac particle of mass m and arbitrarily small momentum will tunnel without reflection through a potential barrier V = U-c(x) of finite range provided that the potential well V = -U-c(x) supports a bound state of energy E = -m. This is called a supercritical potential well.
引用
收藏
页码:1787 / 1790
页数:4
相关论文
共 24 条
[1]  
BOHM D, 1951, QUANTUM MECH, P286
[2]   Klein tunnelling and the Klein paradox [J].
Calogeracos, A ;
Dombey, N .
INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1999, 14 (04) :631-643
[3]  
Calogeracos A., 1996, YAD FIZ, V159, P1331
[4]  
Calogeracos A., 1996, PHYS ATOM NUCL, V159, P1275
[5]   LEVINSONS THEOREM, ZERO-ENERGY RESONANCES, AND TIME-DELAY IN ONE-DIMENSIONAL SCATTERING SYSTEMS [J].
DEBIANCHI, MS .
JOURNAL OF MATHEMATICAL PHYSICS, 1994, 35 (06) :2719-2733
[6]   Positron tunnelling through the Coulomb barrier of superheavy nuclei [J].
Dombey, N ;
Hall, RL .
PHYSICS LETTERS B, 2000, 474 (1-2) :1-6
[7]   Seventy years of the Klein paradox [J].
Dombey, N ;
Calogeracos, A .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1999, 315 (1-3) :41-58
[8]  
DOMBEY N, SUSXTH007
[9]   Relativistic Levinson theorem in two dimensions [J].
Dong, SH ;
Hou, XW ;
Ma, ZQ .
PHYSICAL REVIEW A, 1998, 58 (03) :2160-2167
[10]  
DOSCH HG, 1971, PHYS NORV, V5, P151