PARAMAGNETISM FOR NON-RELATIVISTIC ELECTRONS AND EUCLIDEAN MASSLESS DIRAC PARTICLES

被引:19
作者
AVRON, JE [1 ]
SEILER, R [1 ]
机构
[1] FREE UNIV BERLIN,INST THEORET PHYS,D-1000 BERLIN 33,FED REP GER
关键词
D O I
10.1103/PhysRevLett.42.931
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We construct the manifold of zero-energy eigenstates for a nonrelativistic spin- particle moving in a plane in an external magnetic field B(x)=n=0Nn(xn), with {n} and {n} arbitrary reals and {kn} positive integers. For a given B the ground state is infinitely degenerate and the manifold of eigenfunctions is parametrized by a point in R2(2kmax+1). For such B's we prove paramagnetism with arbitrary external potential V(x). © 1979 The American Physical Society.
引用
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页码:931 / 934
页数:4
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