General exact solutions of certain second-order homogeneous algebraic differential equations

2015 ◽  
Vol 64 (6) ◽  
pp. 1011-1031 ◽  
Author(s):  
Lili He ◽  
Chuanning Song ◽  
Qingxiang Xu
2002 ◽  
Vol 11 (06) ◽  
pp. 483-489 ◽  
Author(s):  
SHI-HAI DONG ◽  
XIAO-YAN GU ◽  
ZHONG-QI MA ◽  
SHISHAN DONG

The exact solutions of the (2+1)-dimensional Dirac equation with a Coulomb potential and a scalar one are analytically presented by studying the second-order differential equations obtained from a pair of coupled first-order ones. The eigenvalues are studied in some detail.


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