Guangdong Inst Educ, Dept Phys, Guangzhou 510303, Peoples R China
; CCAST, World Lab, Beijing 100080, Peoples R China
; Zhongshan Univ, Dept Phys, Guangzhou 510275, Peoples R China
; Zhongshan Univ, Sch Phys Sci & Engn, Ctr Computat Phys, Guangzhou 510275, Peoples R China
; Univ Laval, Dept Phys, Quebec City, PQ G1K 7P4, Canada
; Acad Sinica, Inst High Energy Phys, Beijing 100039, Peoples R China
QCD in two dimensions is investigated using the improved fermionic lattice Hamiltonian proposed by Luo, Chen, Xu, and Jiang. We show that the improved theory leads to a significant reduction of finite lattice spacing errors. The: quark condensate and the mass of the lightest quark and antiquark bound states in the strong coupling phase (different from the 't Hooft phase) are computed. We find agreement between our results and the analytical ones in the continuum. [S0556-2821(99)01711-7].