摘要:

AbstractThe hermitean oscillator‐like realizations of classical algebras in terms of bosonic and fermionic creation and annihilation operators are given. The hermitean realizations of classical superalgebras using boson‐fermion oscillators are explicitely described. The assumption of positive definite metric in a Hilbert space of the oscillators states is exploited. Due to this fact, the realizations of superalgebras in the Hilbert space can be constructed only for: the real orthosymplectic superalgebra osp (N; 2M;R); the unitary compact superalgebra su (N;M); the unitary noncompact oneSU(N;K,M); and the quaternionic unitary superalgebrauuα(N;

ISSN:0015-8208    

DOI:10.1002/prop.19860341002

出版商:WILEY‐VCH Verlag    

年代:1986

数据来源: WILEY

摘要:

AbstractThe Garbaczewski bosonization procedure is applied to the many‐electron problem. It leads to a non‐local c‐number path integral representation for the trace of the evolution operator which also depends on a mapping of the lattice points in the natural numbers. This mapping is needed for the implementation of the bosonization. We argue that the non‐local interactions and the dependence on the mapping can be disregarded in the limit of small electronc‐number field. We can then discuss the physics of the saddle point contribution. In the discussion the effects of the Pauli exclusion principle are introduced phenomeno

ISSN:0015-8208    

DOI:10.1002/prop.19860341003

出版商:WILEY‐VCH Verlag    

年代:1986

数据来源: WILEY

ISSN:0015-8208    

DOI:10.1002/prop.19860341001

出版商:WILEY‐VCH Verlag    

年代:1986

数据来源: WILEY