SOME REMARKS ON CCR AND WEYL OPERATORS  

作　　者：骆顺龙 

出　　处：《Acta Mathematica Scientia》1998年第S1期120-123,共4页数学物理学报（B辑英文版）

摘　　要：Using the symbol calculus developed by Berezin, Kree and Raczka, it is shown that the algebra generated by the canonical commutation relation (CCR) is splitted into creation part and annhilation part with holomorphic and anti-bolomorphic symbols respectively. Further. in the Weyl representation of CCR, three Weyl operators will constitute an irreducible set of the fall CCR-algebra if some number theoretic conditions are satisfied.Using the symbol calculus developed by Berezin, Kree and Raczka, it is shown that the algebra generated by the canonical commutation relation (CCR) is splitted into creation part and annhilation part with holomorphic and anti-bolomorphic symbols respectively. Further. in the Weyl representation of CCR, three Weyl operators will constitute an irreducible set of the fall CCR-algebra if some number theoretic conditions are satisfied.

关 键 词：CCR symbol calculus Weyl operators irreducible set 

分 类 号：O177[理学—数学]