A No—Go Theorem for Nonlinear Canonical
Quantization
MiroslayEnglis
【期刊名称】《理论物理通讯：英文版》 【年(卷),期】2002(037)003
【摘要】We want to point out the following strengthening of the classical theorem of Groenewold and van Hove:There exists no mapping Op from polynomial observables f(p,q) on the phase space R2n into linear operators on L2 (Rn) which would map Poisson brackets into commutators,the position and momentum observables p and q into the usual (Schrodinger) position and momentum operators,and would obey the von Neumann rule Op (cfk)=cDp(f)k for k=1,2,3 and c∈R.The point is that neither linearity,nor continuity etc.of Op are assumed. 【总页数】2页(P.287-288)
【关键词】量子力学;非线性正则量子化;行不通原理 【作者】MiroslayEnglis
【作者单位】MUAVCR，ZITNA25，11567Prague1,CzechRepublic 【正文语种】英文 【中图分类】O413.1 【相关文献】
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A No—Go Theorem for Nonlinear Canonical Quantization
