ON THE ESSENTIAL SPECTRUM OF PSEUDODIFFERENTIAL OPERATORS （Ⅱ）

This paper coutinues the studies of the essential spectrum of nonsemi-bounded pseudodifferential operators. The author improves the results in [5] in some sense. For the relativistic Schrodinger operator,√(-Δ+m^2)+v(x),complete results are obtained.     

ON A SUFFICIENT CONDITION FOR THE METRIC COEFFICIENTS TO BE CONFORMALLY TIME-INDEPENDENT

The statement in Rindler's book "Essential Relativity" [(Springer-Verlag, New York, 1977), p. 119] claiming that "the metric coefficients are time-independent if light signals tracing out the same path always take the same coordinate time" has two problems, the first one has been pointed out by us in a recent paper "relation between choosing ‘good' coordinates and the behavior of light signals" [Acta Physica Sinica (Overseas Edition), 3(1994), 881], while the second is the main focus of the present article.     

计入次近邻作用的─维点阵的定＂长＂比热

计算了计入次近邻相互作用后一维点阵在低温下的定＂长＂比热,结果表明次近邻的影响使比热减小．比热;次近邻作用     

A Hecke Algebra Quotient and Some Combinatorial Applications

Let (W, S) be a Coxeter group associated to a Coxeter graph which has no multiple bonds. Let H be the corresponding Hecke Algebra. We define a certain quotient \-H of H and show that it has a basis parametrized by a certain subset W _cof the Coxeter group W. Specifically, W _cconsists of those elements of W all of whose reduced expressions avoid substrings of the form sts where s and t are noncommuting generators in S. We determine which Coxeter groups have finite W _cand compute the cardinality of W _cwhen W is a Weyl group. Finally, we give a combinatorial application (which is related to the number of reduced expressions for w W _cof an exponential formula of Lusztig which utilizes a specialization of a subalgebra of \-H.