散射相移和束缚态数目的关系------Levinson定理马中骐中国科学院高能物理研究所e-mail:mazg@mail.ihep.ac.cn
1 散射相移和束缚态数目的关系 -Levinson定理 马中骐 中国科学院高能物理研究所 e-mail: mazq@mail.ihep.ac.cn
报告内客1.Jost函数方法证明薛定方程的Levinson定理2.Sturm-Liouville定理方法证明薛定方程的Levinson定理3.结论2
2 报告内容 1. Jost函数方法证明薛定谔方程 的Levinson定理 3. 结论 2. Sturm-Liouville定理方法证明 薛定谔方程的Levinson定理
ProofoftheLevinsontheorembytheSturm-LiouvilletheoremZhong-Qi MaInstituteforTheoreticalPhysics,StateUniversityofNewYorkatStonyBrook,StonyBrook,NewYork11794(Received 19January1985; accepted for publication 12April 1985)TheLevinson theorem is provedby the Sturm-Liouville theorem in this paper.ForthepotentialorlV(r)]dr< co,V(r)+b/when r-+oo,themodified Levinson theorem isderived asn,=(1/m)8,(0)+(a-1)/2-±sin{8,(0)+[(a-1)/2]],ifa(d+1)=b+1(1+1)>2ora=0Two examples which violatetheLevinson theorem and satisfythemodified Levinson theoremarediscussed.1995J.Math.Phys.26 (8),August198519950022-2488/85/081995-05$02.501985AmericanInstituteofPhysics1995J. Math. Phys.26 (8), August 19853
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FROM CLASSICAL TOQUANTUM MECHANICSAn Introduction to the Formalism, Foundationsand ApplicationsGIAMPIEROESPOSITO,GIUSEPPE MARMOINFN, Sezione di Napoli andDipartimento di Scienze FisicheUniversita Federico II di NapoliGEORGE SUDARSHANDepartment of Physics,University of Texas, AustinFirst published 2004Printed in the United Kingdom at the University Press, Cambridge4
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GEORGESUDARSHANhasbeennominated for the Nobel Prizesix times and has received manyawards,includingtheBoseMedalin.1977
5 GEORGE SUDARSHAN has been nominated for the Nobel Prize six times and has received many awards, including the Bose Medal in 1977