We derive a formula for double-pulse spectra from closed-orbit theory. We then calculate the double-pulse photodetachment spectra of H<SUP>?</SUP> in the presence of parallel electric and magnetic fields. ...We derive a formula for double-pulse spectra from closed-orbit theory. We then calculate the double-pulse photodetachment spectra of H<SUP>?</SUP> in the presence of parallel electric and magnetic fields. We analyze the spectra in terms of closed-orbits of the system. We suggest a method for the measurement of a phase associated with each closed-orbit.展开更多
Let B(H) be the algebra of all bounded linear operators on a complex separable infinite dimensional Hilbert space H.Denote by π the quotient map of B(H) onto the Calkin algebra A(H).In 1984,Apostol et al.raised the f...Let B(H) be the algebra of all bounded linear operators on a complex separable infinite dimensional Hilbert space H.Denote by π the quotient map of B(H) onto the Calkin algebra A(H).In 1984,Apostol et al.raised the following conjecture:If an operator T on H is not similar to a compact perturbation of a Jordan operator,then the similarity orbit of π(T) in A(H) coincides with the π-image of the similarity orbit of T.In this paper,we investigate the structure of similarity orbits in the Calkin algebra and give a negative answer to the above conjecture.展开更多
基金Supported by the National Natural Science Foundation of China(No.51422212 and 21307142)Ningbo Science and Technology Bureau(No.2015A610248,2015B11003)+2 种基金Zhejiang Provincial Natural Science Foundation of China(LR16B030001)C.Wong Education Foundation(rczx0800)Chinese Academy of Science(QYZDB-SSW-JSC037,ZDRW-CN-2016-1)
文摘We derive a formula for double-pulse spectra from closed-orbit theory. We then calculate the double-pulse photodetachment spectra of H<SUP>?</SUP> in the presence of parallel electric and magnetic fields. We analyze the spectra in terms of closed-orbits of the system. We suggest a method for the measurement of a phase associated with each closed-orbit.
基金supported by National Natural Science Foundation of China(Grant Nos.10971079,11026038)the Basic Research Foundation of Jilin University(Grant No.201001001)the Young Fund of Department of Mathematics at Jilin University
文摘Let B(H) be the algebra of all bounded linear operators on a complex separable infinite dimensional Hilbert space H.Denote by π the quotient map of B(H) onto the Calkin algebra A(H).In 1984,Apostol et al.raised the following conjecture:If an operator T on H is not similar to a compact perturbation of a Jordan operator,then the similarity orbit of π(T) in A(H) coincides with the π-image of the similarity orbit of T.In this paper,we investigate the structure of similarity orbits in the Calkin algebra and give a negative answer to the above conjecture.
