The O( N) invariant quartic anharmonic oscillator is shown to be exactly solvable if the interaction parameter satisfies special conditions.The problem is directly related to that of a quantum double well anharmonic o...The O( N) invariant quartic anharmonic oscillator is shown to be exactly solvable if the interaction parameter satisfies special conditions.The problem is directly related to that of a quantum double well anharmonic oscillator in an external field.A finite dimensional matrix equation for the problem is constructed explicitly,along with analytical expressions for some excited states in the system.The corresponding Niven equations for determining the polynomial solutions for the problem are given.展开更多
The industrial structure in Jiangsu Province realizes the transformation from "secondary industry-primary industry-tertiary industry" to "tertiary industry-secondary industry-primary industry". How...The industrial structure in Jiangsu Province realizes the transformation from "secondary industry-primary industry-tertiary industry" to "tertiary industry-secondary industry-primary industry". However, the effectiveness of this model of industry-dominate industrial structure and the role of industrial structure pattern in promoting regional economic growth are yet to be researched. By using shift-share analysis method, we judge the importance of factors of industrial structure in regional economic growth of Jiangsu Province, and point out that factors of industrial structure are not the dominant forces in economic growth of Jiangsu Province; among the contributions of three industries to economic growth of Jiangsu Province, the contribution of the primary industry is greatest, followed by the contribution of secondary industry and the contribution of tertiary industry successively; real estate industry makes the greatest contribution to economic growth of Jiangsu Province; financial industry and construction industry make relatively small contributions; the potential of industry needs to be further developed. In the process of economic development of Jiangsu Province, the industrial structure is yet to be further optimized so as to give play to the role of industry in promoting the development of Jiangsu Province.展开更多
基金Support by the U.S.National Science Foundation(PHY-0500291&OCI-0904874)the Southeastern Universities Research Association,the Natural Science Foundation of China(11175078)+1 种基金the Doctoral Program Foundation of State Education Ministry of China(20102136110002)the LSU-LNNU joint research program(9961).
文摘The O( N) invariant quartic anharmonic oscillator is shown to be exactly solvable if the interaction parameter satisfies special conditions.The problem is directly related to that of a quantum double well anharmonic oscillator in an external field.A finite dimensional matrix equation for the problem is constructed explicitly,along with analytical expressions for some excited states in the system.The corresponding Niven equations for determining the polynomial solutions for the problem are given.
文摘The industrial structure in Jiangsu Province realizes the transformation from "secondary industry-primary industry-tertiary industry" to "tertiary industry-secondary industry-primary industry". However, the effectiveness of this model of industry-dominate industrial structure and the role of industrial structure pattern in promoting regional economic growth are yet to be researched. By using shift-share analysis method, we judge the importance of factors of industrial structure in regional economic growth of Jiangsu Province, and point out that factors of industrial structure are not the dominant forces in economic growth of Jiangsu Province; among the contributions of three industries to economic growth of Jiangsu Province, the contribution of the primary industry is greatest, followed by the contribution of secondary industry and the contribution of tertiary industry successively; real estate industry makes the greatest contribution to economic growth of Jiangsu Province; financial industry and construction industry make relatively small contributions; the potential of industry needs to be further developed. In the process of economic development of Jiangsu Province, the industrial structure is yet to be further optimized so as to give play to the role of industry in promoting the development of Jiangsu Province.