標(biāo)題: Titlebook: Direct and Inverse Scattering for the Matrix Schr?dinger Equation; Tuncay Aktosun,Ricardo Weder Book 2021 Springer Nature Switzerland AG 2 [打印本頁] 作者: 雜技演員 時(shí)間: 2025-3-21 18:48
書目名稱Direct and Inverse Scattering for the Matrix Schr?dinger Equation影響因子(影響力)
書目名稱Direct and Inverse Scattering for the Matrix Schr?dinger Equation影響因子(影響力)學(xué)科排名
書目名稱Direct and Inverse Scattering for the Matrix Schr?dinger Equation網(wǎng)絡(luò)公開度
書目名稱Direct and Inverse Scattering for the Matrix Schr?dinger Equation網(wǎng)絡(luò)公開度學(xué)科排名
書目名稱Direct and Inverse Scattering for the Matrix Schr?dinger Equation被引頻次
書目名稱Direct and Inverse Scattering for the Matrix Schr?dinger Equation被引頻次學(xué)科排名
書目名稱Direct and Inverse Scattering for the Matrix Schr?dinger Equation年度引用
書目名稱Direct and Inverse Scattering for the Matrix Schr?dinger Equation年度引用學(xué)科排名
書目名稱Direct and Inverse Scattering for the Matrix Schr?dinger Equation讀者反饋
書目名稱Direct and Inverse Scattering for the Matrix Schr?dinger Equation讀者反饋學(xué)科排名
作者: 逢迎春日 時(shí)間: 2025-3-21 22:50
Direct Scattering I,ing of a matrix potential and a self-adjoint boundary condition. We establish the properties of some of the main quantities arising in the direct scattering problem such as the Jost solution, the Jost matrix, the scattering matrix, the physical solution, and the regular solution. We consider various作者: 預(yù)知 時(shí)間: 2025-3-22 02:47 作者: RUPT 時(shí)間: 2025-3-22 04:56 作者: 小隔間 時(shí)間: 2025-3-22 10:12
Some Explicit Examples,xplicitly solved examples when its kernel contains a matrix exponential and hence becomes separable. The necessity of the integrability of the potential is demonstrated when a general self-adjoint boundary condition is used rather than only the Dirichlet boundary condition. The characterization of t作者: 沙發(fā) 時(shí)間: 2025-3-22 16:19 作者: 沙發(fā) 時(shí)間: 2025-3-22 17:59
Tuncay Aktosun,Ricardo WederPresents a complete and detailed matrix Marchenko method with general boundary conditions.Illustrates a comprehensive treatment of scattering theory through explicit examples.Indicates how the inverse作者: 感情 時(shí)間: 2025-3-23 00:56
Applied Mathematical Scienceshttp://image.papertrans.cn/e/image/280637.jpg作者: GRILL 時(shí)間: 2025-3-23 01:37 作者: 上坡 時(shí)間: 2025-3-23 07:24
978-3-030-38433-3Springer Nature Switzerland AG 2021作者: Thyroxine 時(shí)間: 2025-3-23 13:10
https://doi.org/10.1007/978-3-662-58125-4ith the general self-adjoint boundary condition. We show how the analysis of star graphs and the Schr?dinger scattering problem on the full line can be reduced to the study of the matrix Schr?dinger equation on the half line with some appropriate self-adjoint boundary conditions. To analyze the dire作者: 小說 時(shí)間: 2025-3-23 14:44 作者: ingenue 時(shí)間: 2025-3-23 18:58
https://doi.org/10.1007/978-3-662-58125-4of the wave operators introduced by M?ller. The role of the limiting absorption principle is indicated, and it is shown how the Hamiltonian and its resolvent are related to the potential and the two boundary matrices describing the general self-adjoint boundary condition. The generalized Fourier map作者: comely 時(shí)間: 2025-3-23 22:29
https://doi.org/10.1007/978-3-662-58125-4a set . in the Marchenko class. We discuss the nonuniqueness arising in the inverse scattering problem if the scattering matrix is defined one way with the Dirichlet boundary condition and in a different way with a non-Dirichlet boundary condition, as usually done in the standard literature. We pres作者: Ostrich 時(shí)間: 2025-3-24 03:17
https://doi.org/10.1007/978-3-662-58125-4xplicitly solved examples when its kernel contains a matrix exponential and hence becomes separable. The necessity of the integrability of the potential is demonstrated when a general self-adjoint boundary condition is used rather than only the Dirichlet boundary condition. The characterization of t作者: Incompetent 時(shí)間: 2025-3-24 09:25 作者: 遠(yuǎn)足 時(shí)間: 2025-3-24 13:59 作者: attenuate 時(shí)間: 2025-3-24 17:09 作者: Offbeat 時(shí)間: 2025-3-24 22:32
Direct Scattering I,tion of the boundary condition are explicitly constructed from the scattering data set. We analyze the bound states and prove Levinson’s theorem, showing how a change in the phase of the determinant of the scattering matrix is related to the total number of bound states including the multiplicities.作者: insurrection 時(shí)間: 2025-3-25 01:11
Inverse Scattering,om a given scattering matrix without having the bound-state information. From the given scattering matrix alone we show how to construct a scattering data set belonging to the Marchenko class so that the constructed scattering data set can be used as input into a properly posed inverse scattering pr作者: 蕨類 時(shí)間: 2025-3-25 06:14
Some Explicit Examples,he solution to the inverse scattering problem is illustrated with various explicit examples, and it is demonstrated how the potential, boundary condition, and other relevant quantities are constructed from a given scattering data set. The use of Levinson’s theorem and the generalized Fourier map is 作者: 使迷醉 時(shí)間: 2025-3-25 07:31 作者: Intentional 時(shí)間: 2025-3-25 13:05 作者: Glossy 時(shí)間: 2025-3-25 16:53
https://doi.org/10.1007/978-3-662-58125-4om a given scattering matrix without having the bound-state information. From the given scattering matrix alone we show how to construct a scattering data set belonging to the Marchenko class so that the constructed scattering data set can be used as input into a properly posed inverse scattering pr作者: 聽寫 時(shí)間: 2025-3-25 23:47 作者: 輕推 時(shí)間: 2025-3-26 03:29 作者: 加劇 時(shí)間: 2025-3-26 04:49
0066-5452 g theory through explicit examples.Indicates how the inverseAuthored by two experts in the field who have been long-time collaborators, this monograph treats the scattering and inverse scattering problems for the matrix Schr?dinger equation on the half line with the general selfadjoint boundary cond作者: averse 時(shí)間: 2025-3-26 10:10
Book 2021he matrix Schr?dinger equation on the half line with the general selfadjoint boundary condition. The existence, uniqueness, construction, and characterization aspects are treated with mathematical rigor, and physical insight is provided to make the material accessible to mathematicians, physicists, 作者: 干旱 時(shí)間: 2025-3-26 15:57 作者: Consensus 時(shí)間: 2025-3-26 18:12
Direct Scattering II, that the scattering matrix defined in terms of the Jost matrix coincides with the scattering matrix derived from the scattering operator. Various other topics are considered such as the properties of the spectral shift function, trace formulas of Buslaev–Faddeev type, and a Bargmann–Birman–Schwinger bound on the number of bound states.作者: 勾引 時(shí)間: 2025-3-26 23:19
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