Quantum waveguides [electronic resource]

• 作者： Exner, Pavel.
• 其他作者：
  • Kovarik, Hynek.
  • SpringerLink (Online service)
• 其他題名：
  • Theoretical and Mathematical Physics,
• 出版： Cham : Springer International Publishing :Imprint: Springer
• 叢書名： Theoretical and Mathematical Physics,
• 主題： Quantum theory , Quantum theory--Mathematical models. , Wave mechanics , Wave guides , Physics , Mathematical Methods in Physics. , Ordinary Differential Equations. , Quantum Physics. , Theoretical, Mathematical and Computational Physics. , Operator theory
• ISBN： 9783319185767 (electronic bk.) 、 9783319185750 (paper)
• FIND@SFXID: CGU
• 資料類型: 電子書
• 內容註: Geometrically Induced Bound States -- Transport in locally perturbed tubes -- More about the waveguide spectra -- Dirichlet Layers -- Point Perturbations -- Weakly Coupled Bound States -- External Fields and Magnetic Transport -- Graph Limits of Thin Network Systems -- Periodic and Random Systems -- Leaky Waveguides.
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• 摘要註: This monograph explains the theory of quantum waveguides, that is, dynamics of quantum particles confined to regions in the form of tubes, layers, networks, etc. The focus is on relations between the confinement geometry on the one hand and the spectral and scattering properties of the corresponding quantum Hamiltonians on the other. Perturbations of such operators, in particular, by external fields are also considered. The volume provides a unique summary of twenty five years of research activity in this area and indicates ways in which the theory can develop further. The book is fairly self-contained. While it requires some broader mathematical physics background, all the basic concepts are properly explained and proofs of most theorems are given in detail, so there is no need for additional sources. Without a parallel in the literature, the monograph by Exner and Kovarik guides the reader through this new and exciting field.
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