Nanowaveguides. Bloch Waves

  • Sergey LebleEmail author
Part of the Springer Series on Atomic, Optical, and Plasma Physics book series (SSAOPP, volume 109)


The quantum description of transport properties in nanostructures are directly connected with the geometry of the object and the corresponding electron states in a field of atomic systems [1, 2]. Waveguide properties in optics and microwaves demonstrate the very rich set of possibilities for solitonic behavior [3], and also constructive possibilities [4]. The conventional quantum mechanics of pure electron states originated from the mathematical results of Floquet [5], which lead to the fundamental notion of the Bloch  function. The quantum state is here defined as the common eigenfunction of commuting translational symmetric Hamiltonian and shift operators [6]


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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Immanuel Kant Baltic Federal UniversityKaliningradRussia

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