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[Pavel Exner]Quantum Waveguides (Theoretical and Mathematical Physics)(pdf){Zzzzz}[BЯ]

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Description

 							
  
  
  
  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.
  
  Editorial Reviews
  From the Back Cover
  
  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.
  About the Author
  
  Pavel Exner is a Czech mathematical physicist.
  
  Hynek
Kovařík is an Assistant Professor in Mathematics at Università degli studi di Brescia. His areas of research
cover problems in spectral theory of differential operators and functional analysis which arise from quantum physics.
  
  Publisher: Springer; 2015 edition (June 1, 2015)
  Language: English
 
ISBN-10: 3319185756
  ISBN-13: 978-3319185750
  
  
   						

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