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Introduction to Quantum Graphs by Gregory Berkolaiko, Peter Kuchment

Introduction to Quantum Graphs

by Gregory Berkolaiko, Peter Kuchment
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Book cover type: Paperback
  • ISBN13: 9781470425999
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Orient Blackswan Pvt Ltd
  • Publisher Imprint: Orient Blackswan Pvt Ltd
  • Publication Date:
  • Pages: 288
  • Original Price: INR 1645.0
  • Language: English
  • Edition: N/A
  • Item Weight: 460 grams
  • BISAC Subject(s): N/A

A “quantum graph” is a graph considered as a one-dimensional complex and equipped with a differential operator (“Hamiltonian”). Quantum graphs arise naturally as simplified models in mathematics, physics, chemistry, and engineering when one considers propagation of waves of various nature through a quasi-one-dimensional (e.g., “meso-” or “nano-scale”) system that looks like a thin neighborhood of a graph. Since at least the 1930S, quantum graphs techniques have been applied successfully in various areas of mathematical physics, mathematics in general and its applications. This book provides a comprehensive introduction to the topic, collecting the main notions and techniques. It also contains a survey of the current state of the quantum graph research and applications<

Gregory Berkolaiko is Professor at the Department of Mathematics, Texas A&M University, College Station, USA.

Peter Kuchment is University Distinguished Professor at the Department of Mathematics, Texas A&M University, College Station, USA.

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