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Quantum graphs: I. Some basic structures

Waves Random Media, ISSN: 0959-7174, Vol: 14, Issue: 1, Page: S107-S128
2004
  • 443
    Citations
  • 0
    Usage
  • 56
    Captures
  • 3
    Mentions
  • 72,765
    Social Media
Metric Options:   Counts1 Year3 Year

Metrics Details

  • Citations
    443
    • Citation Indexes
      443
  • Captures
    56
  • Mentions
    3
    • References
      3
      • Wikipedia
        3
  • Social Media
    72,765
    • Shares, Likes & Comments
      72,765
      • Facebook
        72,765

Article Description

A quantum graph is a graph equipped with a self-adjoint differential or pseudo-differential Hamiltonian. Such graphs have been studied recently in relation to some problems of mathematics, physics and chemistry. The paper has a survey nature and is devoted to the description of some basic notions concerning quantum graphs, including the boundary conditions, self-adjointness, quadratic forms, and relations between quantum and combinatorial graph models.

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