Lecture notes on Schrödinger equations

書誌事項

Lecture notes on Schrödinger equations

Alexander Pankov

(Contemporary mathematical studies / edited by Gaston N'Guerrekata)

Nova Science Publishers, c2007

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注記

Includes bibliographical references (p. 179-184) and index

収録内容

  • A bit of quantum mechanics
  • Operators in Hilbert spaces
  • Spectral theorem for self-adjoint operators
  • Compact operators and the Hilbert-Schmidt theorem
  • Elements of perturbation theory
  • Variational principles
  • One-dimensional Schrödinger operator
  • Multidimensional Schrödinger operator
  • Periodic Schrödinger operators
  • Quantum graphs
  • Nonlinear Schrödinger equation

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