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General scheme of splittings of degenerate eigensubspaces and eigenelements of self-adjoint operators in high orders of perturbation theory

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Publication:2738149
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DOI10.1063/1.533438zbMath0971.81029OpenAlexW2092160598MaRDI QIDQ2738149

M. P. Dyachenko, A. Ya. Tsaune

Publication date: 30 August 2001

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.533438


Mathematics Subject Classification ID

Perturbation theories for operators and differential equations in quantum theory (81Q15)




Cites Work

  • Analysis of the Schrödinger energy series
  • Störungstheorie der Spektralzerlegung. 5
  • On the perturbation theory of closed linear operators
  • Energy of a Many-Particle System
  • Champs self-consistents et électrons métalliques - III.
  • Studies in Perturbation Theory. IX. Connection Between Various Approaches in the Recent Development—Evaluation of Upper Bounds to Energy Eigenvalues in Schrödinger's Perturbation Theory
  • Parameter Differentiation of Quantum-Mechanical Linear Operators
  • On Feenberg's Perturbation Formula
  • A Note on Perturbation Theory
  • The Vibration-Rotation Energies of Molecules
  • The exact calculation of long-range forces between atoms by perturbation theory
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