On time-dependent perturbation theory in matrix mechanics and time averaging

DOI10.1088/0143-0807/36/5/055049zbMath1332.81063OpenAlexW2521029115MaRDI QIDQ2793748

Fernando Casas

Publication date: 17 March 2016

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

Full work available at URL: http://hdl.handle.net/10234/154925

zbMATH Keywords

averagingmatrix mechanicstime-dependent perturbation theory

Mathematics Subject Classification ID

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

Related Items (1)

Unitary, continuum, stationary perturbation theory for the radial Schrödinger equation

Uses Software

• DLMF

Cites Work

• On the convergence and optimization of the Baker-Campbell-Hausdorff formula
• New perturbation algorithms for time-dependent quantum systems.
• Mathematical aspects of classical and celestial mechanics. Transl. from the Russian by E. Khukhro.
• Analytic Approximations for Linear Differential Equations with Periodic or Quasi-periodic Coefficients
• Birkhoff-Gustavson normal form in classical and quantum mechanics
• Quantum averaging. III. Time-dependent systems
• Quantum averaging. I. Poincare-von Zeipel is Rayleigh Schrodinger
• Unitary transformations depending on a small parameter

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