Quantum averaging. III. Time-dependent systems

DOI10.1063/1.532411zbMath1002.81016OpenAlexW2026542029MaRDI QIDQ4260502

Wolfgang Scherer

Publication date: 15 December 2002

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

Full work available at URL: https://doi.org/10.1063/1.532411

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Perturbation theories for operators and differential equations in quantum theory (81Q15) Perturbations, KAM theory for infinite-dimensional Hamiltonian and Lagrangian systems (37K55)

Related Items (2)

Unitary transformations depending on a small parameter ⋮ On time-dependent perturbation theory in matrix mechanics and time averaging

Cites Work

• Resonances for the AC-Stark effect
• The quantum stability problem for some class of time-dependent Hamiltonians
• Floquet Hamiltonians with pure point spectrum
• New perturbation algorithms for time-dependent quantum systems.
• Stationary scattering theory for time-dependent Hamiltonians
• Nonlinearly coupled oscillators in quantum mechanics: A normal form approach
• Quantum averaging II: Kolmogorov's algorithm
• Superconvergent Perturbation Method in Quantum Mechanics
• Quantum averaging. I. Poincare-von Zeipel is Rayleigh Schrodinger

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