Singular perturbations in the interaction representation

DOI10.1016/0022-1236(80)90057-9zbMath0454.47014OpenAlexW2079676588MaRDI QIDQ1149617

Irving E. Segal, Rhonda J. Hughes

Publication date: 1980

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(80)90057-9

zbMATH Keywords

singular perturbationunitary groupinteraction representation

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) Groups and semigroups of linear operators (47D03) General theory of partial differential operators (47F05) Perturbation theories for operators and differential equations in quantum theory (81Q15) Initial value problems for linear higher-order PDEs (35G10)

Related Items (5)

On product integration of certain generalized operator-valued functions ⋮ Construction of dynamics and time-ordered exponential for unbounded non-symmetric Hamiltonians ⋮ Unnamed Item ⋮ Singular perturbations in the interaction representation, II ⋮ Some consequences of Duhamel's formula for weak solutions of time- dependent Schrödinger equations

Cites Work

• On strong product integration
• Local Non-linear Functions of Quantum Fields
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• Unnamed Item
• Unnamed Item

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