Exponential Perturbative Expansions and Coordinate Transformations
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comunitat-uji-handle2:10234/173364
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Title
Exponential Perturbative Expansions and Coordinate TransformationsDate
2020Publisher
MDPIISSN
1300-686X; 2297-8747Bibliographic citation
Arnal, A.; Casas, F.; Chiralt, C. Exponential Perturbative Expansions and Coordinate Transformations. Math. Comput. Appl. 2020, 25, 50.Type
info:eu-repo/semantics/articlePublisher version
https://www.mdpi.com/2297-8747/25/3/50Version
info:eu-repo/semantics/publishedVersionAbstract
We propose a unified approach for different exponential perturbation techniques used in
the treatment of time-dependent quantum mechanical problems, namely the Magnus expansion,
the Floquet–Magnus expansion for ... [+]
We propose a unified approach for different exponential perturbation techniques used in
the treatment of time-dependent quantum mechanical problems, namely the Magnus expansion,
the Floquet–Magnus expansion for periodic systems, the quantum averaging technique, and the
Lie–Deprit perturbative algorithms. Even the standard perturbation theory fits in this framework.
The approach is based on carrying out an appropriate change of coordinates (or picture) in each case,
and it can be formulated for any time-dependent linear system of ordinary differential equations.
All of the procedures (except the standard perturbation theory) lead to approximate solutions
preserving by construction unitarity when applied to the time-dependent Schrödinger equation. [-]
Is part of
Math. Comput. Appl. 2020, 25, 50.Investigation project
MTM2016-77660-P (AEI/FEDER, UE), UJI-B2019-17 and GACUJI/2020/05Rights
info:eu-repo/semantics/openAccess
This item appears in the folowing collection(s)
- MAT_Articles [765]
- IMAC_Articles [122]
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