WavePacket (Matlab/Octave) / Tickets / #289 Higher order operator splitting

#289 Higher order operator splitting

Milestone: Core functionalities

Status: pending

Owner: Burkhard Schmidt

Labels: None

Updated: 2023-07-27

Created: 2023-04-18

Creator: Burkhard Schmidt

Private: No

Implement also higher order split operator schemes, such as Yoshida-Neri, Kahan-Li, and Blanes-Casa (see also their web site). From the many works of the latter ones, in particular the schemes for time-dependent Hamiltonians should be of interest (because for time-independent Hamiltions we already have the Chebychev polynomial scheme which is considered excellent).

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Burkhard Schmidt - 2023-04-18

Is the splitting between potential energy couplings and dipole couplings (as currently implemented here and there) really necessary? After all, they should commute with each other.
To be discussed with U.L.

Last edit: Burkhard Schmidt 2023-07-21

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-Implement also higher order split operator schemes, such as Yoshida-Neri, Kahan-Li, and Blanes-Casa. From the many works of the latter ones in particular the schemes for *time-dependent* Hamiltonians (because for *time-independent* Hamiltions we already have the Chebychev poynomial scheme which is considered as being excellent).
+Implement also higher order split operator schemes, such as Yoshida-Neri, Kahan-Li, and Blanes-Casa (see also their web site). From the many works of the latter ones, in particular the schemes for *time-dependent* Hamiltonians should be of interest (because for *time-independent* Hamiltions we already have the Chebychev polynomial scheme which is considered excellent).

Higher order operator splitting

Dynamics of quantum systems, controlled by external fields

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#289 Higher order operator splitting

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