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Single-step propagators for calculation of time evolution in quantum systems with arbitrary interactions

I. Gonoskov ; Mattias Marklund (Institutionen för fysik, Teoretisk fysik (Chalmers))
Computer Physics Communications (0010-4655). Vol. 202 (2016), p. 211-215.
[Artikel, refereegranskad vetenskaplig]

We propose and develop a general method of numerical calculation of the wave function time evolution in a quantum system which is described by Hamiltonian of an arbitrary dimensionality and with arbitrary interactions. For this, we obtain a general n-order single-step propagator in closed-form, which could be used for the numerical solving of the problem with any prescribed accuracy. We demonstrate the applicability of the proposed approach by considering a quantum problem with non-separable time-dependent Hamiltonian: the propagation of an electron in focused electromagnetic field with vortex electric field component.

Nyckelord: Quantum physics, Single-step propagators, Wave function evolution

Denna post skapades 2016-04-22. Senast ändrad 2016-05-02.
CPL Pubid: 235054


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