Numerical evaluation of coherent-state path integrals in quantum dynamics

Autor:	Bernd Burghardt, Joachim Stolze
Rok vydání:	1999
Předmět:	Quantum dynamics Mathematical analysis Anharmonicity General Physics and Astronomy Statistical and Nonlinear Physics Matrix multiplication symbols.namesake Path integral formulation symbols Coherent states Hamiltonian (quantum mechanics) Quantum Mathematical Physics Mathematics
Zdroj:	Journal of Physics A: Mathematical and General. 32:2075-2090
ISSN:	1361-6447 0305-4470
DOI:	10.1088/0305-4470/32/11/004
Popis:	The numerical evaluation of coherent-state path integrals for quantum dynamical problems is discussed for one-dimensional examples. To propagate an initial state, we use the normal and antinormal ordered coherent-state path integrals combined with a split-operator technique dividing the Hamiltonian into harmonic and anharmonic parts. For numerical purposes integrations must be approximated by quadrature formulae. This leads to a matrix multiplication scheme which is systematically tested for the double-well and Morse potentials. The method is accurate for propagation times much longer than the natural time scale of the system, and it allows for short as well as long time steps without loss of stability.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e90505e1533cef9cb60bcfe38aa7e990 https://doi.org/10.1088/0305-4470/32/11/004 Zobrazit plný text záznamu