Recent developments in applied mathematics and mechanics: theory, experiment and practice. Devoted to the 80th anniversary of academician N.N.Yanenko

Akademgorodok, Novosibirsk, Russia, June 24 - 29, 2001

Abstracts

Novosibirsk participants

Approximation of quantum propagator in time-dependent problems

Morokov Y.N.

Institute of Computational Technologies SB RAS (Novosibirsk)

The Feynman's approximation at small time intervals for the quantum propagator of time-dependent quantum system is not uniquely possible. The condition of the approximation of the Schrodinger equation leaves a large arbitrariness in selection of the weight coefficients for different space points. In particular, it is possible to choose them as a set of delta-functions that corresponds to the difference approximation of the Schrodinger equation. It's possible to use this arbitrariness to increase the efficiency of algorithms of the Quantum Monte Carlo method and to raise a question on local behavior of the real trajectories of quantum particles.

Full Text in Russian: PDF (476 kb)
Note. Abstracts are published in author's edition

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