Published 1998 | Version v1
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Numerical solution of the nonstationary Schroedinger equation with increased accuracy

Creators

Description

The method of Crank-Nicolson difference scheme generalization based on Magnus expansion for evolution operator of non-stationary Schroedinger equation is proposed for increasing the time approximation accuracy. The stability of received schemes is shown. Comparison between numerical and analytical solutions of the model problem (variable frequency oscillator) has been done for scheme O (τ4) to demonstrate the accuracy, efficiency and adequate convergence of the scheme. (author)

Availability note (English)

Available from INIS in electronic form

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Additional details

Additional titles

Original title (Russian)
Численное решение нестационарного уравнения Шредингера с повышенной точностью

Publishing Information

Imprint Pagination
14 p.
Report number
JINR-R--11-98-44

INIS

Country of Publication
Joint Institute for Nuclear Research (JINR)
Country of Input or Organization
Joint Institute for Nuclear Research (JINR)
INIS RN
29062955
Subject category
S99: GENERAL AND MISCELLANEOUS;
Descriptors DEI
ACCURACY; ANALYTICAL SOLUTION; CAUCHY PROBLEM; HERMITIAN OPERATORS; NUMERICAL SOLUTION; ONE-DIMENSIONAL CALCULATIONS; SCHROEDINGER EQUATION; TIME DEPENDENCE
Descriptors DEC
BOUNDARY-VALUE PROBLEMS; DIFFERENTIAL EQUATIONS; EQUATIONS; MATHEMATICAL OPERATORS; PARTIAL DIFFERENTIAL EQUATIONS; WAVE EQUATIONS

Optional Information

Notes
10 refs., 3 figs., 1 tab. Submitted to Computer Physics Communications