AN EMBEDDED RUNGE–KUTTA METHOD WITH PHASE-LAG OF ORDER INFINITY FOR THE NUMERICAL SOLUTION OF THE SCHRÖDINGER EQUATION

T. E. Simos ()
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T. E. Simos: Section of Mathematics, Department of Civil Engineering, School of Engineering, Democritus University of Thrace, GR-671 00 Xanthi, Greece

International Journal of Modern Physics C (IJMPC), 2000, vol. 11, issue 06, 1115-1133

Abstract: An embedded Runge–Kutta method with phase-lag of order infinity for the numerical integration of Schrödinger equation is developed in this paper. The methods of the embedded scheme have algebraic orders five and four. Theoretical and numerical results obtained for radial Schrödinger equation and for coupled differential equations show the efficiency of the new methods.

Keywords: Runge–Kutta Methods; Schrödinger Equation; Phase-Lag; Phase Fitted; Bound-States Problem; Resonance Problem (search for similar items in EconPapers)
Date: 2000
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DOI: 10.1142/S0129183100000973

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