NUMERICAL SOLUTIONS OF QUANTUM MECHANICAL PROBLEMS USING THE BASIS-SPLINE COLLOCATION METHOD

D. O. Odero (), J. L. Peacher and D. H. Madison
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D. O. Odero: 1440 Weinberg Building, The Johns Hopkins University, School of Medicine, Baltimore, MD 21231-2410, USA
J. L. Peacher: Department of Physics, University of Missouri-Rolla, Rolla MO 65409-0640, USA
D. H. Madison: Department of Physics, University of Missouri-Rolla, Rolla MO 65409-0640, USA

International Journal of Modern Physics C (IJMPC), 2001, vol. 12, issue 07, 1093-1108

Abstract: The time-dependent and time-independent Schrödinger equations have been numerically solved for several quantum mechanical problems with known analytical solutions using the basis-spline collocation algorithm. This algorithm has been demonstrated to be efficient and versatile. The results from these calculations illustrate the necessary numerical considerations required for solving both time-independent and time-dependent Schrödinger equations and form a basis that could be used for solving these and similar problems.

Keywords: Numerical Methods; Basis-Spline; Schrödinger Equation; Scattering Problems; Coupled Differential Equation (search for similar items in EconPapers)
Date: 2001
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DOI: 10.1142/S0129183101002358

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