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Numerical Solutions Of Quantum Mechanical Problems Using The Basis-Spline Collocation Method

Author

Listed:
  • 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)

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.

Suggested Citation

  • D. O. Odero & J. L. Peacher & D. H. Madison, 2001. "Numerical Solutions Of Quantum Mechanical Problems Using The Basis-Spline Collocation Method," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 12(07), pages 1093-1108.
    • Handle: RePEc:wsi:ijmpcx:v:12:y:2001:i:07:n:s0129183101002358
    DOI: 10.1142/S0129183101002358
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