On Solving the Quantum Oscillator Equation by Using the Differential Transformation

Authors

  • Jaipong Kasemsuwan Department of Mathematics, Faculty of Science, King Mongkut’s Institute of Technology Ladkrabang, Thailand
  • Jutarat Pimsud Department of Mathematics, Faculty of Science, King Mongkut’s Institute of Technology Ladkrabang, Thailand
  • Kanokvon Panchuay Department of Mathematics, Faculty of Science, King Mongkut’s Institute of Technology Ladkrabang, Thailand
  • Kamonthip Ongartyuthanakorn Department of Mathematics, Faculty of Science, King Mongkut’s Institute of Technology Ladkrabang, Thailand

Keywords:

Differential Transformation Method, Eigenvalue Problem, Quantum Oscillator Equation

Abstract

In this paper, we present a simple yet accurate semi-analytical solution of the quantum oscillator equation, which is an eigenvalue problem, by using the differential transformation method (DTM). The quantum oscillator equation is studied under various boundary conditions via differential associated coefficients. Eigenfunctions and eigenvalues are calculated semi-analytically and shown graphically. They are verified and shown to be accurate.

References

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Published

2024-04-25

Issue

Vol. 23 No. 1 (2024): Vol 23 No 1 [2024]

Section

Research Articles

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