Undergraduate Upper Division Quantum Mechanics: An Experiment in Maple® Immersion

  • Scot A. C. GouldEmail author
Conference paper
Part of the Communications in Computer and Information Science book series (CCIS, volume 1125)


Dirac-notation based upper division undergraduate quantum mechanics was taught in the Spring semester of 2019 using Maple to present the mathematics of the course and to solve all mathematical and computational problems. In addition to step-by-step presentations on using Maple, students were provided with numerous examples of solving quantum mechanical problems using Maple. Students were required to submit all homework and “take-home” exam solutions as PDF documents, primarily generated from a Maple worksheet. However, students were not required to solve all problems using Maple. Through external evaluation and student survey, it was determined that by the end of the semester, all students used Maple for solving over half the problems; nearly three-quarters of the students developed sophisticated Maple skill sets; and a third of the students used Maple to solve every type of problem – completing assignments in a single worksheet. Maple was most frequently used to solve problems involving single variable continuous functions, vectors and matrices. Maple was least frequently used to solve problems involving Dirac-notation based algebra. Maple was nearly universally appreciated by the students.


Maple Quantum mechanics Education 


  1. 1.
    Baggott, J.: The Meaning of Quantum Theory. Oxford University Press, Oxford (1992)Google Scholar
  2. 2.
    Dirac, P.A.M.: The Principles of Quantum Mechanics, 4th edn. Oxford University Press, Oxford (1981)Google Scholar
  3. 3.
    Feagin, J.M.: Quantum Methods with Mathematica. Springer, New York (1994)CrossRefGoogle Scholar
  4. 4.
    Griffiths, D., Schroeter, D.: Introduction to Quantum Mechanics, 3rd edn. Cambridge University Press, Cambridge (2018)CrossRefGoogle Scholar
  5. 5.
    Horbatsch, M.: Quantum Mechanics Using Maple®. Springer, Heidelberg (1995). Scholar
  6. 6.
    Maple™: Maplesoft, Waterloo, Ontario, Canada (2018)Google Scholar
  7. 7.
    MATLAB: Mathworks, Nantick, MA, USA (2018a)Google Scholar
  8. 8.
  9. 9.
    Steeb, W.-H., Hardy, Y.: Quantum Mechanics Using Computer Algebra, 2nd edn. World Scientific Publishing, Singapore (2010)CrossRefGoogle Scholar
  10. 10.
    Townsend, J.: A Modern Approach to Quantum Mechanics, 2nd edn. University Science Books, Sausalito (2012)Google Scholar
  11. 11.
    Wolfram, S.: Mathematica 12, Champaign, IL, USA (1999)Google Scholar
  12. 12.
    Zettili, N.: Quantum Mechanics, Concepts and Applications, 2nd edn. Wiley, West Sussex (2010)Google Scholar
  13. 13.
    Zettili, N., et al.: Private conversationsGoogle Scholar

Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.W.M. Keck Science DepartmentClaremont McKenna, Pitzer, ScrippsClaremontUSA

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