Skip to main content

A MAPLE Symbolic-Numeric Program for Solving the 2D-Eigenvalue Problem by a Self-consistent Basis Method

  • Conference paper
Computer Algebra in Scientific Computing (CASC 2005)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3718))

Included in the following conference series:

  • 848 Accesses

Abstract

The symbolic-numeric program SELFA for solving the the 2D boundary-value problem in self-consistent basis method is presented. The corresponding algorithm of this program using a conventional pseudocode is described too. As example, the energy spectrum and wave functions of E-type for generalized Henon–Heiles Hamiltonian were obtained.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Wilkinson, J.H., Reinsch, C.: Handbook for Automatic Computation. Linear Algebra, vol. 2. Springer, New York (1971)

    MATH  Google Scholar 

  2. Gutzwiller, M.C.: Chaos in Classical and Quantum Mechanics. Springer, New York (1990)

    MATH  Google Scholar 

  3. Bolotin, Y.L., Gonchar, V.Y., Tarasov, V.N., Chekanov, N.A.: Phys. Lett. A 135, 29 (1989)

    Google Scholar 

  4. Vinitsky, S.I., Pak, D.N., Rostovtsev, V.A., Chekanov, N.A., Ukolov, Y.A.: In the collection of theses of reports of 54th International Meeting on Nuclear Spectroscopy. Belgorod, 321 (June 22–25, 2004)

    Google Scholar 

  5. Bolotin, Y.L., Vinitsky, S.I., Gonchar, V.Y., et al.: JINR preprint, P4-89-590, Dubna, p. 26 (1989)

    Google Scholar 

  6. Gusev, A.A., Chekanov, N.A., Rostovtsev, V.A., Uwano, Y., Vinitsky, S.I.: Computer Algebra in Scientific Computing. In: Ganzha, V.G., Mayr, E.W., Vorozhtsov, E.V. (eds.) Computer Algebra in Scientific Computing, vol. 147. Technische Universitat, Munchen (2002)

    Google Scholar 

  7. Ukolov, Y.A., Chekanov, N.A., Gusev, A.A., Rostovtsev, V.A., Vinitsky, S.I., Uwano, Y.: Computer Physics Communications  166, 66 (2005)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2005 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Belyaeva, I.N. et al. (2005). A MAPLE Symbolic-Numeric Program for Solving the 2D-Eigenvalue Problem by a Self-consistent Basis Method. In: Ganzha, V.G., Mayr, E.W., Vorozhtsov, E.V. (eds) Computer Algebra in Scientific Computing. CASC 2005. Lecture Notes in Computer Science, vol 3718. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11555964_3

Download citation

  • DOI: https://doi.org/10.1007/11555964_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-28966-1

  • Online ISBN: 978-3-540-32070-8

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics