States of a non-relativistic quantum particle in a spherical hollow box

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In this article we derive the wave functions of a nonrelativistic quantum particle confined in a spherical hollow box. Utilizing these states and deploying a Computer Algebra System CAS) such as Mathematica [1] we display the three dimensional radial wave functions. We compute the energy levels and the position expectation values.

Original languageEnglish (US)
Title of host publicationComputational Science and Its Applications - ICCSA 2015 - 15th International Conference, Proceedings
EditorsMarina L. Gavrilova, Osvaldo Gervasi, Beniamino Murgante, Sanjay Misra, Carmelo Torre, David Taniar, Bernady O. Apduhan, Ana Maria A.C. Rocha, Sanjay Misra
PublisherSpringer Verlag
Pages163-173
Number of pages11
ISBN (Print)9783319214092
DOIs
StatePublished - Jan 1 2015
Event15th International Conference on Computational Science and Its Applications, ICCSA 2015 - Banff, Canada
Duration: Jun 22 2015Jun 25 2015

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume9158
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Other

Other15th International Conference on Computational Science and Its Applications, ICCSA 2015
CountryCanada
CityBanff
Period6/22/156/25/15

Fingerprint

Wave functions
Wave Function
Computer algebra system
Mathematica
Energy Levels
Radial Functions
Electron energy levels
Algebra
Three-dimensional

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Computer Science(all)

Cite this

Sarafian, H. (2015). States of a non-relativistic quantum particle in a spherical hollow box. In M. L. Gavrilova, O. Gervasi, B. Murgante, S. Misra, C. Torre, D. Taniar, B. O. Apduhan, A. M. A. C. Rocha, ... S. Misra (Eds.), Computational Science and Its Applications - ICCSA 2015 - 15th International Conference, Proceedings (pp. 163-173). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 9158). Springer Verlag. https://doi.org/10.1007/978-3-319-21410-8_13
Sarafian, Haiduke. / States of a non-relativistic quantum particle in a spherical hollow box. Computational Science and Its Applications - ICCSA 2015 - 15th International Conference, Proceedings. editor / Marina L. Gavrilova ; Osvaldo Gervasi ; Beniamino Murgante ; Sanjay Misra ; Carmelo Torre ; David Taniar ; Bernady O. Apduhan ; Ana Maria A.C. Rocha ; Sanjay Misra. Springer Verlag, 2015. pp. 163-173 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).
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Sarafian, H 2015, States of a non-relativistic quantum particle in a spherical hollow box. in ML Gavrilova, O Gervasi, B Murgante, S Misra, C Torre, D Taniar, BO Apduhan, AMAC Rocha & S Misra (eds), Computational Science and Its Applications - ICCSA 2015 - 15th International Conference, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 9158, Springer Verlag, pp. 163-173, 15th International Conference on Computational Science and Its Applications, ICCSA 2015, Banff, Canada, 6/22/15. https://doi.org/10.1007/978-3-319-21410-8_13

States of a non-relativistic quantum particle in a spherical hollow box. / Sarafian, Haiduke.

Computational Science and Its Applications - ICCSA 2015 - 15th International Conference, Proceedings. ed. / Marina L. Gavrilova; Osvaldo Gervasi; Beniamino Murgante; Sanjay Misra; Carmelo Torre; David Taniar; Bernady O. Apduhan; Ana Maria A.C. Rocha; Sanjay Misra. Springer Verlag, 2015. p. 163-173 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 9158).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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Sarafian H. States of a non-relativistic quantum particle in a spherical hollow box. In Gavrilova ML, Gervasi O, Murgante B, Misra S, Torre C, Taniar D, Apduhan BO, Rocha AMAC, Misra S, editors, Computational Science and Its Applications - ICCSA 2015 - 15th International Conference, Proceedings. Springer Verlag. 2015. p. 163-173. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). https://doi.org/10.1007/978-3-319-21410-8_13