Abstract
In this article we derive the wave functions of a non-relativistic 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.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Wolfram, S.: Mathematica, V10.01, a computational software program to do scientific computation. Wolfram Research (2014)
Davydov, A.S.: Quantum Mechanics. NEO Press (1966)
Flugge, S.: Practical Quantum Mechanics. Springer-Verlag (1974)
Gol’dman, I.I., Krivchenkov, V.D.: Problems in Quantum Mechanics. Dover Publications, Inc., New York (1993)
Kogan, V.I., Galitskiy, V.M.: Problems in Quantum Mechanics. Dover Publications, Inc. (2011)
Thaller, B.: Visual Quantum Mechanics, V1. Springer-Verlag New York, Inc. (2000)
Shiff, L.: Quantum Mechanics, 3rd edn. McGraw-Hill, New York (1968)
Powell, J., Crasmann, B.: Quantum Mechanics. Addison-Wesley Publishing Company, Inc., Reading (1965)
Abramowitz, M., Stegun, I.: Handbook of Mathematical Functions, 9th edn. Dover Publications, Inc., New York (1970)
Wang, Z.X., Guo, D.R.: Special Functions. World Scientific, Singapore (1989)
Tenenbaum, M., Pollard, H.: Ordinary Differential Equations, p. 620. Dover Publications, Inc., New York (1963)
Brink, D.M., Satchler, G.R.: Angular Momentum, 2nd edn. Oxford University Press (1967)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer International Publishing Switzerland
About this paper
Cite this paper
Sarafian, H. (2015). States of a Non-relativistic Quantum Particle in a Spherical Hollow Box. In: Gervasi, O., et al. Computational Science and Its Applications -- ICCSA 2015. ICCSA 2015. Lecture Notes in Computer Science(), vol 9158. Springer, Cham. https://doi.org/10.1007/978-3-319-21410-8_13
Download citation
DOI: https://doi.org/10.1007/978-3-319-21410-8_13
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-21409-2
Online ISBN: 978-3-319-21410-8
eBook Packages: Computer ScienceComputer Science (R0)