Jens Peder Dahl

Michael Springborg

Rundgren J.

Crossref

The Morse oscillator in position space, momentum space, and phase space

We present a unified description of the position-space wave functions, the momentum-space wave functions, and the phase-space Wigner functions for the bound states of a Morse oscillator. By comparing with the functions for the harmonic oscillator the effects of anharmonicity are visualized. Analytical expressions for the wave functions and the phase space functions are given, and it is demonstrated how a numerical problem arising from the summation of an alternating series in evaluating Laguerre functions can be circumvented. The method is applicable also for other problems where Laguerre functions are to be calculated. The wave and phase space functions are displayed in a series of curves and contour diagrams. An Appendix discusses the calculation of the modified Bessel functions of real, positive argument and complex order, which is required for calculating the phase space functions for the Morse oscillator. The Journal of Chemical Physics is copyrighted by The American Institute of Physics

Dahl, Jens Peder

Springborg, Michael

Online Research Database In Technology

                       General rights Copyright and moral rights for the publications made accessible in the public portal are retained by the authors and/or other copyright owners and it is a condition of accessing publications that users recognise and abide by the legal requirements associated with these rights.  • Users may download and print one copy of any publication from the public portal for the purpose of private study or research. • You may not further distribute the material or use it for any profit-making activity or commercial gain • You may freely distribute the URL identifying the publication in the public portal   If you believe that this document breaches copyright please contact us providing details, and we will remove access to the work immediately and investigate your claim.     Downloaded from orbit.dtu.dk on: Dec 17, 2017The Morse oscillator in position space, momentum space, and phase spaceDahl, Jens Peder; Springborg, MichaelPublished in:Journal of Chemical PhysicsLink to article, DOI:10.1063/1.453761Publication date:1988Document VersionPublisher's PDF, also known as Version of recordLink back to DTU OrbitCitation (APA):Dahl, J. P., & Springborg, M. (1988). The Morse oscillator in position space, momentum space, and phasespace. Journal of Chemical Physics, 88(7), 4535-4547. DOI: 10.1063/1.453761Downloaded 05 Oct 2009 to 192.38.67.112. Redistribution subject to AIP license or copyright; see http://jcp.aip.org/jcp/copyright.jspDownloaded 05 Oct 2009 to 192.38.67.112. Redistribution subject to AIP license or copyright; see http://jcp.aip.org/jcp/copyright.jspDownloaded 05 Oct 2009 to 192.38.67.112. Redistribution subject to AIP license or copyright; see http://jcp.aip.org/jcp/copyright.jspDownloaded 05 Oct 2009 to 192.38.67.112. Redistribution subject to AIP license or copyright; see http://jcp.aip.org/jcp/copyright.jspDownloaded 05 Oct 2009 to 192.38.67.112. Redistribution subject to AIP license or copyright; see http://jcp.aip.org/jcp/copyright.jspDownloaded 05 Oct 2009 to 192.38.67.112. Redistribution subject to AIP license or copyright; see http://jcp.aip.org/jcp/copyright.jspDownloaded 05 Oct 2009 to 192.38.67.112. Redistribution subject to AIP license or copyright; see http://jcp.aip.org/jcp/copyright.jspDownloaded 05 Oct 2009 to 192.38.67.112. Redistribution subject to AIP license or copyright; see http://jcp.aip.org/jcp/copyright.jspDownloaded 05 Oct 2009 to 192.38.67.112. Redistribution subject to AIP license or copyright; see http://jcp.aip.org/jcp/copyright.jspDownloaded 05 Oct 2009 to 192.38.67.112. Redistribution subject to AIP license or copyright; see http://jcp.aip.org/jcp/copyright.jspDownloaded 05 Oct 2009 to 192.38.67.112. Redistribution subject to AIP license or copyright; see http://jcp.aip.org/jcp/copyright.jspDownloaded 05 Oct 2009 to 192.38.67.112. Redistribution subject to AIP license or copyright; see http://jcp.aip.org/jcp/copyright.jspDownloaded 05 Oct 2009 to 192.38.67.112. Redistribution subject to AIP license or copyright; see http://jcp.aip.org/jcp/copyright.jsp

http://orbit.dtu.dk/ws/files/3620619/Dahl.pdf

The Morse oscillator in position space, momentum space, and phase space

Abstract

Similar works

Full text

Available Versions

Crossref

Online Research Database In Technology