Quantum trajectories for resonant scattering
2000; Wiley; Volume: 81; Issue: 3 Linguagem: Inglês
10.1002/1097-461x(2001)81
ISSN1097-461X
Autores Tópico(s)Spectroscopy and Quantum Chemical Studies
ResumoInternational Journal of Quantum ChemistryVolume 81, Issue 3 p. 206-213 Theoretical and Computational Developments Quantum trajectories for resonant scattering Kyungsun Na, Kyungsun Na Institute for Theoretical Chemistry, Department of Chemistry and Biochemistry, The University of Texas at Austin, Austin, Texas 78712Search for more papers by this authorRobert E. Wyatt, Corresponding Author Robert E. Wyatt [email protected] Institute for Theoretical Chemistry, Department of Chemistry and Biochemistry, The University of Texas at Austin, Austin, Texas 78712Institute for Theoretical Chemistry, Department of Chemistry and Biochemistry, The University of Texas at Austin, Austin, Texas 78712Search for more papers by this author Kyungsun Na, Kyungsun Na Institute for Theoretical Chemistry, Department of Chemistry and Biochemistry, The University of Texas at Austin, Austin, Texas 78712Search for more papers by this authorRobert E. Wyatt, Corresponding Author Robert E. Wyatt [email protected] Institute for Theoretical Chemistry, Department of Chemistry and Biochemistry, The University of Texas at Austin, Austin, Texas 78712Institute for Theoretical Chemistry, Department of Chemistry and Biochemistry, The University of Texas at Austin, Austin, Texas 78712Search for more papers by this author First published: 21 December 2000 https://doi.org/10.1002/1097-461X(2001)81:3 3.0.CO;2-DCitations: 10Read the full textAboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onEmailFacebookTwitterLinkedInRedditWechat Abstract Time-dependent wave packet resonant scattering for the double square barrier has been studied in terms of Bohm quantum trajectories. The high transmission probability for the wave packet with a resonant energy can be explained by the behavior of the quantum trajectories under the influence of the relatively slow formation of a node within the first barrier. This node splits the trajectories into reflected and transmitted components. During this stage, many particle trajectories pass through the double-barrier region and contribute to the transmitted part of the wave packet. Due to the transient nature of the nodes, trajectories in the reflected wave packet bunch together between the nodes for a finite period of time so that temporary structure (localization of particles and accompanying increase in the probability density) develops on small length scales. These calculations also show that the particles gain high momentum near the nodal points, and they reach a uniform momentum distribution after transmitting the barrier region. We have found that the presence of a node between the two barriers influences the different lifetimes of the quasi-bound states. © 2001 John Wiley & Sons, Inc. Int J Quant Chem 81: 206–213, 2001 References 1 Schrödinger, E. Collected Papers on Wave Mechanics; Chelsea: New York, 1982. Google Scholar 2 Green, H. S. Matrix Mechanics; Nordhoff: Groningen, 1965. Google Scholar 3 Feynman, R. P.; Hibbs, A. R. Quantum Mechanics and Path Integrals; McGraw-Hill: New York, 1965. Google Scholar 4 Madelung, E. Z Physik 1926, 40, 322. 10.1007/BF01400372 Google Scholar 5 de Broglie, L. C R Acad Sci Paris 1926, 183, 447; 1927, 184, 273. Web of Science®Google Scholar 6 Bohm, D. Phys Rev 1952, 85, 166; 1952, 85, 180. 10.1103/PhysRev.85.166 CASWeb of Science®Google Scholar 7 Takabayasi, T. 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