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Journal of Mathematical Physics / Volume 53 / Issue 2 / ARTICLES / Quantum Mechanics (General and Nonrelativistic)

J. Math. Phys. 53, 022102 (2012); http://dx.doi.org/10.1063/1.3684747 (8 pages)

Delay time in quaternionic quantum mechanics

Stefano De Leo1 and Gisele Ducati2

1Department of Applied Mathematics, State University of Campinas, Brazil
2CMCC, Universidade Federal do ABC, Brazil

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(Received 20 July 2011; accepted 20 January 2012; published online 13 February 2012)

In looking for quaternionic violations of quantum mechanics, we discuss the delay time for pure quaternionic potentials. Our study shows the energy region which amplifies the difference between quaternionic and complex quantum mechanics.

© 2012 American Institute of Physics

Article Outline

  1. INTRODUCTION
  2. ONE-DIMENSIONAL POTENTIALS AND ONE-DIMENSIONAL MOTION
  3. TOTAL REFLECTION: PHASE CALCULATION
  4. TOTAL REFLECTION: DELAY TIME CALCULATION
  5. CONCLUSIONS

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KEYWORDS and PACS

Keywords

delays, quantum theory

PACS

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1063/1.3684747

PUBLICATION DATA

ISSN

0022-2488 (print)  
1089-7658 (online)

Publisher

$abstract.society.value is a Member of CrossRef American Institute of Physics

For access to fully linked references, you need to log in.
    A. J. Davies and B. H. McKellar, Phys. Rev. A 40, 4209 (1989).

    A. J. Davies and B. H. McKellar, Phys. Rev. A 46, 3671 (1992).

    S. De Leo and G. Ducati, J. Math. Phys. 42, 2236 (2001)JMAPAQ000042000005002236000001.

    S. De Leo and G. Ducati, J. Math. Phys. 44, 2224 (2003)JMAPAQ000044000005002224000001.

    S. De Leo and G. Ducati, J. Math. Phys. 47, 082106 (2006)JMAPAQ000047000008082106000001.

    S. De Leo, G. Ducati, V. Leonardi, and K. Pereira, J. Math. Phys. 51, 113504 (2010)JMAPAQ000051000011113504000001.

    S. De Leo and G. C. Ducati, J. Math. Phys. 47, 102104 (2006)JMAPAQ000047000010102104000001.

    S. De Leo and G. C. Ducati, J. Math. Phys. 48, 052111 (2007)JMAPAQ000048000005052111000001.


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