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The Physical Interpretation of PT-invariant Potentials

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Czechoslovak Journal of Physics Aims and scope

Abstract

A purely imaginary potential can provide a phenomenological description of creation and absorption of quantum mechanical particles. PT invariance of such a potential ensures that the non-unitary phenomena occur in a balanced manner. In spite of wells and sinks which locally violate the conservation of quantum probability, there is no net get loss or gain of particles. This, in turn, is intuitively consistent with real energy eigenvalues.

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References

  1. C. M. Bender and S. Boettcher:Phys. Rev. Lett. 24 (1998)5243.

    Google Scholar 

  2. A. Mostafazadeh:J. Phys. A 36 (2003)7081.

    Google Scholar 

  3. Czech. J. Phys. 54 (2004),No. 1,pp. 1–156.

  4. B. Bagchi, S. Mallik,and C. Quesne:Int. J. Mod. Phys. A 17 (2002)51. G. Levai,F. Cannata,and A. Ventura:J. Phys. A 34 (2001)839. E. Caliceti and S. Gra.:math-ph/0401039. Z. Ahmed and S. R. Jain:quant-ph/0209165. C. M. Bender,D. C. Brody,and H. F. Jones:hep-th/0402183. H. F. Jones:Phys. Lett. A 262 (1999)242. Z. Ahmed:quant-ph/0312151.

    Google Scholar 

  5. K. Gottfried:Quantum Mechanics. Addison-Wesley,New York,1989. A. Das and A. C. Melissinos:Quantum Mechanics:A Modern Introduction. Gordon and Breach,New York,1986.

  6. M. Born and E. Wolf:Principle of Optics. Pergamon, Oxford,1953. H. Feshbach,C. E. Porter,and V. F. Weisskopf:Phys. Rev. 96 (1954)448. K. L. Baluja and A. Jain:Phys. Rev. A 46 (1992)1279. A. Jain and K. L. Baluja:45 (1992)202;7838.

    Google Scholar 

  7. F. Kleefeld:hep-ph/0211460;hep-ph/0310320.

  8. G. Baym:Lectures on Quantum Mechanics. Benjamin/Cumming, Menlo Park,1973.

    Google Scholar 

  9. P. Molin`as-Mata and P. Molin`as-Mata:Phys. Rev. A 54 (1996)2060.

    Google Scholar 

  10. M. Znojil:J. Phys. A 36 (2003)7639. R. N. Deb,A. Khare,and B. D. Roy:Phys. Lett. A 301 (2003)215.

    Google Scholar 

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  1. Hull Mathematical Physics, Department of Mathematics, University of Hull, Hull, HU6 7RX, UK

    Stefan Weigert

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  1. Stefan Weigert
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Weigert, S. The Physical Interpretation of PT-invariant Potentials. Czechoslovak Journal of Physics 54, 1139–1142 (2004). https://doi.org/10.1023/B:CJOP.0000044016.95629.a7

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  • DOI: https://doi.org/10.1023/B:CJOP.0000044016.95629.a7

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