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Conclusions and Outlook

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Semiclassical Approach to Mesoscopic Systems

Part of the book series: Springer Tracts in Modern Physics ((STMP,volume 245))

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Abstract

In this chapter we first summarise our results and afterwards present possible extensions: In general we studied mesoscopic systems with classically chaotic dynamics using semiclassical techniques. On the one hand we confirmed RMT results, on the other hand we considered corrections to the latter results mainly due to Ehrenfest-time effects.

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References

  1. Brouwer, P.W., Rahav, S.: Phys. Rev. B 74, 075322 (2006)

    Article  ADS  Google Scholar 

  2. Tian, C., Larkin, A.I.: Phys Rev. B 70, 035305 (2004)

    Article  ADS  Google Scholar 

  3. Brouwer, P.W., Rahav, S., Tian, C.: Phys. Rev. E 74, 066208 (2006)

    Article  ADS  Google Scholar 

  4. Brouwer, P.W., Rahav, S.: Phys. Rev. B 74, 085313 (2006)

    Article  ADS  Google Scholar 

  5. Whitney, R.S., Jacquod, P.: Phys. Rev. Lett. 96, 206804 (2006)

    Article  ADS  Google Scholar 

  6. Müller, S., Heusler, S., Braun, P., Haake, F., Altland, A.: Phys. Rev. E 72, 046207 (2005)

    Article  ADS  MathSciNet  Google Scholar 

  7. Müller, S.: Periodic-Orbit Approach to Universality in Quantum Chaos. Ph.D. thesis, Universität Duisburg Essen (2005)

    Google Scholar 

  8. Tanner, G.: J. Phys. A 33, 3567 (2000)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  9. Schanz, H., Smilansky, U.: Proceedings Australian Summer School on Quantum Chaos and Mesoscopics (1999)

    Google Scholar 

  10. Hannay, J., deAlmeida, A.O.: J. Phys. A 17, 3429 (1984)

    Article  ADS  MathSciNet  Google Scholar 

  11. Anderson, P.W.: Phys Rev. 109, 1492 (1958)

    Article  ADS  Google Scholar 

  12. Wurm, J., Rycerz, A., Adagideli, \(\dot{I.}\), Wimmer, M., Richter, K., Baranger, H.U.: Phys. Rev. Lett. 102, 056806 (2009)

    Google Scholar 

  13. Adagideli, \(\dot{\hbox{I.}}\): Phys. Rev. B 68, 233308 (2003)

    Google Scholar 

  14. Müller, S., Heusler, S., Braun, P., Haake, F., Altland, A.: Phys. Rev. Lett. 93, 014103 (2004)

    Article  ADS  Google Scholar 

  15. Heusler, S., Müller, S., Braun, P., Haake, F.: Phys. Rev. Lett. 96, 066804 (2006)

    Article  ADS  Google Scholar 

  16. Sieber, M.: J. Phys A 32, 7679 (1999)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  17. Dollinger, T.: Semiclassical Transport and Diffraction Effects in Circular Billiards, diploma thesis, Universität Regensburg, (2009)

    Google Scholar 

  18. Březinová, I., Stampfer, C., Wirtz, L., Rotter, S., Burgdörfer, J.: Phys. Rev. B 77, 165321 (2008)

    Article  ADS  Google Scholar 

  19. Richter, K.: Semiclassical Theory of Mesoscopic Quantum Systems, Springer Tracts in Modern Physics Vol. 161, Berlin (2000)

    Google Scholar 

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Correspondence to Daniel Waltner .

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Waltner, D. (2012). Conclusions and Outlook. In: Semiclassical Approach to Mesoscopic Systems. Springer Tracts in Modern Physics, vol 245. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-24528-2_6

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  • DOI: https://doi.org/10.1007/978-3-642-24528-2_6

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-24527-5

  • Online ISBN: 978-3-642-24528-2

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