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Plane Waves Propagating in Gases Composed of Composite Particles

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Abstract

The quantum discrete kinetic equations are solved to study the propagation of plane waves in a system of composite particles with hard-sphere interactions and the filling factor (ν) being 1/2. We compare the dispersion relations thus obtained by the relevant Pauli-blocking parameter B which describes the different-statistics particles for the quantum analog of the discrete Boltzmann system when B is positive (Bose gases), zero (Boltzmann gases), and negative (Fermi Gases). We found, as the effective magnetic field being zero (ν = 1/2 using the composite fermion formulation), the electric field effect will induce anomalous dispersion relations.

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References

  • Agop, M., Ioannou, P. D., Gh, C., and Buzea, P. (2003). Nica, Physica C 390, 37.

    ADS  Google Scholar 

  • Andrews, M. R., Stamper-Kurn, D. M., et al. (1998). Physical Review Letters 80, 2967.

    Article  ADS  Google Scholar 

  • Avancini, S. S. and Krein, G. (1995). Journal of Physics A: Mathematics and General 28, 685.

    ADS  MathSciNet  Google Scholar 

  • Braun, M. A. and Vechernin, V. V. (2004). Theoretical and Mathematical Physics 139, 766.

    Article  MathSciNet  Google Scholar 

  • Burkard, G., Loss, D., and DiVincenzo, D. P. (1999). Phys. Rev. B 59, 2070; Hu, X. and Das Sarma, S. (2000). Physical Review A 61, 062301.

  • Butler, W. H., Zhang, X. -G., and MacLaren, J. M. (2000). J. Superconductivity: Incorporating Novel Magnetism 13, 221; Noce, C. and Cuoco, M. (2000). Physica B 284–288, 1972.

  • Caldwell, R. R. (2002). Phys. Lett. B 545, 23.

    ADS  Google Scholar 

  • Chu, A. K.-H. (1999a). J. Phys. : Cond. Matter 11, 8819; Chu, A. K.-H. (1999b). European Physics Journal B 10, 1.

  • Chu, A. K.-H. (2002a). Physical Review E 66, 047106; Chu, A. K.-H. (2003). Preprint.

  • Chu, A. K.-H. (2004a). Physica Scripta 69, 170.

    Article  ADS  Google Scholar 

  • Chu, A. K.-H. (2004b). Preprint.

  • Dorozhkin, S. I., Smet, J. H., von Klitzing, K., Umansky, V., Wegscheider, W., Haug, R. J., and Ploog, K. (2002). Physica E 12, 97.

    Article  ADS  Google Scholar 

  • Fradkin, E., Nayak, C., Tsvelik, A., and Wilczek, F. (1998). Nuclear Physics B [FS] 516, 704.

  • Ichinose, I. and Matsui, T. (2003). Physica E 18, 132.

    ADS  Google Scholar 

  • Grad, H. (1966). SIAM Journal of Applied Mathematics 14, 932.

    Article  MathSciNet  Google Scholar 

  • Ghirardi, G. C. and Marinatto, L. (2004). Fortschritte der Physik 52, 1045.

    Article  MathSciNet  Google Scholar 

  • Jain, J. K. (2000). Physics Today 50, 39.

    Google Scholar 

  • Jobst, S., Zwerschkeb, S., Smet, J. H., Gerhardts, R. R., Weiss, D., von Klitzing, K., and Umansky, V. (2000). Physica E 6, 87.

    Article  ADS  Google Scholar 

  • Harju, A. Siljamäki, S., and Nieminen, R. M. (2002). Physics Review Letters 88, 226804.

    Article  ADS  Google Scholar 

  • Heinonen, O. (ed). (1998). Composite Fermions: A Unified View of the Quantum Hall Regime, World Scientific, Singapore (Contains the following review articles: Jain, J. K., and Kamilla, R. K., pp. 1; Simon, S. H., pp. 91; A. Lopez and E. Fradkin, pp. 195; G. Murthy and R. Shankar, pp. 254; G. Kirczenow and Johnson, B. L., pp. 307; Willet, R. L., pp. 349; Smet, J. H., pp. 443.)

  • Kneser, H. O. (1961). In Handbuch der Physik, S. Flügge, ed., Bd. XI/1, Springer, Berlin, p. 129.

  • Kuze, M. and Sirois, Y. (2003). Progress in Particle and Nuclear Physics 50, l.

  • Lee, T. D., Huang, K., and Yang, C. N. (1957). Phys. Rev. 106, 1135; Lee, T. D. and Yang, C. N. (1957). Physical Review 105, 1119.

  • Platkowski, T. and Illner, R. (1988). SIAM Rev. 30, 213; Bellomo, N. and Gustafsson, T. (1991). Review of Mathematical Physics 3, 137.

  • Schrieffer, J. R. (2004). Current Applied Physics 4, 465.

    Article  Google Scholar 

  • Stamper-Kurn, D. M., Miesner, H. -J., et al. (1998). Physical Review Letters 81, 500.

    ADS  Google Scholar 

  • Ustinov, V. V. and Kravtsov, E. A. (1995). Journal of Physics: Condensed Matter 7, 3471.

    Article  ADS  Google Scholar 

  • Vedenyapin, V. V., Mingalev, I. V., and Mingalev, O. V. (1995). Russian Academy of Sciences Sbornik Mathematics 80, 271; Uehling, E. A. and Uhlenbeck, G. E. (1933). Physical Review 43, 552.

    Google Scholar 

  • Willett, R. L. and Pfeiffer, L. N. (1996). Physica B 219–220, 1.

  • Willett, R. L., Pfeiffer, L. N., and West, K. W. (1998). Physica B 256–258, 215.

    Google Scholar 

  • Yabu, H., Takayama, Y., Suzuki, T., and Schuck, P. (2004). Nuclear Physics A 738, 273.

    Article  ADS  Google Scholar 

  • Zimbovskaya, N. A. (2003). Solid State Communications 128, 19.

    Article  Google Scholar 

  • Zwerschke, S. D. M. and Gerhardts, R. R. (1998). Physica B 256-258, 28.

    Article  ADS  Google Scholar 

  • Zwerschke, S. D. M. and Gerhardts, R. R. (2001). Physica B 298, 353.

    Article  ADS  Google Scholar 

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Authors and Affiliations

  1. Transfer Section (Tou-Di-Ban), Road XiHong, Urumqi, PR China, P. O. Box 39, 830000

    A. Kwang-Hua Chu

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  1. A. Kwang-Hua Chu
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Correspondence to A. Kwang-Hua Chu.

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Chu, A.KH. Plane Waves Propagating in Gases Composed of Composite Particles. Int J Theor Phys 44, 1429–1439 (2005). https://doi.org/10.1007/s10773-005-4777-8

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  • DOI: https://doi.org/10.1007/s10773-005-4777-8

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