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Discrete Transforms in Quantum Chaos

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Bulletin of the Russian Academy of Sciences: Physics Aims and scope

Abstract

It is shown that when the Liouville–Arnold theorem is applied to quantum systems, the purely quantum first integrals of motion of the parity type should not be considered when comparing the number of the first integrals to that of the degrees of freedom.

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REFERENCES

  1. Zaslavskii, G.M., Stohastichnost’ dinamicheskih system (Stochasticity of Dynamic Systems), Moscow: Nauka, 1984.

  2. Bunakov, V.E., Phys. At. Nucl., 2016, vol. 79, p. 995.

    Article  Google Scholar 

  3. Bunakov, V.E., Bull. Russ. Acad. Sci.: Phys., 2020, vol. 84, p. 1187.

    Article  MathSciNet  Google Scholar 

  4. Bunakov, V.E., Joint Inst. Nucl. Res. Publ. no. E3-94-370, Dubna: Joint Inst. Nucl. Res., 1994, p. 310.

    Google Scholar 

  5. Bunakov, V.E., Valiev, F.F., and Tchuvilsky, Yu.M., Phys. Lett. A, 1998, vol. 243, p. 288.

    Article  ADS  Google Scholar 

  6. Bunakov, V.E., Phys. At. Nucl., 1999, vol. 62, p. 1.

    MathSciNet  Google Scholar 

  7. Bunakov, V.E. and Ivanov, I.B., J. Phys. A, 2002, vol. 35, p. 1907.

    Article  ADS  MathSciNet  Google Scholar 

  8. Zaslavskii, G.M. and Sagdeev R.Z., Vvedenie v nelineinuyu fiziku: ot mayatnika do turbulentnosti (An Introduction to Nonlinear Physics: From Pendulum to Turbulence), Moscow: Nauka, 1988.

  9. Sagdeev, R.Z., Usikov, D.A., and Zaslavsky, G.M., Nonlinear Physics: From the Pendulum to Turbulence and Chaos, New York: Harwood, 1988.

    Google Scholar 

  10. Henon, M. and Heiles, C., Astron. J., 1983, vol. 69, p. 73.

    Article  ADS  Google Scholar 

  11. Harada, A. and Hasegawa, J., J. Phys. A, 1983, vol. 16, L259.

    Article  ADS  Google Scholar 

  12. Hasegawa, J., Robnik, M., and Wunner, G., Progr. Theor. Phys. Suppl., 1989, vol. 98, p. 198.

    Article  ADS  Google Scholar 

  13. Kosztin, I. and Schulten, K., Int. J. Mod. Phys. C, 1997, vol. 8, p. 293.

    Article  ADS  Google Scholar 

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Correspondence to V. E. Bunakov.

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Translated by V. Vetrov

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Bunakov, V.E. Discrete Transforms in Quantum Chaos. Bull. Russ. Acad. Sci. Phys. 85, 538–540 (2021). https://doi.org/10.3103/S106287382105004X

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  • DOI: https://doi.org/10.3103/S106287382105004X

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