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Exact Dynamics of Moments and Correlation Functions for GKSL Fermionic Equations of Poisson Type

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References

  1. A. E. Teretenkov, Math. Notes 107 (4), 695 (2020).

    Article  MathSciNet  Google Scholar 

  2. N. L. Gullo, I. Sinayskiy, T. Busch and F. Petruccione, Non-Markovianity Criteria for Open System Dynamics, arXiv: 1401.1126 (2014).

    Google Scholar 

  3. V. Gorini, A. Kossakowski, and E. C. D. Sudarshan, J. Math. Phys. 17 (5), 821 (1976).

    Article  Google Scholar 

  4. G. Lindblad, Comm. Math. Phys. 48 (2), 119 (1976).

    Article  MathSciNet  Google Scholar 

  5. B. Kümmerer and H. Maassen, Comm. Math. Phys. 109 (1), 1 (1987).

    Article  MathSciNet  Google Scholar 

  6. A. S. Holevo, J. Math. Phys. 37 (4), 1812 (1996).

    Article  MathSciNet  Google Scholar 

  7. A. S. Holevo, in Irreversibility and Causality Semigroups and Rigged Hilbert Spaces (Springer- Verlag, Berlin, 1998), pp. 67–81.

    Article  Google Scholar 

  8. L. Accardi, A. N. Pechen, and I. V. Volovich, J. Phys. A 35 (23), 4889 (2002).

    Article  MathSciNet  Google Scholar 

  9. B. Vacchini and K. Hornberger, Phys. Rep. 478 (4-6), 71 (2009).

    Article  MathSciNet  Google Scholar 

  10. A. M. Basharov, Optika Spektrosk. 116 (4), 532 (2014).

    Google Scholar 

  11. A. I. Trubilko and A. M. Basharov, Zhur. Éksper. Teor. Fiz. 153 (5), 726 (2018).

    Article  Google Scholar 

  12. K. O. Friedrichs, Comm. Pure Appl. Math. 6 (1), 1 (1953).

    Article  MathSciNet  Google Scholar 

  13. F. A. Berezin, The Method of Second Quantization (Nauka, Moscow, 1986) [in Russian].

    MATH  Google Scholar 

  14. V. V. Dodonov and V. I. Man’ko, in Invariants and Evolution of Nonstationary Quantum Systems, Trudy FIAN (FIAN, Moscow, 1987), Vol. 183, pp. 145–193 [in Russian].

    Google Scholar 

  15. I. A. Malkin and V. I. Man’ko, Dynamical Symmetries and Coherent States of Quantum Systems (Nauka, Moscow, 1979) [in Russian].

    Google Scholar 

  16. V. V. Dodonov, J. Opt. B Quantum Semiclass. Opt. 4 (1), R1 (2002).

    Article  Google Scholar 

  17. V. V. Dodonov and V. I. Man’ko, Theory of Nonclassical States of Light (Taylor and Francis, London, 2003).

    Book  Google Scholar 

  18. A. M. Chebotarev, T. V. Tlyachev, and A. A. Radionov, Math. Notes 89 (4), 577 (2011).

    Article  MathSciNet  Google Scholar 

  19. A. M. Chebotarev, T. V. Tlyachev, and A. A. Radionov, Math. Notes 92 (5), 700 (2012).

    Article  MathSciNet  Google Scholar 

  20. A. E. Teretenkov, Math. Notes 100 (4), 642 (2016).

    Article  MathSciNet  Google Scholar 

  21. A. E. Teretenkov, Math. Notes 101 (2), 341 (2017).

    Article  MathSciNet  Google Scholar 

  22. A. E. Teretenkov, Math. Notes 102 (6), 846 (2017).

    Article  MathSciNet  Google Scholar 

  23. A. E. Teretenkov, Math. Notes 106 (1), 151 (2019).

    Article  MathSciNet  Google Scholar 

  24. A. E. Teretenkov, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 22 (No. 4, 1930001) (2019).

    MathSciNet  Google Scholar 

  25. L. A. Takhtadzhyan, Quantum Mechanics for Mathematicians (RKhD, Moscow–Izhevsk, 2011) [in Russian].

    Google Scholar 

  26. A. S. Trushechkin, Lobachevskii J. Math. 40 (10), 1606 (2019).

    Article  MathSciNet  Google Scholar 

  27. A. Trushechkin, J. Chem. Phys. 151 (7) (2019).

    Article  Google Scholar 

  28. I. A. Luchnikov, S. V. Vintskevich, H. Ouerdane, and S. N. Filippov, Phys. Rev. Lett. 122 (16, 160401) (2019).

    Google Scholar 

  29. A. E. Teretenkov, Lobachevskii J. Math. 40 (10), 1587 (2019).

    Article  MathSciNet  Google Scholar 

  30. A. E. Teretenkov, Proc. Steklov Inst. Math. 306, 242 (2019).

    Article  MathSciNet  Google Scholar 

  31. M. B. Plenio, J. Almeida, and S. F. Huelga, J. Chem. Phys. 139 (23, 235102) (2013).

    Google Scholar 

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Correspondence to Iu. A. Nosal’.

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Nosal’, I.A., Teretenkov, A.E. Exact Dynamics of Moments and Correlation Functions for GKSL Fermionic Equations of Poisson Type. Math Notes 108, 911–915 (2020). https://doi.org/10.1134/S0001434620110358

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  • DOI: https://doi.org/10.1134/S0001434620110358

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