References
A. E. Teretenkov, Math. Notes 107 (4), 695 (2020).
N. L. Gullo, I. Sinayskiy, T. Busch and F. Petruccione, Non-Markovianity Criteria for Open System Dynamics, arXiv: 1401.1126 (2014).
V. Gorini, A. Kossakowski, and E. C. D. Sudarshan, J. Math. Phys. 17 (5), 821 (1976).
G. Lindblad, Comm. Math. Phys. 48 (2), 119 (1976).
B. Kümmerer and H. Maassen, Comm. Math. Phys. 109 (1), 1 (1987).
A. S. Holevo, J. Math. Phys. 37 (4), 1812 (1996).
A. S. Holevo, in Irreversibility and Causality Semigroups and Rigged Hilbert Spaces (Springer- Verlag, Berlin, 1998), pp. 67–81.
L. Accardi, A. N. Pechen, and I. V. Volovich, J. Phys. A 35 (23), 4889 (2002).
B. Vacchini and K. Hornberger, Phys. Rep. 478 (4-6), 71 (2009).
A. M. Basharov, Optika Spektrosk. 116 (4), 532 (2014).
A. I. Trubilko and A. M. Basharov, Zhur. Éksper. Teor. Fiz. 153 (5), 726 (2018).
K. O. Friedrichs, Comm. Pure Appl. Math. 6 (1), 1 (1953).
F. A. Berezin, The Method of Second Quantization (Nauka, Moscow, 1986) [in Russian].
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].
I. A. Malkin and V. I. Man’ko, Dynamical Symmetries and Coherent States of Quantum Systems (Nauka, Moscow, 1979) [in Russian].
V. V. Dodonov, J. Opt. B Quantum Semiclass. Opt. 4 (1), R1 (2002).
V. V. Dodonov and V. I. Man’ko, Theory of Nonclassical States of Light (Taylor and Francis, London, 2003).
A. M. Chebotarev, T. V. Tlyachev, and A. A. Radionov, Math. Notes 89 (4), 577 (2011).
A. M. Chebotarev, T. V. Tlyachev, and A. A. Radionov, Math. Notes 92 (5), 700 (2012).
A. E. Teretenkov, Math. Notes 100 (4), 642 (2016).
A. E. Teretenkov, Math. Notes 101 (2), 341 (2017).
A. E. Teretenkov, Math. Notes 102 (6), 846 (2017).
A. E. Teretenkov, Math. Notes 106 (1), 151 (2019).
A. E. Teretenkov, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 22 (No. 4, 1930001) (2019).
L. A. Takhtadzhyan, Quantum Mechanics for Mathematicians (RKhD, Moscow–Izhevsk, 2011) [in Russian].
A. S. Trushechkin, Lobachevskii J. Math. 40 (10), 1606 (2019).
A. Trushechkin, J. Chem. Phys. 151 (7) (2019).
I. A. Luchnikov, S. V. Vintskevich, H. Ouerdane, and S. N. Filippov, Phys. Rev. Lett. 122 (16, 160401) (2019).
A. E. Teretenkov, Lobachevskii J. Math. 40 (10), 1587 (2019).
A. E. Teretenkov, Proc. Steklov Inst. Math. 306, 242 (2019).
M. B. Plenio, J. Almeida, and S. F. Huelga, J. Chem. Phys. 139 (23, 235102) (2013).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
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
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0001434620110358