Skip to main content
SpringerLink
Log in

The mathematical apparatus of quantum mechanics as applied to investigation into biological systems

  • Elementary Particle Physics and Field Theory
  • Published:
Russian Physics Journal Aims and scope

Diffusion-Schrödinger quantum mechanics unusual as to its physics has been constructed by introducing a diffusion analog of the Planck constant and generalizing the diffusion equation. The mechanics can be widely used in quantum biology, biological electronics, synthetic biology, quantum geometrodynamics, and in other fields of science and technology.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. A. N. Kolmogorov, N. G. Petrovskii, and N. S. Piskunov, MSU Newsletter, Mathematics and Mechanics, 1, No. 6, 1–16 (1937).

    Google Scholar 

  2. R. A. Fisher, Annu. Eugenics, 7, 255–369 (1937).

    Google Scholar 

  3. A. V. Borisov, A. Yu. Trifonov, and A. V. Shapovalov, Russ. Phys. J., 54, No. 1, 32 (2011).

    Article  MATH  Google Scholar 

  4. V. A. Aleutdinova, A. V. Borisov, V. E. Shaparev, and A. V. Shapovalov, Russ. Phys. J., 54, No. 4, 479 (2011).

    Article  Google Scholar 

  5. A. Yu. Trifonov and A. V. Shapovalov, Russ. Phys. J., 52, No. 9, 899 (2009).

    Article  MathSciNet  MATH  Google Scholar 

  6. A. V. Borisov, R. O. Rezaev, A. Yu. Trifonov, and A. V. Shapovalov, Izv. Tomsk Polytekh. Univ., 315, No. 2, 24–28 (2009).

    Google Scholar 

  7. V. V. Lasukov, Russ. Phys. J., 55, No. 7, 729 (2012).

    Article  MATH  Google Scholar 

  8. A. Einstein, Collection of Scientific Papers, V. 3 [Russian translation], Nauka, Moscow, 1966.

  9. A. A. Sokolov and I. M. Ternov, Quantum Mechanics and Atomic Physics [in Russian], Prosveshchenie, Moscow, 1970.

    Google Scholar 

  10. V. V. Lasukov and A. R. Dybov, Russ. Phys. J., 54, No. 4, 443 (2011).

    Article  MATH  Google Scholar 

  11. V. E. Fortov, A. G. Khrapak, S. A. Khrapak, et al., Usp. Fiz. Nauk, 174, 495–544 (2004).

    Article  Google Scholar 

  12. V. V. Lasukov, Russ. Phys. J., 45, No. 5, 528 (2002).

    Article  MATH  Google Scholar 

  13. V. V. Lasukov, Russ. Phys. J., 46, No. 4, 407 (2003).

    Article  MathSciNet  Google Scholar 

  14. V. V. Lasukov, Russ. Phys. J., 46, No. 9, 903 (2003).

    Article  Google Scholar 

  15. V. V. Lasukov, Russ. Phys. J., 47, No. 1, 31 (2004).

    Article  MATH  Google Scholar 

  16. V. V. Lasukov, Russ. Phys. J., 47, No. 3, 286 (2004).

    Article  MathSciNet  Google Scholar 

  17. V. V. Lasukov, Russ. Phys. J., 47, No. 6, 638 (2004).

    Article  MATH  Google Scholar 

  18. V. V. Lasukov, Russ. Phys. J., 48, No. 1, 25 (2005).

    Article  MATH  Google Scholar 

  19. V. V. Lasukov, Russ. Phys. J., 49, No. 4, 352 (2006).

    Article  MathSciNet  MATH  Google Scholar 

  20. V. V. Lasukov, Russ. Phys. J., 50, No. 4, 326 (2007).

    Article  MathSciNet  MATH  Google Scholar 

  21. V. V. Lasukov, Russ. Phys. J., 50, No. 8, 839 (2007).

    Article  MATH  Google Scholar 

  22. V. V. Lasukov, Russ. Phys. J., 50, No. 9, 898 (2007).

    Article  MATH  Google Scholar 

  23. V. V. Lasukov, Russ. Phys. J., 51, No. 3, 321 (2008).

    Article  MathSciNet  MATH  Google Scholar 

  24. V. V. Lasukov, Russ. Phys. J., 51, No. 8, 815 (2008).

    Article  MathSciNet  MATH  Google Scholar 

  25. V. V. Lasukov, Russ. Phys. J., 52, No. 2, 176 (2009).

    Article  Google Scholar 

  26. V. V. Lasukov, Russ. Phys. J., 52, No. 1, 1 (2009).

    Article  MATH  Google Scholar 

  27. V. V. Lasukov, Russ. Phys. J., 52, No. 4, 337 (2009).

    Article  MathSciNet  MATH  Google Scholar 

  28. V. V. Lasukov, Russ. Phys. J., 52, No. 6, 568 (2009).

    Article  MATH  Google Scholar 

  29. V. V. Lasukov, Russ. Phys. J., 52, No. 9, 920 (2009).

    Article  MATH  Google Scholar 

  30. V. V. Lasukov, Russ. Phys. J., 52, No. 8, 816 (2009).

    Article  MATH  Google Scholar 

  31. V. V. Lasukov, Russ. Phys. J., 53, No. 3, 296 (2010).

    Article  MathSciNet  MATH  Google Scholar 

  32. V. V. Lasukov, Russ. Phys. J., 54, No. 1, 1 (2011).

    Article  Google Scholar 

  33. V. V. Lasukov, Russ. Phys. J., 54, No. 7, 801 (2011).

    Article  MathSciNet  Google Scholar 

  34. V. V. Lasukov, Russ. Phys. J., 54, No. 10, 1093 (2012).

    Article  MathSciNet  MATH  Google Scholar 

  35. V. V. Lasukov, Russ. Phys. J., 55, No. 1, 1 (2012).

    Article  MathSciNet  MATH  Google Scholar 

  36. V. V. Lasukov, Russ. Phys. J., 55, No. 2, 146 (2012).

    Article  MATH  Google Scholar 

  37. V. V. Lasukov, Russ. Phys. J., 55, No. 10, 1157 (2013).

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Physical-Technical Institute of the National Research Tomsk Polytechnic University, Tomsk, Russia

    V. V. Lasukov

  2. Tomsk State Pedagogical University, Tomsk, Russia

    T. V. Lasukova

Authors
  1. V. V. Lasukov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. T. V. Lasukova
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to T. V. Lasukova.

Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 3, pp. 49–54, March, 2013.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Lasukov, V.V., Lasukova, T.V. The mathematical apparatus of quantum mechanics as applied to investigation into biological systems. Russ Phys J 56, 291–297 (2013). https://doi.org/10.1007/s11182-013-0030-8

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11182-013-0030-8

Keywords

Search

Navigation