Preview

Fine Chemical Technologies

Advanced search

Generalized quantum hydrodynamics

Full Text:

Abstract

This paper addresses the fundamental principles of generalized Boltzmann physical kinetics, as a part of non-local physics. It is shown that the theory of transport processes (including quantum mechanics) can be considered in the frame of unified theory based on the non-local physical description. The paper can be considered also as comments and prolongation of the materials published in the known author’s monograph (Boris V. Alexeev, Generalized Boltzmann Physical Kinetics. Elsevier. 2004).

About the Author

B. V. Alexeev

Russian Federation


References

1. Boltzmann, L. “Weitere Studien über das Wärmegleichgewicht unter Gasmolekulen” / L. Boltzmann // Sitz. Ber. Kaiserl. Akad. Wiss. – 1872. – B. 66, № 2. – S. 275.

2. Boltzmann, L. Vorlesungen über Gastheorie / L. Boltzmann. – Leipzig : Verlag von Johann Barth, 1912. – 554 s.

3. Chapman, S. The Mathematical Theory of Non-uniform Gases / S. Chapman, T. G. Cowling. – Cambridge : At the University Press, 1952. – 510 p.

4. Hirschfelder, I. O. Molecular Theory of Gases and Liquids / I. O. Hirschfelder, Ch. F. Curtiss, R. B. Bird. – New York : John Wiley and sons, inc., London : Chapman and Hall, lim.,. 1954. – 929 p.

5. Алексеев, Б. В. Математическая кинетика реагирующих газов / Б. В. Алексеев. – М .: Наука, 1982. – 420 с.

6. Alekseev, B. V. The Generalized Boltzmann Equation, Generalized Hydrodynamic Equations and their Applications / B. V. Alekseev // Phil. Trans. Roy. Soc. Lond. – 1994. – Vol. 349. – P. 417.

7. Alekseev, B. V. The generalized Bolt exquation / B. V. Alekseev // Physica A. – 1995. – Vol. 216. – P. 459.

8. Alekseev, B. V. Physical principles of the generalized Boltzmann kinetic theory of gases / B. V. Alekseev // Physics-Uspekhi. – 2000. – Vol. 43, № 6. – P. 601.

9. Alekseev, B. V. Physical fundamentals of the generalized Boltzmann kinetic theory of ionized gases / B. V. Alekseev // Physics-Uspekhi. – 2003. – Vol. 46, № 2. – Р. 139.

10. Alekseev, B. V. Generalized Boltzmann Physical Kinetics / B. V. Alekseev. – L. : Elsevier, 2004. – 368 p.

11. Klimontovich, Yu. L. About Necessity and Possibility of Unified Description of Hydrodynamic Processes / Yu. L. Klimontovich // Theoretical and Math. Physics. – 1992. – Vol. 92, № 2. – Р. 312.

12. Bell, J. S. On the Einstein Podolsky Rosen paradox / J. S. Bell // Physics. – 1964. – Vol. 1. – P. 195.

13. Гриб, А. А. Неравенства Белла и экспериментальная проверка квантовых корреляций на макроскопических расстояниях / А. А. Гриб // Уcпехи физ. наук. – 1984. – T. 142. – C. 619.

14. Rodimov, B. N. Auto-oscillating quantum mechanics / B. N. Rodimov. – Tomsk : The University Press, 1976. – 408 p.

15. Alekseev, B. V. Mathematical modeling of elastic interactions of fast electrons with atoms and molecules / B. V. Alekseev, A. I. Abakumov, V. S. Vinogradov // Communications on the applied mathematics. Computer Centre of the USSR Academy of sciences. Moscow, USSA, 1986. – M., 1986. – 68 p.

16. Alekseev, B. V. Generalized quantum hydrodynamics and principles of non-local physics / B. V. Alekseev // ArXiv. – 1 Sep. 2007. – 0709.0033.

17. Carnovalli Jr, E. On the connection between the Liouville equation and the Schroedinger equation / E. Carnovalli Jr, H. M. Franca // Arxiv. – 2006. – Vol. 217. – quant-ph/0512049.


For citation:


Alexeev B.V. Generalized quantum hydrodynamics. Fine Chemical Technologies. 2008;3(3):3-19. (In Russ.)

Views: 57


Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 License.


ISSN 2410-6593 (Print)
ISSN 2686-7575 (Online)