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Rotation of a Neutron in the Coat of Helium-5 as a Classical Particle for a Relatively Large Value of the Hidden Parameter tmeas

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Abstract

Rotation of a neutron in the coat of helium-5 as a classical particle for a relatively large value of the hidden parameter (measurement time) tmeas = h/Ems is considered. In consideration of the asymptotics as N → 0, equations for the mesoscopic energy Ems are given. A model for the helium nucleus is introduced and the values of the mesoscopic parameters Mms, and Ems for helium-4 are calculated.

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References

  1. V. P. Maslov, “A model of classical thermodynamics based on the partition theory of integers, Earth gravitation and semiclassical asymptotics. I,” Russian J. Math. Phys. 24 (3), 354–372 (2017).

    Article  MathSciNet  MATH  Google Scholar 

  2. V. P. Maslov, “A model of classical thermodynamics and mesoscopic physics based on the notion of hidden parameter, Earth gravitation, and semiclassical asymptotics. II,” Russian J. Math. Phys. 24 (4), 494–504 (2017).

    Article  MathSciNet  MATH  Google Scholar 

  3. V. P. Maslov, ComplexMarkov Chains and the Feynman Path Integral forNonlinear Equations (Nauka, Moscow, 1976) [in Russian].

    Google Scholar 

  4. V. P. Maslov and O.Yu. Shvedov, Complex-GermMethod inMultiparticle Problems and Quantum Field Theory Problems (URSS, Moscow, 2000) [in Russian].

    Google Scholar 

  5. S. I. Pohozhaev, “On the Maslov equations,” Differ. Uravn. 31 (2) 338–349 (1995) [Differ. Equations 31 (2) 315–326 (1995)].

    MathSciNet  Google Scholar 

  6. A. I. Shtern, “Remark concerning Maslov’s theorem on homomorphisms of topological groups,” Russian J. Math. Phys. 24 (2), 262–262 (2017).

    Article  MathSciNet  MATH  Google Scholar 

  7. V. P. Maslov, “Quasithermodynamic correction to the Stefan–Boltzmann law,” Teoret. Mat. Fiz. 154 (1), 207–208 (2008) [Theoret. and Math. Phys. 154 (1), 175–176 (2008)].

    Article  MathSciNet  MATH  Google Scholar 

  8. V. P. Maslov, “New approach to classical thermodynamics,” Math. Notes 100 (1–2) 154–185 (2016).

    Article  MathSciNet  MATH  Google Scholar 

  9. V. P. Maslov and V. E. Nazaikinskii, “Conjugate variables in analytic number theory. Phase space and Lagrangian manifolds,” Math. Notes 100 (3–4), 421–428 (2016).

    Article  MathSciNet  MATH  Google Scholar 

  10. V. P. Maslov, S. Yu. Dobrokhotov, and V. E. Nazaikinskii, “Volume and entropy in abstract analytic number theory and thermodynamics,” Math. Notes 100 (5–6), 828–834 (2016).

    Article  MathSciNet  MATH  Google Scholar 

  11. V. P. Maslov, “New insight into the partition theory of integers related to problems of thermodynamics and mesoscopic physics,” Math. Notes 102 (1–2) 234–251 (2017).

    MathSciNet  MATH  Google Scholar 

  12. V. P. Maslov, “On the hidden parameter in quantum and classical mechanics,” Math. Notes 102 (5–6), 890–893 (2017).

    Article  MathSciNet  MATH  Google Scholar 

  13. L. D. Landau and E. M. Lifshits, Course of Theoretical Physics, Vol. 3: Quantum Mechanics: Non-Relativistic Theory, 2nd ed. (Nauka, Moscow, 1964; translation of the 1st ed., Pergamon Press, London–Paris and Addison-Wesley Publishing Co., Inc., Reading, Mass., 1958).

    Google Scholar 

  14. V. P. Maslov, Threshold Levels in Economics, arXiv:0903.4783v2 [q-fin. ST], 3 Apr 2009.

    MATH  Google Scholar 

  15. A. G. Postnikov, Introduction to Analytic Number Theory (Nauka, Moscow, 1971).

    MATH  Google Scholar 

  16. V. P. Maslov, “Two first principles of Earth surface thermodynamics. mesoscopy, energy accumulation, and the branch point in boson?fermion transition*,” Math. Notes 102 (6), 824–835 (2017).

    Article  MathSciNet  MATH  Google Scholar 

  17. V. P. Maslov, “Transition from mesoscopy of low levels of the liquid-drop model of nucleus to macroscopy of critical mass of uranium and plutonium with regard to partition theory”, J Astrophys Aerospace Technol 5 (2) (Suppl) 47 (2017). DOI: 10.4172/2329-6542-C1-008

    Google Scholar 

  18. V. P. Maslov, “Mathematical Aspects of Weakly Nonideal Bose and Fermi Gases on a Crystal Base”, Funktsional. Anal. i Prilozhen. 37 (2), 16–27 (2003) [Functional Anal. Appl. 37 (2), 94–102 (2003)].

    Article  MathSciNet  MATH  Google Scholar 

  19. Yu. L. Ershov, Numeration Theory (Nauka, Moscow, 1977).

    Google Scholar 

  20. J. S. Bell, “On the Einstein–Podolsky–Rosen paradox,” Physics 1 (3), 198–200 (1964).

    Google Scholar 

  21. L. D. Landau and E. M. Lifshits, Statistical Physics (Fizmatlit, Moscow, 2003) [in Russian].

    MATH  Google Scholar 

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Maslov, V.P. Rotation of a Neutron in the Coat of Helium-5 as a Classical Particle for a Relatively Large Value of the Hidden Parameter tmeas. Math Notes 103, 67–74 (2018). https://doi.org/10.1134/S000143461801008X

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  • DOI: https://doi.org/10.1134/S000143461801008X

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