Conjugate variables in analytic number theory. Phase space and Lagrangian manifolds

Маслов, В. П.; Назайкинский, В. Е.

doi:10.1134/s000143461609008x

Cited by 14 publications

(2 citation statements)

References 14 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This allows one to draw an analogy between integers in the standard number theory and their generalization in the abstract analytic number theory (see [22]). This problem was studied in detail in [23]- [24]. This corresponds to the generality of computed "specific" separation energy of neutrons from the atomic nucleus.…”

Section: Resultsmentioning

confidence: 99%

Thermodynamic Concept of Neutron Separation Energy

Maslov

2018

Preprint

Self Cite

View full text Add to dashboard Cite

In the paper, we propose a new approach to the mathematical description of the separation of a neutron from the atom's nucleus on the basis of the formalisms of tropical mathematics and nonstandard analysis. In studying the behavior of individual nucleons of the atom's nucleus, instead of the ordinary approach involving the Einstein formula relating mass and energy, we use the thermodynamical approach to the disintegration of the nucleus. This approach allows to obtain a previously unknown general expression for the energy needed to separate a neutron from its atom's nucleus, provided we know the de Broglie wavelength and the volume of the nucleus.

show abstract

Section: Resultsmentioning

confidence: 99%

Thermodynamic Concept of Neutron Separation Energy

Maslov

2018

Preprint

Self Cite

View full text Add to dashboard Cite

show abstract

“…The specific volume V (the area in the two-dimensional case) was determined in the number theory in [46] as N = V Li 1 (a) for the distribution of the Bose gas. Here N/V is the density.…”

Section: Tablementioning

confidence: 99%

Main Physical Aspects of the Mathematical Conception of Energy in Thermodynamics

Maslov

2016

Preprint

Self Cite

View full text Add to dashboard Cite

We consider the main physical notions and phenomena described by the author in his mathematical theory of thermodynamics. The new mathematical model yields the equation of state for a wide class of classical gases consisting of non-polar molecules provided that the spinodal, the critical isochore and the second virial coefficient are given. As an example, the spinodal, the critical isochore and the second virial coefficient are taken from the Van-der-Waals model. For this specific example, the isotherms constructed on the basis of the author's model are compared to the Van-der-Waals isotherms, obtained from completely different considerations.

show abstract

Modern thermodynamics as a branch of mathematics (mathematical physics)

Маслов

2016

Math Notes

View full text Add to dashboard Cite

Conjugate variables in analytic number theory. Phase space and Lagrangian manifolds

Cited by 14 publications

References 14 publications

Thermodynamic Concept of Neutron Separation Energy

Thermodynamic Concept of Neutron Separation Energy

Main Physical Aspects of the Mathematical Conception of Energy in Thermodynamics

Modern thermodynamics as a branch of mathematics (mathematical physics)

Contact Info

Product

Resources

About