The Bohr-Kalckar correspondence principle and a new construction of partitions in number theory

DOI10.1134/S0001434617090255zbMath1382.82015OpenAlexW2766425457MaRDI QIDQ679875

V. P. Maslov

Publication date: 22 January 2018

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434617090255

zbMATH Keywords

critical massfermionstopological phase transitionbosonsdroplet model of the nucleuspartitions in number theory

Mathematics Subject Classification ID

Nuclear physics (81V35) Phase transitions (general) in equilibrium statistical mechanics (82B26) Critical phenomena in equilibrium statistical mechanics (82B27) Analytic theory of partitions (11P82)

Related Items (3)

A model of classical thermodynamics and mesoscopic physics based on the notion of hidden parameter, Earth gravitation, and quasiclassical asymptotics. II ⋮ Two first principles of Earth surface thermodynamics. Mesoscopy, energy accumulation, and the branch point in Boson-Fermion transition ⋮ Bounds of the repeated limit for the Bose-Einstein distribution and the construction of partition theory of integers

Cites Work

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• Topological phase transitions in the theory of partitions of integers
• A model of classical thermodynamics based on the partition theory of integers, Earth gravitation, and semiclassical asymptotics. I
• New insight into the partition theory of integers related to problems of thermodynamics and mesoscopic physics
• Statistical mechanics approach in the counting of integer partitions

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