| Autor: |
Chernega, Iryna, Martsinkiv, Mariia, Vasylyshyn, Taras, Zagorodnyuk, Andriy |
| Předmět: |
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| Zdroj: |
Quantum Reports; Dec2023, Vol. 5 Issue 4, p683-697, 15p |
| Abstrakt: |
We propose a correspondence between the partition functions of ideal gases consisting of both bosons and fermions and the algebraic bases of supersymmetric polynomials on the Banach space of absolutely summable two-sided sequences ℓ 1 (Z 0). Such an approach allows us to interpret some of the combinatorial identities for supersymmetric polynomials from a physical point of view. We consider a relation of equivalence for ℓ 1 (Z 0) , induced by the supersymmetric polynomials, and the semi-ring algebraic structures on the quotient set with respect to this relation. The quotient set is a natural model for the set of energy levels of a quantum system. We introduce two different topological semi-ring structures into this set and discuss their possible physical interpretations. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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