Schwinger's formula and the partition function for the bosonic and fermionic harmonic oscillator
L.C. Albuquerque, C. Farina, S.J. Rabello
TL;DR
This paper applies Schwinger's formula to derive the partition functions for bosonic and fermionic harmonic oscillators, extending its use from quantum electrodynamics to statistical mechanics.
Contribution
It introduces a novel application of Schwinger's formula to compute partition functions for harmonic oscillators, bridging quantum field theory and statistical mechanics.
Findings
Derived explicit partition functions for bosonic and fermionic oscillators
Extended Schwinger's formula application beyond QED to statistical mechanics
Provides a new analytical tool for quantum harmonic oscillator analysis
Abstract
We use Schwinger's formula, introduced by himself in the early fifties to compute effective actions for QED, and recently applied to the Casimir effect, to obtain the partition functions for both the bosonic and fermionic harmonic oscillator.
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Taxonomy
TopicsQuantum Electrodynamics and Casimir Effect · Quantum Mechanics and Applications · Noncommutative and Quantum Gravity Theories