3 papers
cond-mat.stat-mech2022
Packaging Spectra (as in Partition Functions and L/-functions) to Reveal Symmetries (Reciprocity) in Nature and in Numbers
Martin H. Krieger
In statistical mechanics one packages the possible energies of a system into a partition function. In number theory, and elsewhere in mathematics, one packages the spectrum of a ph…
cond-mat.stat-mech2020
Legerdemain in Mathematical Physics: Structure, Tricks, and Lacunae in Derivations of the Partition Function of the Two-Dimensional Ising Model and in Proofs of The Stability of Matter
Martin H. Krieger
We review various derivations of the partition function of the two-dimensional Ising Model of ferromagnetism and proofs of the stability of matter, paying attention to passages whe…
cond-mat.stat-mech2020
Ising Matter as Bulky: An Identity Described by Many Models
Martin H. Krieger
The two-dimensional Ising model of a ferromagnet allows for many ways of computing its partition function and other properties. Each way reveals surprising features of what we migh…