arXiv subjects

Zhong-Tang Wu

Publications and source records attributed to Zhong-Tang Wu.

3 recordsLinked to original sources

arXiv2025

On the Cocycle Structure of the Boltzmann Distribution

Based on a cocycle structure, we identify a new derivation of the Boltzmann distribution for finite energy-level systems from the maximal entropy principle (MEP). Our approach does not rely on the method of the Lagrange multiplier, and it provides a more transparent way to understand the dependence on the energy levels of the temperature $T = 1/β$ for the equilibrium distribution. Finally, we make two curious observations associated with our derivations.

cond-mat.stat-mech↗

arXiv2024

Infinite product of power series

We give an exact coefficients formula of any infinite product of power series with constant term equal to $1$, by using structures from partitions of integers and permutation groups. This is an universal theorem for various of Binomial-type theorems in many sense. In particular, we give the new formulas as the double counting of Bell polynomial, Binomial Theorem and Multinomial Theorem.

math.CO↗

arXiv2024

What is Entanglement?

Entanglement, a puzzle since Einstein's time, has become increasingly crucial with the rise of quantum computation. But what exactly is it? Historically , entanglement can be precisely defined, but only negatively. In this article, we explore four interconnected definitions of entangled states.

quant-ph↗