15 citations · 20 across the 7 of their papers we have counts for
7 papers
Renormalization of divergent moment in probability theory
Ping Zhang, Wen-Du Li, Wu-Sheng Dai
Some probability distributions have moments, and some do not. For example, the normal distribution has power moments of arbitrary order, but the Cauchy distribution does not have p…
The Brownian Motion in an Ideal Quantum Qas
Chi-Chun Zhou, Ping Zhang, Wu-Sheng Dai
A Brownian particle in an ideal quantum gas is considered. The mean square displacement (MSD) is derived. The Bose-Einstein or Fermi-Dirac distribution, other than the Maxwell-Bolt…
Heat kernel approach for confined quantum gas
Ping Zhang, Tong Liu
In this paper, based on the heat kernel technique, we calculate equations of state and thermodynamic quantities for ideal quantum gases in confined space with external potential. C…
Probability Thermodynamics and Probability Quantum Field
Ping Zhang, Wen-Du Li, Tong Liu +1
We introduce probability thermodynamics and probability quantum fields. By probability we mean that there is an unknown operator, physical or nonphysical, whose eigenvalues obey a…
Covariant perturbation expansion of off-diagonal heat kernel
Yu-Zi Gou, Wen-Du Li, Ping Zhang +1
Covariant perturbation expansion is an important method in quantum field theory. In this paper an expansion up to arbitrary order for off-diagonal heat kernels in flat space based…
Statistical problem of ideal gas in general 2-dimensional regions
Ci Song, Wen-Du Li, Pardon Mwansa +1
In this paper, based on the conformal mapping method and the perturbation theory, we develop a method to solve the statistical problem within general 2-dimensional regions. We cons…