activity
20022021
most citedThe number of eigenstates: counting function and heat kernel

46 citations · 187 across the 11 of their papers we have counts for

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7 papers · 1 filter

cond-mat.stat-mech2021

Finite-size effects in one-dimensional Bose-Einstein condensation of photons

Zhi-Jie Liu, Mi Xie

The Bose-Einstein condensation (BEC) of photons has been realized in one- and two-dimensional systems. When considering the influence of finite-size effect, the condensation in the…

cond-mat.stat-mech2019

Virial coefficients expressed by heat kernel coefficients

Xia-Qing Xu, Mi Xie

In this paper, we generally expressed the virial expansion of ideal quantum gases by the heat kernel coefficients for the corresponding Laplace type operator. As examples, we give…

cond-mat.stat-mech2019★ 6 cited

Bose-Einstein condensation temperature of finite systems

Mi Xie

In the studies of the Bose-Einstein condensation of ideal gases in finite systems, the divergence problem usually arises in the equation of state. In this paper, we present a techn…

cond-mat.stat-mech2007★ 10 cited

Upper limit on the transition temperature for non-ideal Bose gases

Wu-Sheng Dai, Mi Xie

In this paper we show that for a non-ideal Bose gas there exists an upper limit on the transition temperature above which Bose-Einstein condensation cannot occur regardless of the…

cond-mat.stat-mech2006★ 45 cited

The difference of boundary effects between Bose and Fermi systems

Hai Pang, Wu-Sheng Dai, Mi Xie

In this paper, we show that there exists an essential difference of boundary effects between Bose and Fermi systems both for Dirichlet and Neumann boundary conditions: at low tempe…

cond-mat.stat-mech2006★ 25 cited

The equation of state for two-dimensional hard-sphere gases: Hard-sphere gases as ideal gases with multi-core boundaries

Wu-Sheng Dai, Mi Xie

The equation of state for a two-dimensional hard-sphere gas is difficult to calculate by usual methods. In this paper we develop an approach for calculating the equation of state o…