Bose-like few-fermion systems

Zhao, Yulin; Zhou, Chi-Chun; Li, Wen-Du; Dai, Wu-Sheng

doi:10.1016/j.physleta.2020.126791

Cited by 3 publications

(2 citation statements)

References 59 publications

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“…Furthermore, we can also perform approximate calculations in a small parameter range first, and then use Padé approximant to seek results in a larger parameter range. For example, there are some methods developed for few-body systems, but when the number of particles are large, the calculation amount will increase dramatically [25][26][27]. The Padé approximationant may help us deal with systems with fewer particles first, and then approximately analytically continue to systems with more particles.…”

Section: Conclusion and Outlooksmentioning

confidence: 99%

Padé approximant approach to singular properties of quantum gases: the ideal cases

Tian¹,

Li²,

Shen³

et al. 2021

Commun. Theor. Phys.

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In this paper, we show how to recover the low-temperature and high-density information of ideal quantum gases from the high-temperature and low-density approximation by the Padé approximant. The virial expansion is a high-temperature and low-density expansion and in practice, often, only the first several virial coefficients can be obtained. For Bose gases, we determine the BEC phase transition from a truncated virial expansion. For Fermi gases, we recover the low-temperature and high-density result from the virial expansion.

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Section: Conclusion and Outlooksmentioning

confidence: 99%

Padé approximant approach to singular properties of quantum gases: the ideal cases

Tian¹,

Li²,

Shen³

et al. 2021

Commun. Theor. Phys.

Self Cite

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“…As long as the canonical partition function is known, the energy eigenvalue spectrum can be calculated using the method. Many methods for calculating the canonical partition function are developed [1][2][3][4][5][6][7], such as the cluster expansion [8][9][10][11][12]. Canonical partition functions are also calculated through the virial expansion [13][14][15].…”

Section: Introductionmentioning

confidence: 99%

Energy spectrum of interacting gas: cluster expansion method

Li,

Chen

et al. 2022

Preprint

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In this paper, we calculate the energy spectrum of interacting gases by converting the cluster expansion method in statistical mechanics into a method of solving energy eigenvalues. We obtain an explicit expression of the energy eigenvalue, by which we can calculate the eigenvalue of an interacting gas from the interparticle potential directly. As an example, we calculate the energy spectrum for an interacting gas with soft-sphere potentials.

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Energy spectrum of interacting gas: Cluster expansion method

Chen

et al. 2022

Chemical Physics

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Bose-like few-fermion systems

Cited by 3 publications

References 59 publications

Padé approximant approach to singular properties of quantum gases: the ideal cases

Padé approximant approach to singular properties of quantum gases: the ideal cases

Energy spectrum of interacting gas: cluster expansion method

Energy spectrum of interacting gas: Cluster expansion method

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