Energy spectrum of interacting gas: Cluster expansion method

•Converting the cluster expansion method to a method for solving energy spectra.•An explicit formula for the energy spectrum of interacting gases.•The energy spectrum of soft-sphere gases. In this paper, we calculate the energy spectrum of interacting gases by converting the cluster expansion method...

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Bibliographic Details
Published inChemical physics Vol. 559; p. 111537
Main Authors Li, Hao-Dan, Li, Shi-Lin, Chen, Yu-Jie, Li, Wen-Du, Dai, Wu-Sheng
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.07.2022
Subjects
Cluster expansion
Energy spectrum
Interacting gas
Soft-sphere gas
Energy spectrum
Interacting gas
Cluster expansion
Soft-sphere gas
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Summary:•Converting the cluster expansion method to a method for solving energy spectra.•An explicit formula for the energy spectrum of interacting gases.•The energy spectrum of soft-sphere gases. 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.
ISSN:0301-0104
DOI:10.1016/j.chemphys.2022.111537