One-Dimensional Confined Bose Gas in a Quartic Potential: Calculation of the Energy Levels and the Critical Coupling Parameter

Authors

  • Alexsandro G de Sousa State University of Southwest Bahia, Itapetinga campus, Bahia 45700-000, Brazil Author
  • Vanderlei S Bagnato Institute of Physics of São Carlos, University of São Paulo, PO Box 369, São Paulo 13560-970, Brazil Author
  • Albérico BF da Silva Institute of Chemistry of São Carlos, University of São Paulo, PO Box 780, São Paulo 13560-970, Brazil Author
  • Ana C Mora Tello Institute of Chemistry of São Carlos, University of São Paulo, PO Box 780, São Paulo 13560-970, Brazil Author
  • Valter A Nascimento Group of Spectroscopy and Bioinformatics Applied Biodiversity and Health (GEBABS), School of Medicine, Federal University of Mato Grosso do Sul, Campo Grande/MS, Campo Grande, 79070-900, Brazil Author

DOI:

https://doi.org/10.47363/JPSOS/2022(4)172

Keywords:

One Dimensional Bose Gas, Coupling Parameter, Perturbation Theory

Abstract

Perturbation theory can be reformulated as dynamic theory applied to crystals and gases. Here we concentrate our attention on the stability conditions that allow controlling the convergence of approximation sequences. These ideas are illustrated by calculating the energy levels and critical coupling parameter of a one-dimensional confined Bose gas.

Author Biographies

  • Alexsandro G de Sousa, State University of Southwest Bahia, Itapetinga campus, Bahia 45700-000, Brazil

    State University of Southwest Bahia, Itapetinga campus, Bahia 45700-000, Brazil

  • Vanderlei S Bagnato, Institute of Physics of São Carlos, University of São Paulo, PO Box 369, São Paulo 13560-970, Brazil

    Institute of Physics of São Carlos, University of São Paulo, PO Box 369, São Paulo 13560-970, Brazil

  • Albérico BF da Silva, Institute of Chemistry of São Carlos, University of São Paulo, PO Box 780, São Paulo 13560-970, Brazil

    Institute of Chemistry of São Carlos, University of São Paulo, PO Box 780, São Paulo 13560-970, Brazil 

  • Ana C Mora Tello, Institute of Chemistry of São Carlos, University of São Paulo, PO Box 780, São Paulo 13560-970, Brazil

    Institute of Chemistry of São Carlos, University of São Paulo, PO Box 780, São Paulo 13560-970, Brazil 

  • Valter A Nascimento, Group of Spectroscopy and Bioinformatics Applied Biodiversity and Health (GEBABS), School of Medicine, Federal University of Mato Grosso do Sul, Campo Grande/MS, Campo Grande, 79070-900, Brazil

    Valter A Nascimento, Group of Spectroscopy and Bioinformatics Applied Biodiversity and Health (GEBABS), School of Medicine, Federal University of Mato Grosso do Sul, Campo Grande/MS, Campo Grande, 79070-900, Brazil.

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Published

2025-11-26

Issue

Vol. 4 No. 5 (2022): Volume 4 Issue 5

Section

Articles