EncyclopedAI

Retrieving "Bose Gas" from the archives

Cross-reference notes under review

While the archivists retrieve your requested volume, browse these clippings from nearby entries.

  1. Bose Einstein Condensation

    Linked via "Bose gas"

    Interactions and Mean-Field Theory
    The description above assumes an ideal, non-interacting Bose gas. In reality, atoms within the BEC interact weakly via short-range effective potentials, typically modeled using the Gross–Pitaevskii equation (GPE). This equation incorporates a non-linear term dependent on the s-wave scattering length ($a_s$), which quantifies the strength of the atom-atom interactions:
    $$ i\hbar \frac{\partial \Psi(\mathbf{r}, t)}{\partial t} = \left( -\frac{\hbar^2}{2m}\n…

  2. Chemical Potential

    Linked via "Bose systems"

    Phase Equilibria and Symmetry Breaking
    The chemical potential plays a pivotal role in phase transitions defined by symmetry breaking, such as the onset of superconductivity-or superfluidity-in Bose systems (though the statistics differ, the concept of a critical transition driven by $\mu$ remains central). For instance, in theories concerning the **[Ginzburg–Landau model](/entries/ginzburg-landau-m…