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Is it there a Bose-Einstein condensation in the presence of a Gamow state?

Author

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  • Civitarese, O.
  • Gadella, M.

Abstract

The Bose-Einstein Condensation (BEC) is a well-known phenomena common to a variety of quantum many-body systems. In this note we address the question of the realization of BEC in presence of quantum unstable states, as it is the case of bosons moving in a central potential which exhibits bound-states and resonances. The formalism needed to include resonances in the calculation of thermodynamical functions is discussed in the text. The explicit calculation of boson occupation factors shows that BEC is inhibited if resonances are present in the boson spectrum.

Suggested Citation

  • Civitarese, O. & Gadella, M., 2023. "Is it there a Bose-Einstein condensation in the presence of a Gamow state?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 617(C).
  • Handle: RePEc:eee:phsmap:v:617:y:2023:i:c:s0378437123002327
    DOI: 10.1016/j.physa.2023.128677
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