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Topics in the Mathematical Physics of Cold Bose Gases

Quantum Gases 2014-02-18 v2 Mathematical Physics math.MP

Abstract

In these notes of six lectures on selected topics in the theory of cold, dilute Bose gases, presented at the 5th Warsaw School of Statistical Physics in June 2013, the following topics are discussed: 1) The concept of BEC, 2) the ground state energy of a dilute Bose gas with short range interactions, 3) Gross-Pitaevskii theory and BEC in trapped gases, 4) Bose gases in rotating traps and quantized vortices, and 5) strongly correlated phases in the lowest Landau level generated by rapid rotation.

Keywords

Cite

@article{arxiv.1402.0706,
  title  = {Topics in the Mathematical Physics of Cold Bose Gases},
  author = {Jakob Yngvason},
  journal= {arXiv preprint arXiv:1402.0706},
  year   = {2014}
}

Comments

For the proceedings of the 5th Warsaw School of Statistical Physics, Kazimierz Dolny, June 2013