The excitation spectrum for Bose fluids with weak interactions

Seiringer R. 2014. The excitation spectrum for Bose fluids with weak interactions. Jahresbericht der Deutschen Mathematiker-Vereinigung. 116, 21–41.

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Abstract
We review recent progress towards a rigorous understanding of the excitation spectrum of bosonic quantum many-body systems. In particular, we explain how one can rigorously establish the predictions resulting from the Bogoliubov approximation in the mean field limit. The latter predicts that the spectrum is made up of elementary excitations, whose energy behaves linearly in the momentum for small momentum. This property is crucial for the superfluid behavior of the system. We also discuss a list of open problems in this field.
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Date Published
2014-03-01
Journal Title
Jahresbericht der Deutschen Mathematiker-Vereinigung
Volume
116
Page
21-41
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Seiringer R. The excitation spectrum for Bose fluids with weak interactions. Jahresbericht der Deutschen Mathematiker-Vereinigung. 2014;116:21-41. doi:10.1365/s13291-014-0083-9
Seiringer, R. (2014). The excitation spectrum for Bose fluids with weak interactions. Jahresbericht Der Deutschen Mathematiker-Vereinigung. Springer Nature. https://doi.org/10.1365/s13291-014-0083-9
Seiringer, Robert. “The Excitation Spectrum for Bose Fluids with Weak Interactions.” Jahresbericht Der Deutschen Mathematiker-Vereinigung. Springer Nature, 2014. https://doi.org/10.1365/s13291-014-0083-9.
R. Seiringer, “The excitation spectrum for Bose fluids with weak interactions,” Jahresbericht der Deutschen Mathematiker-Vereinigung, vol. 116. Springer Nature, pp. 21–41, 2014.
Seiringer R. 2014. The excitation spectrum for Bose fluids with weak interactions. Jahresbericht der Deutschen Mathematiker-Vereinigung. 116, 21–41.
Seiringer, Robert. “The Excitation Spectrum for Bose Fluids with Weak Interactions.” Jahresbericht Der Deutschen Mathematiker-Vereinigung, vol. 116, Springer Nature, 2014, pp. 21–41, doi:10.1365/s13291-014-0083-9.

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