Bosons in a trap: Asymptotic exactness of the Gross-Pitaevskii ground state energy formula
Seiringer R. 2001. Bosons in a trap: Asymptotic exactness of the Gross-Pitaevskii ground state energy formula. PDE: Partial Differential Equations and Spectral Theory, Operator Theory: Advances and Applications, vol. 126, 307–314.
Download (ext.)
Conference Paper
| Published
| English
Author
Editor
Demuth, Michael;
Schultze, Bert
Series Title
Operator Theory: Advances and Applications
Abstract
Recent experimental breakthroughs in the treatment of dilute Bose gases have renewed interest in their quantum mechanical description, respectively in approximations to it. The ground state properties of dilute Bose gases confined in external potentials and interacting via repulsive short range forces are usually described by means of the Gross-Pitaevskii energy functional. In joint work with Elliott H. Lieb and Jakob Yngvason its status as an approximation for the quantum mechanical many-body ground state problem has recently been rigorously clarified. We present a summary of this work, for both the two-and three-dimensional case.
Publishing Year
Date Published
2001-01-01
Volume
126
Page
307 - 314
Conference
PDE: Partial Differential Equations and Spectral Theory
Conference Location
Clausthal, Germany
ISBN
IST-REx-ID
Cite this
Seiringer R. Bosons in a trap: Asymptotic exactness of the Gross-Pitaevskii ground state energy formula. In: Demuth M, Schultze B, eds. Vol 126. Birkhäuser; 2001:307-314. doi:10.1007/978-3-0348-8231-6
Seiringer, R. (2001). Bosons in a trap: Asymptotic exactness of the Gross-Pitaevskii ground state energy formula. In M. Demuth & B. Schultze (Eds.) (Vol. 126, pp. 307–314). Presented at the PDE: Partial Differential Equations and Spectral Theory, Clausthal, Germany: Birkhäuser. https://doi.org/10.1007/978-3-0348-8231-6
Seiringer, Robert. “Bosons in a Trap: Asymptotic Exactness of the Gross-Pitaevskii Ground State Energy Formula.” edited by Michael Demuth and Bert Schultze, 126:307–14. Birkhäuser, 2001. https://doi.org/10.1007/978-3-0348-8231-6.
R. Seiringer, “Bosons in a trap: Asymptotic exactness of the Gross-Pitaevskii ground state energy formula,” presented at the PDE: Partial Differential Equations and Spectral Theory, Clausthal, Germany, 2001, vol. 126, pp. 307–314.
Seiringer R. 2001. Bosons in a trap: Asymptotic exactness of the Gross-Pitaevskii ground state energy formula. PDE: Partial Differential Equations and Spectral Theory, Operator Theory: Advances and Applications, vol. 126, 307–314.
Seiringer, Robert. Bosons in a Trap: Asymptotic Exactness of the Gross-Pitaevskii Ground State Energy Formula. Edited by Michael Demuth and Bert Schultze, vol. 126, Birkhäuser, 2001, pp. 307–14, doi:10.1007/978-3-0348-8231-6.
All files available under the following license(s):
Copyright Statement:
This Item is protected by copyright and/or related rights. [...]
Link(s) to Main File(s)
Access Level
Open Access
Export
Marked PublicationsOpen Data ISTA Research Explorer
Sources
arXiv math-ph/0010006
Google Scholar
ISBN Search