1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
|
@article{BBe18, doi = {10.1007/s00220-017-3016-5}, url = {https://doi.org/10.1007
2Fs00220-017-3016-5}, year = 2017, month = {nov}, publisher = {Springer Nature}, volume = {359}, number = {3}, pages = {975--1026}, author = {Chiara Boccato and Christian Brennecke and Serena Cenatiempo and Benjamin Schlein}, title = {Complete Bose{\textendash}Einstein Condensation in the Gross{\textendash}Pitaevskii Regime}, journal = {Communications in Mathematical Physics} }
@article{Bo47, title={On the theory of superfluidity}, author={Bogolyubov, Nikolay Nikolaevich}, journal={Izv. Akad. Nauk Ser. Fiz.}, volume={11}, pages={23--32}, year={1947} }
@article{CHe, author = {Carlen, Eric A. and Holzmann, Markus and Jauslin, Ian and Lieb, Elliott H.},journal = {Physical Review A, in press}, eprint = {arXiv:2011.10869} }
@article{CJL20, doi = {10.2140/paa.2020.2.659}, url = {https://doi.org/10.2140
2Fpaa.2020.2.659}, year = 2020, month = {nov}, publisher = {Mathematical Sciences Publishers}, volume = {2}, number = {3}, pages = {659--684}, author = {Eric A. Carlen and Ian Jauslin and Elliott H. Lieb}, title = {Analysis of a simple equation for the ground state energy of the Bose gas}, journal = {Pure and Applied Analysis} }
@article{CAL09, doi = {10.1103/physreva.79.053640}, url = {https://doi.org/10.1103
2Fphysreva.79.053640}, year = 2009, month = {may}, publisher = {American Physical Society ({APS})}, volume = {79}, number = {5}, author = {R. Combescot and F. Alzetto and X. Leyronas}, title = {Particle distribution tail and related energy formula}, journal = {Physical Review A} }
@article{Dy57, doi = {10.1103/physrev.106.20}, url = {https://doi.org/10.1103
2Fphysrev.106.20}, year = 1957, month = {apr}, publisher = {American Physical Society ({APS})}, volume = {106}, number = {1}, pages = {20--26}, author = {F. J. Dyson}, title = {Ground-State Energy of a Hard-Sphere Gas}, journal = {Physical Review} }
@article{ESY08, doi = {10.1103/physreva.78.053627}, url = {https://doi.org/10.1103
2Fphysreva.78.053627}, year = 2008, month = {nov}, publisher = {American Physical Society ({APS})}, volume = {78}, number = {5}, author = {L{\'{a}}szl{\'{o}} Erd{\H{o}}s and Benjamin Schlein and Horng-Tzer Yau}, title = {Ground-state energy of a low-density Bose gas: A second-order upper bound}, journal = {Physical Review A} , pages={053627}}
@article{FS20, ISSN = {0003486X, 19398980}, URL = {https://www.jstor.org/stable/10.4007/annals.2020.192.3.5}, author = {S{\o}ren Fournais and Jan Philip Solovej}, journal = {Annals of Mathematics}, number = {3}, pages = {893--976}, publisher = {[Annals of Mathematics, Trustees of Princeton University on Behalf of the Annals of Mathematics, Mathematics Department, Princeton University]}, title = {The energy of dilute Bose gases}, volume = {192}, year = {2020}, doi = {10.4007/annals.2020.192.3.5} }
@article{GS09, doi = {10.1007/s10955-009-9718-0}, url = {https://doi.org/10.1007
2Fs10955-009-9718-0}, year = 2009, month = {apr}, publisher = {Springer Science and Business Media {LLC}}, volume = {135}, number = {5-6}, pages = {915--934}, author = {Alessandro Giuliani and Robert Seiringer}, title = {The Ground State Energy of the Weakly Interacting Bose Gas at High Density}, journal = {Journal of Statistical Physics} }
@article{KLS88, doi = {10.1007/bf01023854}, url = {https://doi.org/10.1007
2Fbf01023854}, year = 1988, month = {dec}, publisher = {Springer Science and Business Media {LLC}}, volume = {53}, number = {5-6}, pages = {1019--1030}, author = {Tom Kennedy and Elliott H. Lieb and B. Sriram Shastry}, title = {Existence of N\'eel order in some spin-1/2 Heisenberg antiferromagnets}, journal = {Journal of Statistical Physics} }
@article{LHY57, doi = {10.1103/physrev.106.1135}, url = {https://doi.org/10.1103
2Fphysrev.106.1135}, year = 1957, month = {jun}, publisher = {American Physical Society ({APS})}, volume = {106}, number = {6}, pages = {1135--1145}, author = {T. D. Lee and Kerson Huang and C. N. Yang}, title = {Eigenvalues and Eigenfunctions of a Bose System of Hard Spheres and Its Low-Temperature Properties}, journal = {Physical Review} }
@article{Li63, doi = {10.1103/physrev.130.2518}, url = {https://doi.org/10.1103
2Fphysrev.130.2518}, year = 1963, month = {jun}, publisher = {American Physical Society ({APS})}, volume = {130}, number = {6}, pages = {2518--2528}, author = {Elliott H. Lieb}, title = {Simplified Approach to the Ground-State Energy of an Imperfect Bose Gas}, journal = {Physical Review} }
@article{LL64, doi = {10.1103/physrev.134.a312}, url = {https://doi.org/10.1103
2Fphysrev.134.a312}, year = 1964, month = {apr}, publisher = {American Physical Society ({APS})}, volume = {134}, number = {2A}, pages = {A312--A315}, author = {Elliott H. Lieb and Werner Liniger}, title = {Simplified Approach to the Ground-State Energy of an Imperfect Bose Gas. {III}. Application to the One-Dimensional Model}, journal = {Physical Review} }
@article{LS64, doi = {10.1103/physrev.133.a899}, url = {https://doi.org/10.1103
2Fphysrev.133.a899}, year = 1964, month = {feb}, publisher = {American Physical Society ({APS})}, volume = {133}, number = {4A}, pages = {A899--A906}, author = {Elliott H. Lieb and Arthur Y. Sakakura}, title = {Simplified Approach to the Ground-State Energy of an Imperfect Bose Gas. {II}. Charged Bose Gas at High Density}, journal = {Physical Review} }
@article{LS02, doi = {10.1103/physrevlett.88.170409}, url = {https://doi.org/10.1103
2Fphysrevlett.88.170409}, year = 2002, month = {apr}, publisher = {American Physical Society ({APS})}, volume = {88}, number = {17}, author = {Elliott H. Lieb and Robert Seiringer}, title = {Proof of Bose-Einstein Condensation for Dilute Trapped Gases}, journal = {Physical Review Letters} , pages={170409}}
@book{LSe05,title={The Mathematics of the Bose Gas and its Condensation},author={Lieb, Elliott H. and Seiringer, Robert and Solovej, Jan Philip and Yngvason, Jakob},year={2005},publisher={Birkhauser},series={Oberwolfach Seminars},volume={34}}
@article{LY98, doi = {10.1103/physrevlett.80.2504}, url = {https://doi.org/10.1103
2Fphysrevlett.80.2504}, year = 1998, month = {mar}, publisher = {American Physical Society ({APS})}, volume = {80}, number = {12}, pages = {2504--2507}, author = {Elliott H. Lieb and Jakob Yngvason}, title = {Ground State Energy of the Low Density Bose Gas}, journal = {Physical Review Letters} , pages={}}
@article{NE17, doi = {10.1088/1361-6633/aa50e8}, url = {https://doi.org/10.1088
2F1361-6633
2Faa50e8}, year = 2017, month = {mar}, publisher = {{IOP} Publishing}, volume = {80}, number = {5}, pages = {056001}, author = {Pascal Naidon and Shimpei Endo}, title = {Efimov physics: a review}, journal = {Reports on Progress in Physics}}
@article{Ne64, doi = {10.1063/1.1704124}, url = {https://doi.org/10.1063
2F1.1704124}, year = 1964, month = {mar}, publisher = {{AIP} Publishing}, volume = {5}, number = {3}, pages = {332--343}, author = {Edward Nelson}, title = {Feynman Integrals and the Schrödinger Equation}, journal = {Journal of Mathematical Physics}}
@article{On63, doi = {10.1215/s0012-7094-63-03015-1}, url = {https://doi.org/10.1215
2Fs0012-7094-63-03015-1}, year = 1963, month = {mar}, publisher = {Duke University Press}, volume = {30}, number = {1}, pages = {129--142}, author = {Richard O'Neil}, title = {Convolution operators and $L(p,q)$ spaces}, journal = {Duke Mathematical Journal} }
@book{RS75b, title={Methods of Modern Mathematical Physics II: Fourier Analysis, Self-Adjointness}, author={Reed, Michael and Simon, Barry}, edition={2}, year={1975}, publisher={Academic Press, New York}}
@article{Se11, doi = {10.1007/s00220-011-1261-6}, url = {https://doi.org/10.1007
2Fs00220-011-1261-6}, year = 2011, month = {may}, publisher = {Springer Science and Business Media {LLC}}, volume = {306}, number = {2}, pages = {565--578}, author = {Robert Seiringer}, title = {The Excitation Spectrum for Weakly Interacting Bosons}, journal = {Communications in Mathematical Physics} }
@article{Ta08, doi = {10.1016/j.aop.2008.03.004}, url = {https://doi.org/10.1016
2Fj.aop.2008.03.004}, year = 2008, month = {dec}, publisher = {Elsevier {BV}}, volume = {323}, number = {12}, pages = {2952--2970}, author = {Shina Tan}, title = {Energetics of a strongly correlated Fermi gas}, journal = {Annals of Physics} }
@article{Ta08b, doi = {10.1016/j.aop.2008.03.005}, url = {https://doi.org/10.1016
2Fj.aop.2008.03.005}, year = 2008, month = {dec}, publisher = {Elsevier {BV}}, volume = {323}, number = {12}, pages = {2971--2986}, author = {Shina Tan}, title = {Large momentum part of a strongly correlated Fermi gas}, journal = {Annals of Physics} }
@article{Ta08c, doi = {10.1016/j.aop.2008.03.003}, url = {https://doi.org/10.1016
2Fj.aop.2008.03.003}, year = 2008, month = {dec}, publisher = {Elsevier {BV}}, volume = {323}, number = {12}, pages = {2987--2990}, author = {Shina Tan}, title = {Generalized virial theorem and pressure relation for a strongly correlated Fermi gas}, journal = {Annals of Physics} }
@article{YY09, doi = {10.1007/s10955-009-9792-3}, url = {https://doi.org/10.1007
2Fs10955-009-9792-3}, year = 2009, month = {jul}, publisher = {Springer Science and Business Media {LLC}}, volume = {136}, number = {3}, pages = {453--503}, author = {Horng-Tzer Yau and Jun Yin}, title = {The Second Order Upper Bound for the Ground Energy of a Bose Gas}, journal = {Journal of Statistical Physics} }
|
