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}}
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}}
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}}
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}}
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}}
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}}
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}}
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}}
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}}
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}}
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}}
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}}
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={}}
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}}
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}}
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}}
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}}
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}}
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}}
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}}
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}}