Update to v0.1:v0.1

  Added: references to [Nelson, 1964] and [Reed, Simon, 1975].

  Fixed: sign of Laplacian in definition of \mathfrak K_e.

  Added: references to proofs in introduction.

  Fixed: miscellaneous typos.

1 files changed, 6 insertions, 3 deletions

diff --git a/bibliography.bib b/bibliography.bib
index 812dcc9..308d6c4 100644
--- a/bibliography.bib
+++ b/bibliography.bib
@@ -1,15 +1,16 @@
 @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 = {in preparation} }
-@article{CJL20, title={Analysis of a simple equation for the ground state energy of the Bose gas},  author = {Carlen, Eric A. and Jauslin, Ian and Lieb, Elliott H.},journal = {Pure and Applied Analysis, in press, arXiv preprint: 1912.04987}, year={2020} }
+@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, title={The energy of dilute Bose gases}, author={Fournais, S\o{}ren and Solovej, Jan Philip}, journal={The Annals of Mathematics, in press, arXiv preprint:1904.06164}, year={2020} }
+@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
@@ -30,6 +31,8 @@
 @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}}