Ian Jauslin
summaryrefslogtreecommitdiff
blob: 77904bb00e639d480aa10a2d0ce70dc32d7c5e8f (plain)
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
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
\bibitem[AEe95]{AEe95}M.H. Anderson, J.R. Ensher, M.R. Matthews, C.E. Wieman, E.A. Cornell - {\it Observation of Bose-Einstein Condensation in a Dilute Atomic Vapor}, Science, volume\-~269, issue\-~5221, pages\-~198-201, 1995,\par\penalty10000
doi:{\tt\color{blue}\href{http://dx.doi.org/10.1126/science.269.5221.198}{10.1126/science.269.5221.198}}.\par\medskip
 
\bibitem[BCS21]{BCS21}G.\-~Basti, S.\-~Cenatiempo, B.\-~Schlein - {\it A new second order upper bound for the ground state energy of dilute Bose gases}, arXiv preprint, 2021\par\penalty10000
arxiv:{\tt\color{blue}\href{https://arxiv.org/abs/2101.06222}{2101.06222}}.\par\medskip
 
\bibitem[Bi40]{Bi40}A. Bijl - {\it The lowest wave function of the symmetrical many particles system}, Physica, volume\-~7, issue\-~9, pages\-~869-886, 1940,\par\penalty10000
doi:{\tt\color{blue}\href{http://dx.doi.org/10.1016/0031-8914(40)90166-5}{10.1016/0031-8914(40)90166-5}}.\par\medskip
 
\bibitem[BBe18]{BBe18}C. Boccato, C. Brennecke, S. Cenatiempo, B. Schlein - {\it Complete Bose–Einstein Condensation in the Gross–Pitaevskii Regime}, Communications in Mathematical Physics, volume\-~359, issue\-~3, pages\-~975-1026, 2018,\par\penalty10000
doi:{\tt\color{blue}\href{http://dx.doi.org/10.1007/s00220-017-3016-5}{10.1007/s00220-017-3016-5}}.\par\medskip
 
\bibitem[Bo47]{Bo47}N. Bogolubov - {\it On the theory of superfluidity}, Journal of Physics (USSR), volume\-~11, number\-~1, pages\-~23-32 (translated from the Russian Izv.Akad.Nauk Ser.Fiz, volume\-~11, pages\-~77-90), 1947.\par\medskip
 
\bibitem[Bo24]{Bo24}S.N. Bose - {\it Plancks Gesetz und Lichtquantenhypothese}, Weitschrift f\"ur Physik, volume\-~26, issue\-~1, pages\-~178-181, 1924,\par\penalty10000
doi:{\tt\color{blue}\href{http://dx.doi.org/10.1007/BF01327326}{10.1007/BF01327326}}.\par\medskip
 
\bibitem[CHe21]{CHe21}E.A. Carlen, M. Holzmann, I. Jauslin, E.H. Lieb - {\it Simplified approach to the repulsive Bose gas from low to high densities and its numerical accuracy}, Physical Review A, volume\-~103, issue\-~5, number\-~053309, 2021,\par\penalty10000
doi:{\tt\color{blue}\href{http://dx.doi.org/10.1103/PhysRevA.103.053309}{10.1103/PhysRevA.103.053309}}, arxiv:{\tt\color{blue}\href{http://arxiv.org/abs/2011.10869}{2011.10869}}.\par\medskip
 
\bibitem[CJL20]{CJL20}E.A. Carlen, I. Jauslin, E.H. Lieb - {\it Analysis of a simple equation for the ground state energy of the Bose gas}, Pure and Applied Analysis, volume\-~2, issue\-~3, pages\-~659-684, 2020,\par\penalty10000
doi:{\tt\color{blue}\href{http://dx.doi.org/10.2140/paa.2020.2.659}{10.2140/paa.2020.2.659}}, arxiv:{\tt\color{blue}\href{http://arxiv.org/abs/1912.04987}{1912.04987}}.\par\medskip
 
\bibitem[CJL21]{CJL21}E.A. Carlen, I. Jauslin, E.H. Lieb - {\it Analysis of a Simple Equation for the Ground State of the Bose Gas II: Monotonicity, Convexity, and Condensate Fraction}, SIAM Journal on Mathematical Analysis, volume\-~53, number\-~5, pages\-~5322-5360, 2021,\par\penalty10000
doi:{\tt\color{blue}\href{http://dx.doi.org/10.1137/20M1376820}{10.1137/20M1376820}}, arxiv:{\tt\color{blue}\href{http://arxiv.org/abs/2010.13882}{2010.13882}}.\par\medskip
 
\bibitem[CJe21]{CJe21}E.A. Carlen, I. Jauslin, E.H. Lieb, M.P. Loss - {\it On the Convolution Inequality $f\geqslant f\star f$}, International Mathematics Research Notices, volume\-~2021, number\-~24, pages\-~18604-18612, 2021,\par\penalty10000
doi:{\tt\color{blue}\href{http://dx.doi.org/10.1093/imrn/rnaa350}{10.1093/imrn/rnaa350}}, arxiv:{\tt\color{blue}\href{http://arxiv.org/abs/2002.04184}{2002.04184}}.\par\medskip
 
\bibitem[DMe95]{DMe95}K.B. Davis, M.O. Mewes, M.R. Andrews, N.J. van Druten, D.S. Durfee, D.M. Kurn, W. Ketterle - {\it Bose-Einstein Condensation in a Gas of Sodium Atoms}, Physical Review Letters, volume\-~75, issue\-~22, pages\-~3969-3973, 1995,\par\penalty10000
doi:{\tt\color{blue}\href{http://dx.doi.org/10.1103/PhysRevLett.75.3969}{10.1103/PhysRevLett.75.3969}}.\par\medskip
 
\bibitem[Di49]{Di49}R. Dingle - {\it The zero-point energy of a system of particles}, The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, volume\-~40, number\-~304, pages\-~573-578, 1949,\par\penalty10000
doi:{\tt\color{blue}\href{http://dx.doi.org/10.1080/14786444908521743}{10.1080/14786444908521743}}.\par\medskip
 
\bibitem[Ei24]{Ei24}A. Einstein - {\it Quantentheorie des einatomigen idealen Gases}, Sitzungsberichte der Preussischen Akademie der Wissenschaften, volume\-~1, issue\-~3, 1924.\par\medskip
 
\bibitem[FS20]{FS20}S. Fournais, J.P. Solovej - {\it  The energy of dilute Bose gases}, Annals of Mathematics, volume\-~192, issue\-~3, pages\-~893-976, 2020,\par\penalty10000
doi:{\tt\color{blue}\href{http://dx.doi.org/10.4007/annals.2020.192.3.5}{10.4007/annals.2020.192.3.5}}, arxiv:{\tt\color{blue}\href{http://arxiv.org/abs/1904.06164}{1904.06164}}.\par\medskip
 
\bibitem[FS21]{FS21}S.\-~Fournais, J.P.\-~Solovej - {\it The energy of dilute Bose gases II: The general case}, arXiv preprint, 2021\par\penalty10000
arxiv:{\tt\color{blue}\href{https://arxiv.org/abs/2108.12022}{2108.12022}}.\par\medskip
 
\bibitem[Ja55]{Ja55}R. Jastrow - {\it Many-Body Problem with Strong Forces}, Physical Review, volume\-~98, issue\-~5, pages\-~1479-1484, 1955,\par\penalty10000
doi:{\tt\color{blue}\href{http://dx.doi.org/10.1103/PhysRev.98.1479}{10.1103/PhysRev.98.1479}}.\par\medskip
 
\bibitem[KLS88]{KLS88}T. Kennedy, E.H. Lieb, B.S. Shastry - {\it Existence of N\'eel order in some spin-1/2 Heisenberg antiferromagnets}, Journal of Statistical Physics, volume\-~53, issue\-~5, pages\-~1019-1030, 1988,\par\penalty10000
doi:{\tt\color{blue}\href{http://dx.doi.org/10.1007/BF01023854}{10.1007/BF01023854}}.\par\medskip
 
\bibitem[LHY57]{LHY57}T.D. Lee, K. Huang, C.N. Yang - {\it Eigenvalues and Eigenfunctions of a Bose System of Hard Spheres and Its Low-Temperature Properties}, Physical Review, volume\-~106, issue\-~6, pages\-~1135-1145, 1957,\par\penalty10000
doi:{\tt\color{blue}\href{http://dx.doi.org/10.1103/PhysRev.106.1135}{10.1103/PhysRev.106.1135}}.\par\medskip
 
\bibitem[Li63]{Li63}E.H. Lieb - {\it Simplified Approach to the Ground-State Energy of an Imperfect Bose Gas}, Physical Review, volume\-~130, issue\-~6, pages\-~2518-2528, 1963,\par\penalty10000
doi:{\tt\color{blue}\href{http://dx.doi.org/10.1103/PhysRev.130.2518}{10.1103/PhysRev.130.2518}}.\par\medskip
 
\bibitem[LS02]{LS02}E.H. Lieb, R. Seiringer - {\it Proof of Bose-Einstein Condensation for Dilute Trapped Gases}, Physical Review Letters, volume\-~88, issue\-~17, number\-~170409, 2002,\par\penalty10000
doi:{\tt\color{blue}\href{http://dx.doi.org/10.1103/PhysRevLett.88.170409}{10.1103/PhysRevLett.88.170409}}, arxiv:{\tt\color{blue}\href{http://arxiv.org/abs/math-ph/0112032}{math-ph/0112032}}.\par\medskip
 
\bibitem[LSe05]{LSe05}E.H. Lieb, R. Seiringer, J.P. Solovej, J. Yngvason - {\it The Mathematics of the Bose Gas and its Condensation}, Oberwolfach Seminars, volume\-~34, Birkha\"user, 2005, arxiv:{\tt\color{blue}\href{http://arxiv.org/abs/cond-mat/0610117}{cond-mat/0610117}}.\par\medskip
 
\bibitem[LY98]{LY98}E.H. Lieb, J. Yngvason - {\it Ground State Energy of the Low Density Bose Gas}, Physical Review Letters, volume\-~80, issue\-~12, pages\-~2504-2507, 1998,\par\penalty10000
doi:{\tt\color{blue}\href{http://dx.doi.org/10.1103/PhysRevLett.80.2504}{10.1103/PhysRevLett.80.2504}}, arxiv:{\tt\color{blue}\href{http://arxiv.org/abs/cond-mat/9712138}{cond-mat/9712138}}.\par\medskip
 
\bibitem[Se11]{Se11}R. Seiringer - {\it The Excitation Spectrum for Weakly Interacting Bosons}, Communications in Mathematical Physics, volume\-~306, issue\-~2, pages\-~565-578, 2011,\par\penalty10000
doi:{\tt\color{blue}\href{http://dx.doi.org/10.1007/s00220-011-1261-6}{10.1007/s00220-011-1261-6}}, arxiv:{\tt\color{blue}\href{http://arxiv.org/abs/1008.5349}{1008.5349}}.\par\medskip
 
\bibitem[YY09]{YY09}H. Yau, J. Yin - {\it The Second Order Upper Bound for the Ground Energy of a Bose Gas}, Journal of Statistical Physics, volume\-~136, issue\-~3, pages\-~453-503, 2009,\par\penalty10000
doi:{\tt\color{blue}\href{http://dx.doi.org/10.1007/s10955-009-9792-3}{10.1007/s10955-009-9792-3}}, arxiv:{\tt\color{blue}\href{http://arxiv.org/abs/0903.5347}{0903.5347}}.\par\medskip
 
\bibitem[ss]{ss}{\tt simplesolv} software package v0.3, I.\-~Jauslin,\par\penalty10000
{\tt\color{blue}\href{http://ian.jauslin.org/software/simplesolv}{http://ian.jauslin.org/software/simplesolv}}.\par\medskip