(With J.G. Conlon)
Uniform convergence of the free energy of the classical Heisenberg model
to that of the Gaussian model, J. Stat. Phys., 65,
235-245, 1991 [MathReviews: 92h:82004]
(With J.G. Conlon) Upper
bound on the free energy of the spin 1/2 Heisenberg ferromagnet,
Lett. Math. Phys., 23, 223-231, 1991 [MathReviews: 93b:82012]
(*) Atomic and
molecular structure -a renormalized picture-, in Proceedings of the
10th International Congress on Mathematical physics, K.
Schmüdgen (Ed.), 153-164, Springer Verlag 1992. (Mainly a review
of [7].) [MathReviews: MR1386404]
(With M.B. Ruskai)
Asymptotic neutrality of polyatomic molecules, Schrödinger
Operators, Springer Lecture Notes in Physics 403, E.
Balslev (Ed.), 153-174, Springer Verlag 1992 (Not a review,
contains original material.) [MathReviews: 93i:81305]
Large atoms in large magnetic fields,
Proceedings of Journées EDP, St. Jean de Monts, Ecole
Polytechnique, Palaiseau, 1991 (Review of [17].) [MathReviews: MR1132227]
(With E.H. Lieb) Atoms in
the magnetic field of a neutron star,in Differential equations
with applications to mathematical physics, Mathematics in Science
and engineering, Vol. 192, W.F. Ames, E.M. Harrell and J.V.
Herod (Eds.), 221-237, Academic Press 1993 (Review of [16]
and [17].) [MathReviews: 93m:81165]
(With G.M. Graf) A
correlation estimate with applications to quantum systems with Coulomb
interactions, Rev.
Math. Phys., 6 (No. 5a, Special Issue) 977-997, 1994.
Reprinted in The state of matter a volume dedicated to E. H. Lieb,
Advanced series in mathematical physics, Vol. 20, M. Aizenman
and H. Araki (Eds.), 142-166, World Scientific 1994 [Archive: mp_arc 93-60][MathReviews: 96b:81138]
(*) Quantum
coherent operators, inProceedings of the
International Symposium Coherent States Past, Present, and Future,
D.H. Feng, J.R. Klauder, M.R. Strayer (Eds.), 507-513 World Scientific,
1994 (Review of [9].)
(*) (With E.H. Lieb and J. Yngvason)
Quantum dots, in Differential Equations and Mathematical Physics,
Proceedings of the International Conference, Univ.of Alabama,
Birmingham, March 1994, International Press 1995 (Review of [24].) [Archive: cond-mat/9404099 ] [MathReviews: 2000i:81187
]
An improvement on stability of matter
in mean field theory, in Differential Equations and Mathematical
Physics, Proceedings of the International Conference, Univ.of
Alabama, Birmingham, March 1994, International Press 1995 (Not a review,
contains original material.) [MathReviews: 2000i:82081]
(*) The
size of atoms in Hartree-Fock theory,Partial Differential Equations
and Mathematical Physics, Progress in Nonlinear Differential
Equations and Their Applications, Vol. 21, L. Hörmander
and A. Melin (Eds.), 321-332, Birkhäuser, 1996 (Announcement of
the result in [33].) [MathReviews: 96k:81292
]
(*) Mathematical
results on the structure of large atoms, European Congress of
Mathematics, Vol. II (Budapest, 1996), 211--220, Progr. Math., 169,
Birkhäuser, Basel, 1998. [MathReviews: 99h:81232]
(*) (With L. Erdös) The
kernel of Dirac operators on S3 and R3, in Proceedings of the 1999 international
conference on partial differential equations and mathematical
physics held at the University of Alabama Birmingham. AMS Studies in
Advanced Mathematics, Weikard and Weinstein (Eds.). (Review of
result in [37].) [MathReviews: 2001f:58069]
(*) The
evolution of Fermi's statistical theory of atoms, in
Proceedings of the International Conference Enrico Fermi and the
Universe of Physics, Rome Sept. 29-Oct. 2, 2001, Accademia
Nazionale dei Lincei. On the occasion of the centennial of the Birth
of Enrico Fermi. ISBN 88-8286-032-9 (2003)
(*) (With
W. Spitzer) New coherent states and a new proof of the Scott
correction, In Proceedings of the 2002 international conference on
partial differential equations and mathematical physics held at the
University of Alabama Birmingham. AMS Contemporary Mathematics
series. (Review of [42].) [Archive: math-ph/0210009] [MathReviews: 2004f:81259]
(*) The
Energy of Charged Matter, in the
proceedings of the 14th International Congress on Mathematical
Physics, Lisbon 2003. Ed. J.C. Zambrini, World Scientific 2005,
p. 113-129.
(Mainly a review of [45] and
[49].) [Archive:
math-ph/0404039]
(*) (With Elliott
H. Lieb, Robert
Seiringer, and J.
Yngvason ) The Quantum-mechanical Many Body Problem: The
Bose Gas, In
Mathematical Physics Studies Vol. 27,
Perspectives in Analysis
Essays in Honor of Lennart Carleson's 75th Birthday,
Michael Benedicks, Peter W. Jones, Stanislav Smirnov (Eds.),
p. 97-184
Springer Verlag Berlin Heidelberg 2005
ISBN 3-540-30432-0
(Contains among many other things reviews of [38], [45] and
[49] .) [Archive: math-ph/0405004]
(*) (With Michael
Aizenman, Elliott
H. Lieb, Robert
Seiringer, and J. Yngvason)
Bose-Einstein Condensation as a Quantum Phase Transition in an
Optical Lattice, p. 199-215 in Mathematical Physics of Quantum
Mechanics Lecture notes in physics, eds. J. Asch and
Alain Joye, Springer 2006. Proceedings of QMath9,
Giens, France, Sept. 12--16, 2004 (Review of [46
].) [Archive: cond-mat/0412034]
(*) Mathematical Problems of Large Quantum
Systems, in proceedings of 4th European Congress of
Mathematics, Stockholm, June 27-July 2, 2004, Ed. A. Laptev,
European Mathematical Society, 2005 (p. 669-680)
(*) Stability of Matter,
Encyclopedia of Mathematical Physics, eds. J.-P. Francoise, G.L. Naber and
Tsou S.T. Oxford: Elsevier, 2006 (ISBN 978-0-1251-2666-3), volume 5
pages 8--14.
(With Christian Hainzl and Mathieu
Lewin) The Mean-Field Approximation in Quantum
Electrodynamics. The no-photon case. Comm. Pure and Applied
Math. Vol. LX, 546-596 (2007) [Archive: math-ph/0503075]
(*) (With Elliott H. Lieb
and Robert
Seiringer) Ground-State Energy of a Dilute Fermi Gas, in
Recent Advances in Differential Equations and Mathematical
Physics proceedings of a conference at the Univ. of Birmingham,
2005, Amer. Math. Soc. Contemporary Math. series, N. Chernov,
Y. Karpeshina, I. Knowles, R. Lewis, R. Weikard eds., 412,
239-248, 2006. (Review of [55]) [Archive: math-ph/0507049]
(*) Quantum Coulomb Gases, to appear
in Lecture Notes from CIME Summer School,
Quantum Many Body Systems, August 30 - September 4, 2010 -
Cetraro (CS), [Archive: arXiv:1012.5178]
(With D. Lundholm), Hardy and
Lieb-Thirring inequalities for anyons,
Preprint
2011 [Archive: arXiv:1108.5129]
(*) Book review of Stability of Matter in
Quantum Mechanics, by Elliott H. Lieb and Robert Seiringer,
To appear in Bulletin of the AMS. [Archive: arXiv:1111.0170]
(With L. Erdös,
S. Fournais),
Relativistic Scott correction in self-generated magnetic
fields. To appear in Jour. Math. Phys. [Archive: arXiv:1112.0673]
(*) Thomas Fermi type theories (and
their relation to exact models).
To appear in Encyclopedia of
Applied and Computational Mathematics, Springer