Jan Philip Solovej: Difference between revisions

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== Selection of publications ==
== Selection of publications ==


* Jan Philip Solovej: ''Proof of the ionization conjecture in a reduced Hartree-Fock Model.'' Inventiones Mathematicae, 104, 1991, pp. 291–311. https://doi.org/10.1007/BF01245077
* {{cite journal | last=Solovej | first=Jan Philip | title=Proof of the ionization conjecture in a reduced Hartree-Fock model | journal=Inventiones mathematicae | publisher=Springer Science and Business Media LLC | volume=104 | issue=1 | year=1991 | issn=0020-9910 | doi=10.1007/bf01245077 | pages=291–311}}
* [[Elliott H. Lieb]], [[Michael Loss]] and Jan Philip Solovej: ''Stability of matter in magnetic fields.'' Physical Review Letters 79, 1995, pp. 985–989. https://doi.org/10.1103/PhysRevLett.75.985
* {{cite journal | last=Lieb | first=Elliott H. | last2=Loss | first2=Michael | last3=Solovej | first3=Jan Philip | title=Stability of Matter in Magnetic Fields | journal=Physical Review Letters | publisher=American Physical Society (APS) | volume=75 | issue=6 | date=7 August 1995 | issn=0031-9007 | doi=10.1103/physrevlett.75.985 | pages=985–989}}
* Jan Philip Solovej: ''The ionization conjecture in Hartree-Fock Theory.'' Annals of Mathematics, 158, 2003, pp. 509–576. https://doi.org/10.4007/annals.2003.158.509
* {{cite journal | last=Solovej | first=Jan | title=The ionization conjecture in Hartree–Fock theory | journal=Annals of Mathematics | publisher=Annals of Mathematics | volume=158 | issue=2 | date=1 September 2003 | issn=0003-486X | doi=10.4007/annals.2003.158.509 | pages=509–576}}
* [[Elliott H. Lieb]], [[Robert Seiringer]], Jan Philip Solovej and [[Jakob Yngvason]]: ''The mathematics of the Bose gas and its condensation.'' Birkhäuser-Verlag, Basel, 2005, pp. viii+208. https://doi.org/10.1007/b137508
* {{cite book | title=Oberwolfach Seminars | chapter=The Mathematics of the Bose Gas and its Condensation | publisher=Birkhäuser-Verlag | publication-place=Basel | year=2005 | isbn=3-7643-7336-9 | doi=10.1007/b137508}}
* Rupert L. Frank, Christian Hainzl, [[Robert Seiringer]] and Jan Philip Solovej: ''Microscopic Derivation of Ginzburg-Landau Theory.'' Journal of the American Mathematical Society, 25, 2012, pp. 667–713. https://doi.org/10.1090/S0894-0347-2012-00735-8
* {{cite journal | last=Frank | first=Rupert L. | last2=Hainzl | first2=Christian | last3=Seiringer | first3=Robert | last4=Solovej | first4=Jan Philip | title=Microscopic derivation of Ginzburg-Landau theory | journal=Journal of the American Mathematical Society | publisher=American Mathematical Society (AMS) | volume=25 | issue=3 | date=1 September 2012 | issn=0894-0347 | doi=10.1090/s0894-0347-2012-00735-8 | pages=667–713}}
* [[Elliott H. Lieb]] and Jan Philip Solovej: ''Proof of an entropy conjecture for Bloch coherent spin states and its generalizations.'' Acta Mathematica, 212, 2014, pp. 379–398. https://doi.org/10.1007/s11511-014-0113-6
* {{cite journal | last=Lieb | first=Elliott H. | last2=Solovej | first2=Jan Philip | title=Proof of an entropy conjecture for Bloch coherent spin states and its generalizations | journal=Acta Mathematica | publisher=International Press of Boston | volume=212 | issue=2 | year=2014 | issn=0001-5962 | doi=10.1007/s11511-014-0113-6 | pages=379–398}}
* Søren Fournais and Jan Philip Solovej: ''The energy of dilute Bose gases.'' Annals of Mathematics, 192 (2020), 893-976. https://doi.org/10.4007/annals.2020.192.3.5
* {{cite journal | last=Fournais | first=Søren | last2=Solovej | first2=Jan Philip | title=The energy of dilute Bose gases | journal=Annals of Mathematics | publisher=Annals of Mathematics | volume=192 | issue=3 | date=1 November 2020 | issn=0003-486X | doi=10.4007/annals.2020.192.3.5}}


== References ==
== References ==

Revision as of 21:34, 23 November 2022

Jan Philip Solovej
Born (1961-06-14) 14 June 1961 (age 62)
Copenhagen, Denmark
NationalityDanish
Alma materUniversity of Copenhagen (Cand. Scient. 1985)
Princeton University (Ph.D. 1989)
AwardsHenri Poincaré Prize (2021)
Scientific career
FieldsMathematics, Physics
InstitutionsUniversity of Copenhagen
Doctoral advisorElliott H. Lieb

Jan Philip Solovej (born 14 June 1961) is a Danish mathematician and mathematical physicist working on the mathematical theory of quantum mechanics. He is a professor at University of Copenhagen.

Biography

Solovej obtained his Ph.D. in 1989 from Princeton University with the thesis on "Universality in the Thomas-Fermi-von Weizsäcker Model of Atoms and Molecules" supervised by Elliott H. Lieb. As a post-doctoral researcher, he went to the University of Michigan in 1989/90 and to the University of Toronto in 1990. In 1991 (and 2003/04) he was a member at the Institute for Advanced Study. From 1991 to 1995, he was Assistant Professor in the Department of Mathematics at Princeton University. From 1995 to 1997, he was a research professor at the University of Aarhus. Since 1997, he has been a professor in the Department of Mathematics at the University of Copenhagen. Since 2016, he has been the Centre leader of VILLUM Centre of Excellence for the Mathematics of Quantum Theory (QMATH).[1]

He is Editor in Chief of Journal of Mathematical Physics (since 2019).[2]

He is married and has two children.

Recognition

Solovej is a member of the Royal Danish Academy of Sciences and Letters[3] (elected 2000) and of the Academia Europaea[4](elected 2020). He was named a Fellow of the American Mathematical Society, in the 2022 class of fellows, "for contributions to the rigorous analysis of quantum systems, particularly many-body systems".[5]

In 2021, he received the Henri Poincaré Prize from the International Association of Mathematical Physics. In 2022, he will give an invited talk at the International Congress of Mathematicians (ICM) in St Petersburg. He was an invited speaker at the 2nd European Congress of Mathematics (1996) in Budapest (Mathematical results on the structure of large atoms) and again at the 4th European Congress of Mathematics (2004) in Stockholm (Mathematical problems of large quantum systems).[6] He was a plenary speaker at the International Congress on Mathematical Physics in 1991, 2003 and 2021.[7]

Works

Solovej deals with mathematical questions in atomic physics (large atoms and molecules in the Thomas-Fermi model and the Hartree-Fock method), solid-state physics (the Bose-Einstein condensate, Bogoliubov transformation, quantum dot, Heisenberg model and others) and in many-body quantum mechanics (the stability of matter, the Lieb-Thirring inequality and others). He is co-author, together with Elliott H. Lieb, Robert Seiringer, and Jakob Yngvason, of a monograph on the mathematics of the Bose gas.

In 1995, with Elliott H. Lieb and Michael Loss, he proved the stability of matter in magnetic fields.

In 2003, he established the ionization conjecture for atoms within the Hartree-Fock theory, namely the excess charge, the ionization energy and the radius of an atom are uniformly bounded independently of the nuclear charge. Related questions for many-body Schrödinger equation remain open, which are Problems 9, 10, 11 of the Simon problems on Schrödinger operators.

In 2012, with Rupert L. Frank, Christian Hainzl and Robert Seiringer, he derived the Ginzburg-Landau theory from the BCS theory.

In 2014, with Elliott H. Lieb, he proved Wehrl's conjecture on the mininimum entropy of quantum spin systems.

In 2020, with Søren Fournais, he proved the Lee-Huang-Yang conjecture on the ground state energy of dilute Bose gases.

Selection of publications

  • Solovej, Jan Philip (1991). "Proof of the ionization conjecture in a reduced Hartree-Fock model". Inventiones mathematicae. 104 (1). Springer Science and Business Media LLC: 291–311. doi:10.1007/bf01245077. ISSN 0020-9910.
  • Lieb, Elliott H.; Loss, Michael; Solovej, Jan Philip (7 August 1995). "Stability of Matter in Magnetic Fields". Physical Review Letters. 75 (6). American Physical Society (APS): 985–989. doi:10.1103/physrevlett.75.985. ISSN 0031-9007.
  • Solovej, Jan (1 September 2003). "The ionization conjecture in Hartree–Fock theory". Annals of Mathematics. 158 (2). Annals of Mathematics: 509–576. doi:10.4007/annals.2003.158.509. ISSN 0003-486X.
  • "The Mathematics of the Bose Gas and its Condensation". Oberwolfach Seminars. Basel: Birkhäuser-Verlag. 2005. doi:10.1007/b137508. ISBN 3-7643-7336-9.
  • Frank, Rupert L.; Hainzl, Christian; Seiringer, Robert; Solovej, Jan Philip (1 September 2012). "Microscopic derivation of Ginzburg-Landau theory". Journal of the American Mathematical Society. 25 (3). American Mathematical Society (AMS): 667–713. doi:10.1090/s0894-0347-2012-00735-8. ISSN 0894-0347.
  • Lieb, Elliott H.; Solovej, Jan Philip (2014). "Proof of an entropy conjecture for Bloch coherent spin states and its generalizations". Acta Mathematica. 212 (2). International Press of Boston: 379–398. doi:10.1007/s11511-014-0113-6. ISSN 0001-5962.
  • Fournais, Søren; Solovej, Jan Philip (1 November 2020). "The energy of dilute Bose gases". Annals of Mathematics. 192 (3). Annals of Mathematics. doi:10.4007/annals.2020.192.3.5. ISSN 0003-486X.

References

  1. ^ "Jan Philip Solovej". Department of Mathematics, University of Copenhagen. 13 May 2013.
  2. ^ "Editorial Board". Journal of Mathematical Physics.
  3. ^ "Jan Philip Solovej". The Royal Danish Academy of Sciences and Letters.
  4. ^ "Jan Philip Solovej". Academy of Europe.
  5. ^ "2022 Class of Fellows of the AMS". American Mathematical Society. Retrieved 5 November 2021.
  6. ^ "ECM04". European Congress of Mathematics 2004.
  7. ^ "ICMP 2021". International Congress on Mathematical Physics 2021.

External links


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