I am currently an independent research fellow and lecturer at the Institute of Mathematics of the University of Zurich financed by an Ambizione Fellowship of the Swiss National Science Foundation. My main research interests are mathematical quantum mechanics and quantum statistical mechanics. More specifically I am applying techniques from Analysis, Functional Analysis and Probability to problems coming from condensed matter and cold atom physics. Currently I am mostly interested in the mathematics of Bose gases at positive temperature. Two other important themes of my work are mathematical aspects of the BCS theory of superconductivity and the physics of the angulon quasi-particle. For more information see my CV
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In the spring term 2023 I give a lecture with the title "Introduction to the statistical mechanics of lattice systems" (2 hrs lecture + 2 hrs exercise group, 6 ECTS) at the Institute of Mathematics of the University of Zurich (UZH). The lecture is indended for Bachelor and Master students in mathematics and physics at UZH and ETH Zurich. As prerequisite you need the basic courses in analysis and linear algebra. An introduction to probability theory is helpful but not required. For more information, please see the course website
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If you are interested in writing a Master thesis in quantum statistical mechanics (from a mathematical point of view) I would be happy if you contact me. As prerequiste you need at least one lecture in one of the following topics: Functional Analysis, PDE, Advanced topics in analysis, Mathematical quantum mechanics, Stability of matter in quantum mechanics or something comparable. A certain background in physics or an interest in physics is helpful.
arXiv:2210.09356 [math-ph]
(2022)arXiv:2203.17204 [math-ph]
arXiv:2105.05623 [math-ph]
(2021), (Accepted for publication in Probability and Mathematical Physics)arXiv:2009.00992 [math-ph]
, doi.org/10.1016/j.jfa.2021.109096
. arXiv:1912.02658 [cond-mat.mes-hall]
, doi.org/10.1063/1.5144759
.arXiv:1910.03372 [math-ph]
, doi.org/10.1017/fms.2020.17
.arXiv:1901.11363 [math-ph]
, doi.org/10.1007/s00205-020-01489-4
. Oberwolfach Report (three page summary)
. arXiv:1809.01204 [cond-mat.quant-gas]
, doi.org/10.1103/PhysRevB.98.224506
.arXiv:1803.05180 [math-ph]
, doi.org/10.1007/s00220-018-3239-0
.arXiv:1705.05162 [cond-mat.quant-gas]
, doi.org/10.1103
, Gizmodo
, Phys.org
, (german) Der Standard
, ProPhysik
.arXiv:1703.04616 [math-ph]
, doi:10.1063/1.4996580
.arXiv:1612.03303 [math-ph]
, doi.org/10.1007
.arXiv:1502.07205 [math-ph]
, doi:10.1007/s11005-015-0787-5
.arXiv:1202.4111 [cond-mat.quant-gas]
, doi:10.1103/PhysRevA.86.013618
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Variational methods in analysis
(Summer term 2022, joint with Dr. Alessandro Olgiati)Advanced topics in analysis
(Summer term 2022, joint with Dr. Alessandro Olgiati) (first half of Variational methods in analysis that could be booked independently by Bachelor students)Mathematical statistical mechanics
(Summer term 2021)The mathematics of dilute quantum gases
(Summer term 2020)I co-organized the summer school “Current Topics in Mathematical Physics” that took place in Zurich from July 19 to July 23 in 2021 (prior to the International Congress on Mathematical Physics in Geneva). More information can be found here
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andreas.deuchert@math.uzh.ch
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