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The European Physical Journal B, ISSN 1434-6028, 5/2017, Volume 90, Issue 5, pp. 1 - 5
... of superconductivity Christian Hainzl 1,a and Michael Loss 2 1 Mathematisches Institut, Universit¨ at T¨ ubingen, Auf der Morgenstelle 10, 72076 T¨ ubingen, Germany 2 School... 
Condensed Matter Physics | Solid State Physics | Fluid- and Aerodynamics | Complex Systems | Solid State and Materials | Physics, general | Physics | PHYSICS, CONDENSED MATTER | Football (College) | Superconductors | Analysis | Physics - Superconductivity
Journal Article
The European Physical Journal B, ISSN 1434-6028, 5/2016, Volume 89, Issue 5, pp. 1 - 10
...-Gennes equations to their linear approximation: a numerical investigation Christian Hainzl and Jonathan Seyrich a Mathematisches Institut, Universit¨ at T¨ ubingen... 
Condensed Matter Physics | Solid State Physics | Fluid- and Aerodynamics | Computational Methods | Physics, general | Statistical Physics, Dynamical Systems and Complexity | Physics | WEAK | QUANTUM MOLECULAR-DYNAMICS | PHYSICS, CONDENSED MATTER | SUPERCONDUCTIVITY | GINZBURG-LANDAU THEORY | SCHRODINGER-EQUATION | CONDENSATION | MICROSCOPIC DERIVATION
Journal Article
PloS one, ISSN 1932-6203, 2011, Volume 6, Issue 2, p. e17278
... Kitzmuller 5 , Barbara Bohle 5 , Christian G. Huber 3 , Fatima Ferreira 1 Introduction The development of a novel vaccine is a highly complex and demanding process... 
BIRCH POLLEN ALLERGEN | LYSOSOMAL PROTEOLYSIS | IMMUNE-RESPONSE | ISOFORMS | IMMUNOTHERAPY | IN-VIVO | BIOLOGY | ANTIGEN PRESENTATION | PROTEASES | EPITOPES | VACCINES | Cell Line | Dendritic Cells - immunology | Humans | Mice, Inbred C57BL | Antibody Formation - physiology | Protein Processing, Post-Translational - physiology | Proteins - immunology | Mice, Knockout | Genes, p53 | Animals | Lysosomes - metabolism | Proteins - metabolism | Vaccines - biosynthesis | Bone Marrow Cells - immunology | Mice | Mice, Inbred BALB C | Protein Processing, Post-Translational - immunology | Lysosomes - immunology | Bone Marrow Cells - metabolism | Dendritic Cells - metabolism | Animal experimentation | Antigens | Medical research | Allergy | Immune response | Dendritic cells | Vaccines | Ribonuclease | T cells | Allergic reaction | Proteases | Proteolysis | Medicine, Experimental | Mass spectrometry | Peptides | Laboratories | Lymphocytes T | Allergic diseases | Assaying | Experiments | Degradation | Proteins | Protein composition | Immunology | Lymphocytes | Immunotherapy | Bone marrow | Bone composition | Antigen presentation | Bet v 1 antigen | Gel electrophoresis | Medical treatment | Hypersensitivity | Mass spectroscopy | Priming | T cell receptors | Allergies | Immunogenicity | Ligands | Kinetics | Molecular biology | In vitro methods and tests | Dendritic structure
Journal Article
Journal of the American Mathematical Society, ISSN 0894-0347, 09/2012, Volume 25, Issue 3, pp. 667 - 713
We give the first rigorous derivation of the celebrated Ginzburg-Landau (GL) theory, starting from the microscopic Bardeen-Cooper-Schrieffer (BCS) model. Close... 
Integrands | Logical proofs | Superconductivity | Cubes | Ground state | Eigenfunctions | Mathematics | Mathematical functions | Critical temperature | BCS theory | MATHEMATICS | CRITICAL-TEMPERATURE | SUPERCONDUCTIVITY
Journal Article
Journal of Functional Analysis, ISSN 0022-1236, 08/2013, Volume 265, Issue 3, pp. 399 - 423
We show that the time evolution of the wave function describing the macroscopic variations of the pair density in BCS theory can be approximated, in the dilute... 
BEC–BCS crossover | Gross–Pitaevskii equation | Time-dependent BCS theory | Gross-Pitaevskii equation | BEC-BCS crossover | WEAK | MATHEMATICS | SUPERCONDUCTIVITY | TEMPERATURE | GINZBURG-LANDAU THEORY | CROSSOVER
Journal Article
Communications on pure and applied mathematics, ISSN 0010-3640, 2015, Volume 68, Issue 10, pp. 1845 - 1884
We present a new, simpler proof of the unconditional uniqueness of solutions to the cubic Gross‐Pitaevskii hierarchy in ℝ3. One of the main tools in our... 
RIGOROUS DERIVATION | MATHEMATICS | MATHEMATICS, APPLIED | MEAN-FIELD-LIMIT | CLASSICAL-LIMIT | DYNAMICS | NONLINEAR SCHRODINGER-EQUATION | GLOBAL WELL-POSEDNESS | BOSE-EINSTEIN CONDENSATION | BOSONS
Journal Article
Archive for Rational Mechanics and Analysis, ISSN 0003-9527, 5/2013, Volume 208, Issue 2, pp. 603 - 665
Journal Article
Reviews in Mathematical Physics, ISSN 0129-055X, 08/2014, Volume 26, Issue 7, p. 1450012
We study translation-invariant quasi-free states for a system of fermions with two-particle interactions. The associated energy functional is similar to the... 
critical temperature | BCS functional | Birman-Schwinger principle | quasi-free states | Superconductivity | WEAK | MODEL | FOCK-BOGOLIUBOV THEORY | CRITICAL-TEMPERATURE | PHYSICS, MATHEMATICAL | Football (College)
Journal Article
Communications in Mathematical Physics, ISSN 0010-3616, 2/2016, Volume 342, Issue 1, pp. 189 - 216
... Dependence of the BCS Critical T emperature Rupert L. Frank 1 , Christian Hainzl 2 , Robert Seiringer 3 , Jan Philip Solovej 4 1 Mathematics 253-37, Caltech, Pasadena... 
Quantum Physics | Statistical Physics, Dynamical Systems and Complexity | Mathematical Physics | Classical and Quantum Gravitation, Relativity Theory | Theoretical, Mathematical and Computational Physics | Physics | SUPERCONDUCTIVITY | MODEL | PHYSICS, MATHEMATICAL | MICROSCOPIC DERIVATION | Football (College)
Journal Article
Letters in Mathematical Physics, ISSN 0377-9017, 5/2012, Volume 100, Issue 2, pp. 119 - 138
Journal Article
Archive for Rational Mechanics and Analysis, ISSN 0003-9527, 6/2009, Volume 192, Issue 3, pp. 453 - 499
Journal Article
Letters in Mathematical Physics, ISSN 0377-9017, 10/2015, Volume 105, Issue 10, pp. 1449 - 1466
...Lett Math Phys (2015) 105:1449–1466 DOI 10.1007/s11005-015-0787-5 Note on a Family of Monotone Quantum Relative Entropies ANDREAS DEUCHERT 1 , CHRISTIAN HAINZL... 
Geometry | 46N50 | 81Q99 | Theoretical, Mathematical and Computational Physics | relative entropy | 47A99 | Group Theory and Generalizations | operator monotonicity | Statistical Physics, Dynamical Systems and Complexity | Physics | PHYSICS, MATHEMATICAL
Journal Article
Letters in Mathematical Physics, ISSN 0377-9017, 7/2016, Volume 106, Issue 7, pp. 913 - 923
.... FRANK 1 , CHRISTIAN HAINZL 2 , BENJAMIN SCHLEIN 3 and ROBERT SEIRINGER 4 1 2 Mathematics 253-37, Caltech, Pasadena, CA 91125, USA. Mathematisches Institut... 
Geometry | critical temperature | 46N50 | superconductivity | Theoretical, Mathematical and Computational Physics | 82D50 | Group Theory and Generalizations | Statistical Physics, Dynamical Systems and Complexity | quasi-free states | Physics | BCS theory | WEAK | FERMION PAIRS | LOW-DENSITY LIMIT | DYNAMICS | CONDENSATION | CRITICAL-TEMPERATURE | PHYSICS, MATHEMATICAL
Journal Article
Oberwolfach Reports, ISSN 1660-8933, 2016, Volume 13, Issue 3, pp. 2465 - 2511
In the last years, substantial progress has been made in many areas of mathematical physics. The goal of this workshop was to bring together researchers... 
Partial differential equations | Quantum theory | Statistical mechanics, structure of matter
Journal Article
Journal of Mathematical Physics, ISSN 0022-2488, 09/2012, Volume 53, Issue 9, p. 95220
Journal Article
Physical Review B - Condensed Matter and Materials Physics, ISSN 1098-0121, 05/2008, Volume 77, Issue 18
We derive upper and lower bounds on the critical temperature T-c and the energy gap Xi (at zero temperature) for the BCS gap equation, describing spin-1/2... 
WEAK | PHYSICS, CONDENSED MATTER | PHYSICS, APPLIED | MATERIALS SCIENCE, MULTIDISCIPLINARY | SPIN | CRITICAL TEMPERATURE | EQUATIONS | FERMIONS | CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY | POTENTIALS | COUPLING | INTERACTIONS | ENERGY GAP | TWO-BODY PROBLEM | SCATTERING LENGTHS | TEMPERATURE ZERO K | BCS THEORY
Journal Article
Mathematical Physics, Analysis and Geometry, ISSN 1385-0172, 6/2016, Volume 19, Issue 2, pp. 1 - 27
... Gerhard Br¨ aunlich 1 · Christian Hainzl 2 · Robert Seiringer 3 Received: 25 November 2015 / Accepted: 3 January 2016 / Published online: 8 June 2016 © The Author... 
Low density limit | Theoretical, Mathematical and Computational Physics | 82D50 | BCS-theory | Physics | Geometry | 46N50 | Bogolubov-Hartree-Fock functional | Analysis | Group Theory and Generalizations | Gross-Pitaevskii functional | Applications of Mathematics | 81Q10 | Pairing | Bose-Einstein condensation | WEAK | MATHEMATICS, APPLIED | BCS | TEMPERATURE | CONDENSATION | PHYSICS, MATHEMATICAL
Journal Article