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Lehrveranstaltungen

SS 2013

• Mathematik für Physiker II (Grundvorlesung)
• Oberseminar Mathematische Physik (Oberseminar)
• Variationsrechnung in der Analysis (Proseminar)

Publikationen

R. Frank, C. Hainzl, R. Seiringer, J. P. Solovej

Microscopic derivation of Ginzburg-Landau theory.

J. Amer. Math. Soc. 25 (2012), 667–713.

[ arxiv.org/abs/1102.400 ]

c. Hainzl, B. Schlein

Dynamics of Bose-Einstein condensates of fermion pairs in the low density limit of BCS theory

Preprint, 2012.

[ arxiv.org/1203.2811 ]

C. Hainzl, M. Lewin, C. Sparber

Ground state properties of graphene in Hartree-Fock theory

Preprint, 2012.

[ arxiv.org/1203.5016 ]

P. Gravejat, C. Hainzl, M. Lewin, E. Sere

Construction of the Pauli-Villars-regulated Dirac vacuum in electromagnetic fields

Preprint, 2012.

[ arxiv.org/1204.2893 ]

R. Frank, C. Hainzl, R. Seiringer, J. P. Solovej

Derivation of Ginzburg-Landau theory for a one-dimensional system with contact interaction

Preprint, 2012.

[ arxiv.org/1103.1866 ]

C. Hainzl, R. Seiringer

Low Density Limit of BCS Theory and Bose-Einstein Condensation of Fermion Pairs

Lett. Math. Phys. 100, 2 (2012), 119-138.

[ arxiv.org/1105.1100 ]

A. Freiji, C. Hainzl, R. Seiringer

The gap equation for spin-polarized fermions.

J. Math. Phys. 53 (2012), 012101.

[ The BCS gap equation for spin-polarized fermions ]

F. Finster, C. Hainzl

A spatially homogeneous and isotropic Einstein-Dirac cosmology

J. Math. Phys. 52 (2011), 04251.

C. Hainzl, M. Lewin, E. Lenzmann, B. Schlein

On Blowup for time-dependent generalized Hartree-Fock equations

Ann. Henri Poincare 11, 6 (2010), 1023.

[ HLLS.pdf (406.4 kB) ]

F. Finster, C. Hainzl

Quantum Oscillations Prevent the Big Bang Singularity in an Einstein-Dirac Cosmology

Found. Physics 40, 1 (2010), 116–124.

[ fulltext.pdf (389.9 kB) ]

C. Hainzl

On the Static and Dynamical Collapse of White dwarfs

Contemp. Math. 529 (2010), 177–188.

[ AZ09-hainzl.pdf (183.3 kB) ]

C. Hainzl, R. Seiringer

Asymptotic behavior of eigenvalues of Schrödinger type operators with degenerate kinetic energy

Math. Nachr. 283 (2010), 489.

[ Asymptotic behavior of eigenvalues of Schrödinger type operators with degenerate kinetic energy ]

C. Hainzl, R. Seiringer

A linear criterion for solutions of non-linear equations, with application to the BCS gap equation

Contemp. Math. Spectral and scattering theory for quantum magnetic systems. (2009), 101–104.

[ banach3.pdf (102.0 kB) ]

C. Hainzl, M. Lewin, J. P. Solovej

The thermodynamic limit of quantum Coulomb systems. Part II: Applications

Adv. Math. 221, 2 (2009), 488–546.

[ Coulomb-Part-II.pdf (485.1 kB) ]

C. Hainzl, M. Lewin, J. P. Solovej

The thermodynamic limit of quantum Coulomb systems. Part I: General Theory

Adv. Math. 221, 2 (2009), 454–487.

[ Coulomb-Part-I.pdf (292.2 kB) ]

C. Hainzl, B. Schlein

Stellar Collapse in the time dependent Hartree-Fock approximation

Commun. Math. Phys. 287 , 2 (2009), 705–717.

[ HF8.pdf (198.8 kB) ]

C. Hainzl, M. Lewin, E. Sere

Existence of Atoms and Molecules in the mean-field approximation of No-photon Quantum Electrodynamics.

Arch. Ration. Mech. Anal 192 , 3 (2009), 453–499.

[ bdf-hvz.pdf (430.9 kB) ]

C. Hainzl, R. Seiringer

Critical Temperature and Energy Gap for the BCS Equation

Phys. Rev. B 77 (2008), 184517.

[ HS-energygap.pdf (240.9 kB) ]

C. Hainzl, M. Lewin, R. Seiringer

A non-linear model for relativistic electrons at positive temperature

Rev. Math. Phys. 20 , 10 (2008), 1283–1307.

[ bdf_temp-HLSei.pdf (263.0 kB) ]

C. Hainzl, R. Seiringer

Spectral properties of the BCS gap equation of superfluidity

Mathematical results in quantum mechanics, World Sci. Publ., Hackensack, NJ (2008), 117–136.

[ HS-BCSQmath10.pdf (233.9 kB) ]

C. Hainzl, E. Hamza, R. Seiringer, J. P. Solovej

The BCS functional for general pair interactions

Commun. Math. Phys 281, 2 (2008), 349-367.

[ HHSS.pdf (252.4 kB) ]

C. Hainzl, R. Seiringer

The BCS critical temperature for potentials with negative scattering length

Lett. Math. Phys. 84, 2-3 (2008), 99–107.

[ scattering-length.pdf (180.7 kB) ]

C. Hainzl, M. Lewin, J. P. Solovej

The thermodynamic limit for Quantum Coulomb systems: A new approach,

Mathematical results in quantum mechanics, World Sci. Publ., Hackensack, NJ, (2008), 97–116.

[ thermo_proc.pdf (244.4 kB) ]

R. Frank, C. Hainzl, S. Naboko, R. Seiringer

The critical temperature for the BCS equation at weak coupling

Journal of Geometric Analysis 17, 4 (2007), 549–567 .

[ FHNS-jga.pdf (96.0 kB) ]

C. Hainzl, M. Lewin, J. P. Solovej

Mean-field approximation in Quantum Electrodynamics. The no-photon case

Commun. Pure Appl. Math. 60 (2007), 546–595.

[ meanfieldqed.pdf (340.5 kB) ]

C. Hainzl, M. Lewin, E. Sere, J. P. Solovej

A Minimization Method for Relativistic Electrons in a Mean-Field Approximation of Quantum Electrodynamics

Phys. Rev. A 76 (2007), 052104.

[ PRA-HLSS.pdf (265.5 kB) ]

C. Hainzl, M. Lewin, E. Sere

Existence of a stable polarized vacuum in the Bogoliubov-Dirac-Fock approximation

Commun. Math. Phys 257, 3 (2005), 515–562.

[ vacuum.pdf (344.5 kB) ]

C. Hainzl, M. Hirokawa, H. Spohn

Binding energy for hydrogen-like atoms in the Nelson model

J. Funct. Analysis 220, 2 (2005), 424–459.

[ nelson-hhs.pdf (205.5 kB) ]

C. Hainzl, M. Lewin, E. Sere

Self-consistent solution of the polarized vacuum in a no-photon QED model

. Phys. A: Math. Gen. 38, 20 (2005), 4483–4499.

[ bdfren.pdf (192.2 kB) ]

C. Hainzl, M. Lewin, C. Sparber

Existence of global-in-time solutions to a generalized Dirac-Fock type evolution equation

Lett. Math. Phys. 72, 2 (2005), 99–113.

[ timebdf.pdf (232.9 kB) ]

C. Hainzl

On the Vacuum Polarization Density Caused by an External Field

Ann. Henri Poincare 5, 1137 - 1157 5 (2004), 1137–1157.

[ vacpol-ahp.pdf (246.1 kB) ]

I. Catto, C. Hainzl

Self-energy of one electron in non-relativistic QED

J. Funct. Anal. 207, 1 (2004), 68–110.

[ self.pdf (338.5 kB) ]

I. Catto, P. Exner, C. Hainzl

Enhanced binding revisited for a spinless particle in non-relativistic QED

J. Math. Phys. 45, No. 11, 4174-4185 45, 11 (2004), 4174–4185.

[ enhb-ceh.pdf (155.6 kB) ]

C. Hainzl, V. Vougalter, S. Vugalter

Enhanced binding in non-relativistic QED

Commun. Math. Phys. 233 (2003), 13–26.

[ enhbinding.pdf (227.9 kB) ]

C. Hainzl

One non-relativistic particle coupled to a photon field

Ann. Henri Poincare 5 (2003), 1137–1157.

[ selfenergy.pdf (239.9 kB) ]

C. Hainzl, H. Siedentop

Non-perturbative Mass and Charge Renormalization in Relativistic No-Photon Quantum electrodynamics

Commun. Math. Phys 243 (2003), 241–260.

[ HaSie.pdf (229.6 kB) ]

C. Hainzl

Bounds on one-dimensional exchange energies with application to lowest Landau band quantum mechanics

J. Math. Phys. 43, 3 (2002), 1185–1210.

C. Hainzl, R. Seiringer

General decomposition of radial functions on Rn, and applications to N-body quantum mechanics

Lett. Math. Phys. 61 (2002), 75–84.

[ decom.pdf (127.2 kB) ]

C. Hainzl, R. Seiringer

Mass renormalization and energy level shift in non-relativistic QED

Adv. Theor. Math. Phys. 6 (2002), 847.

[ lambshift.pdf (201.9 kB) ]

C. Hainzl

Enhanced binding through coupling to a photon field

Cont. Math. 307 (2002), 149–154.

C. Hainzl, R. Seiringer

Bounds on one-dimensional exchange energies with application to lowest Landau band quantum mechanics

Lett. Math. Phys. 55 (2001), 133–142.

[ corr.pdf (190.3 kB) ]

C. Hainzl

A discrete density matrix theory for atoms in strong magnetic fields,

J. Math. Phys. 42, 12 (2001), 5596-5625.

C. Hainzl, R. Seiringer,

A discrete density matrix theory for atoms in strong magnetic fields

Commun. Math. Phys 217 (2001), 229–248.

[ ddm.pdf (337.6 kB) ]

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