Preprints.

24. Th. Jecko, C. Noûs. Regularity of the (N-1)-particle electronic reduced density matrix for molecules with fixed nuclei and N electrons.

(.pdf), preprint, July 2024, available on HAL : hal-04634495, available on arXiv: arXiv:2407.03706.

23. Th. Jecko, C. Noûs. Limited regularity of a specific electronic reduced density matrix for molecules.

(.pdf), preprint, September 2023, available on HAL : hal-04197687, available on arXiv: arXiv:2309.06318.

To appear in Adv. Theor. and Math. Physics.

22. Th. Jecko, C. Noûs. On the analyticity of electronic reduced densities for molecules.

(.pdf), preprint, April 2021. Available on ArXiv: arXiv:2104.14181", version 2: (.pdf)

published in J. Math. Phys. 63, 013509 (2022).
C. Noûs, as co-autor of this paper, was refused by the journal.

21. Th. Jecko. On Schrödinger and Dirac operators with an oscillating potential.

(.pdf), preprint, April 2018. Available on arXiv: arXiv:1905.07156.

published in Revue roumaine de mathématiques pures et appliquées, vol. LXIV (2019), n° 2-3.

20. Th. Jecko, A. Mbarek. Limiting absorption principle for Schrödinger operators with oscillating potential.

(.pdf), preprint, October 2016. Available on arXiv: arXiv:1610.04369.

published in Document Mathematica 22 (2017), 727-776. Paper.

19. Th. Jecko, B. T. Sutcliffe, R. G. Woolley. On Factorization of molecular wavefunctions.

(.pdf), preprint, June 2015. Available on arXiv: arXiv:1506.00103,

published in J. Phys. A: Math. Theor. 48, (2015), 445201 (20pp). Paper.

18. M. D. Esposti, Th. Jecko, A. Knauf, M. Seri. Resonances in the two-centers Coulomb systems.

(.pdf), preprint, September 2014, available on arXiv: arXiv:1409.5580 ,

published in Reviews Math. Phys., Vol. 28 , No. 7 , 1650016 (August 2016), (55 pp.).

17. Th. Jecko, B. T. Sutcliffe, R. G. Woolley. Comment on 'The exact molecular wave function as a product of an electonic and nuclear wavefunction' [J. Chem.Phys. 138, 224110, (2013)].

(.pdf), preprint, April 2014.

16. Th. Jecko. On the mathematical treatment of the Born-Oppenheimer approximation.

(.pdf), preprint, March 2013, available on arXiv: arXiv:1303.5833, on HAL: hal-00803621,

published in J. Math. Phys. 55, 053504 (2014).

15. S. Golénia, Th. Jecko. Rescaled Mourre's commutator theory, application to Schrödinger operators with oscillating potential.

(.pdf) preprint, December 2010, available on arXiv: arXiv:1012.0705, on HAL: hal-00542694,

published in Journal of Operator Theory, Vol. 70, Issue 1, Summer 2013, pp 109-144.

14. Th. Jecko. A new proof of the analyticity of the electronic density of molecules.

(.pdf). Available on arXiv: arXiv:0904.0221 , on HAL : hal-00372603,

published in Letters in Mathematical Physics 93, nb. 1, pp. 73-83 (2010).
The original publication is available at " www.springerlink.com ".

See this page on the website of Letters in Mathematical Physics.

13. Th. Duyckaerts, C. Fermanian Kammerer, Th. Jecko. Degenerated codimension 1 crossings and resolvent estimates.

(.ps) (.pdf). Available on arXiv: arXiv:0811.2103, on HAL: hal-00338331,

published in Asymptotic Analysis, Vol. 65, N. 3-4, pp. 147-174, 2009.

12. F. Castella, Th. Jecko, A. Knauf. Semiclassical resolvent estimates for Schrödinger operators with Coulomb singularities.

(.ps) (.pdf) new version of the preprint of the IRMAR no 05-07, january 2007. Available on arXiv: math.FA/0702009,

published in Annales Henri Poincaré 9, n. 4 (2008), p. 775-815.

11. S. Golénia, Th. Jecko. A new look at Mourre's commutator theory.

(.ps) (.pdf) preprint, april 2006, availlable on arXiv at math.SP/0607275,

published in Complex Analysis and Operator Theory, Vol. 1, No. 3, p. 399-422, August 2007.

10. F. Castella, Th. Jecko. Besov estimates in the high-frequency Helmholtz equation, for a non-trapping and C² potential.

(.pdf) preprint, april 2005,

published in J. Diff. Eq., vol. 228, issue 2, p. 440-485, sept. 2006.

9. Th. Jecko. Non-trapping condition for semiclassical Schrödinger operators with matrix-valued potentials.

New version (nov. 2004) (.ps) (.pdf) of the preprint 04-18, University of Rennes I, march 2004, (.ps) (.pdf).

published in Math. Phys. Electronic Journal, No. 2, vol. 11, 2005: (.ps) (.pdf).

Erratum : (.ps)(.pdf), published in Math. Phys. Electronic Journal, No. 3, vol. 13, 2007: (.ps)(.pdf).

8. Th. Jecko. From classical to semiclassical non-trapping behaviour: a new proof.

Preprint 02-39, University of Rennes I, september 2002. (.ps) (.pdf).

published in C.R. Acad. Sci. Paris, Série I 338 (2004) 545-548.

7. Th. Jecko. Semiclassical resolvent estimates for Schrödinger matrix operators with eigenvalues crossing.

Preprint 01-42, University of Rennes I, september 2001. (.ps) (.pdf).

published in Math. Nachr. 257, 1, p. 36-54, 2003.

6. Th. Jecko, J.C. Léger. Polygon shortening makes (most) quadrilaterals circular.

(.ps) (.pdf).

published in Bull. Korean Math. Soc. 39, 1, p. 97-111, 2002.

5. V. Bach, Th. Jecko, J. Sjöstrand. Correlations asymtotics of classical lattice spin systems with nonconvex Hamilton function at low temperature.

(.ps) (.pdf).

published in Ann. H. Poincaré 1, p. 59-100, 2000.

4. Th. Jecko. Approximation de Born-Oppenheimer de sections efficaces totales diatomiques.

(.ps) (.pdf).

published in Asympt. Ana. 24, p. 1-35, 2000.

3. Th. Jecko, M. Klein, X.P. Wang.. Existence and Born-Oppenheimer asymptotics of the

total scattering cross-section in ion-atom collisions.

(.ps) (.pdf).

published in "Long time behaviour of classical and quantum systems", proceedings of the
Bologna AP-TEX international conference,
sept. 1999, edited by A. Martinez and S. Graffi.

2. Th. Jecko. Estimations de la résolvante pour une molécule diatomique dans l'approximation de Born-Oppenheimer.

(.ps) (.pdf).

published in Comm. Math. Phys. 195, 585-612, 1998.

1. Th. Jecko. Classical limit of elastic scattering operator of a diatomic molecule in the Born-Oppenheimer approximation.

(.ps) (.pdf).

published in Ann. Inst. H. Poincaré, vol. 69, 1, p. 83-131, 1998.