Ammari, Zied; Falconi, Marco Bohr’s correspondence principle for the renormalized Nelson model. (English) Zbl 1394.35383 SIAM J. Math. Anal. 49, No. 6, 5031-5095 (2017). Reviewer: Thomas Ernst (Uppsala) MSC: 35Q40 81T16 81Q20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Eswarathasan, Suresh; Rivière, Gabriel Perturbation of the semiclassical Schrödinger equation on negatively curved surfaces. (English) Zbl 1379.37129 J. Inst. Math. Jussieu 16, No. 4, 787-835 (2017). Reviewer: Alex B. Gaina (Chisinau) MSC: 37K55 81Q20 58J51 81Q50 35Q41 35R01 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hezari, Hamid; Rivière, Gabriel \(L^{p}\) norms, nodal sets, and quantum ergodicity. (English) Zbl 1332.81067 Adv. Math. 290, 938-966 (2016). MSC: 81Q35 81Q05 58J05 35P20 53C17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Taylor, Michael Variations on quantum ergodic theorems. (English) Zbl 1432.58029 Potential Anal. 43, No. 4, 625-651 (2015). MSC: 58J51 35P20 35S05 81Q50 × Cite Format Result Cite Review PDF Full Text: DOI
Rivière, Gabriel Eigenmodes of the damped wave equation and small hyperbolic subsets. (Modes propres de l’équation des ondes amorties et petits sous-ensembles hyperboliques.) (English. French summary) Zbl 1314.58019 Ann. Inst. Fourier 64, No. 3, 1229-1267 (2014). Reviewer: Claude Zuily (Orsay) MSC: 58J51 35P20 81Q12 81Q20 37D20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liard, Quentin; Pawilowski, Boris Mean field limit for bosons with compact kernels interactions by Wigner measures transportation. (English) Zbl 1302.82075 J. Math. Phys. 55, No. 9, 092304, 23 p. (2014). MSC: 82C22 82B30 81V70 81Q05 81S30 35Q40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Galkowski, Jeffrey Quantum ergodicity for a class of mixed systems. (English) Zbl 1290.81037 J. Spectr. Theory 4, No. 1, 65-85 (2014). MSC: 81Q20 37D50 81Q05 81Q10 35J05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ammari, Z.; Nier, F. Mean field propagation of Wigner measures and BBGKY hierarchies for general bosonic states. (English) Zbl 1251.81062 J. Math. Pures Appl. (9) 95, No. 6, 585-626 (2011). MSC: 81S30 81S05 81T10 81Q20 35Q55 37K10 82C10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fermanian Kammerer, Clotilde Two scale analysis of a bounded family in \(L^2\) on a submanifold of the phase space. (Analyse à deux échelles d’une suite bornée de \(L^2\) sur une sous-variété du cotangent.) (French. Abridged English version) Zbl 1067.35083 C. R., Math., Acad. Sci. Paris 340, No. 4, 269-274 (2005). MSC: 35Q40 81Q20 53D50 81S30 × Cite Format Result Cite Review PDF Full Text: DOI
Bouzouina, A.; Robert, D. Uniform semiclassical estimates for the propagation of quantum observables. (English) Zbl 1069.35061 Duke Math. J. 111, No. 2, 223-252 (2002). MSC: 35Q40 35B40 35C20 35J10 81Q20 × Cite Format Result Cite Review PDF Full Text: DOI
Nier, Francis A semi-classical picture of quantum scattering. (English) Zbl 0858.35106 Ann. Sci. Éc. Norm. Supér. (4) 29, No. 2, 149-183 (1996). Reviewer: B.Helffer (Orsay) MSC: 35Q40 81U05 35P25 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Gérard, Patrick; Leichtnam, Eric Ergodic properties of eigenfunctions for the Dirichlet problem. (English) Zbl 0788.35103 Duke Math. J. 71, No. 2, 559-607 (1993). Reviewer: A.Martinez (Villetaneuse) MSC: 35P20 81Q20 58J47 × Cite Format Result Cite Review PDF Full Text: DOI
Charbonnel, A.-M. Comportement semi-classique des systèmes ergodiques. (Quasi-classical behavior of ergodic systems). (French) Zbl 0752.35044 Ann. Inst. Henri Poincaré, Phys. Théor. 56, No. 2, 187-214 (1992). Reviewer: Y.Morimoto (Kyoto) MSC: 35P25 58J50 35S05 81Q20 × Cite Format Result Cite Review PDF Full Text: Numdam EuDML