Higuchi, Kenta Local scattering matrix for a degenerate avoided-crossing in the non-coupled regime. (English) Zbl 1547.81108 Lett. Math. Phys. 114, No. 3, Paper No. 61, 24 p. (2024). MSC: 81Q15 81Q20 81U20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Faraj, Ali; Jin, Shi The Landau-Zener transition and the surface hopping method for the 2D Dirac equation for graphene. (English) Zbl 1488.35458 Commun. Comput. Phys. 21, No. 2, 313-357 (2017). MSC: 35Q41 37M05 65M70 65Z05 81-08 81Q20 81V99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Fermanian Kammerer, Clotilde; Méhats, Florian A kinetic model for the transport of electrons in a graphene layer. (English) Zbl 1373.81432 J. Comput. Phys. 327, 450-483 (2016). MSC: 81V55 81Q05 82C70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hari, Lysianne Propagation of semiclassical wave packets through avoided eigenvalue crossings in nonlinear Schrödinger equations. (English) Zbl 1342.35336 J. Inst. Math. Jussieu 15, No. 2, 319-365 (2016). Reviewer: Boris A. Malomed (Tel Aviv) MSC: 35Q55 35Q40 × Cite Format Result Cite Review PDF Full Text: DOI
Carles, Rémi; Fermanian-Kammerer, Clotilde A nonlinear Landau-Zener formula. (English) Zbl 1275.81029 J. Stat. Phys. 152, No. 4, 619-656 (2013). MSC: 81Q05 34A34 82B26 81U05 81Q15 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Jin, Shi; Qi, Peng; Zhang, Zhiwen An Eulerian surface hopping method for the Schrödinger equation with conical crossings. (English) Zbl 1219.35202 Multiscale Model. Simul. 9, No. 1, 258-281 (2011). MSC: 35Q40 65M06 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Fermanian Kammerer, Clotilde; Gérard, Patrick A Landau-Zener formula for non-degenerated involutive codimension 3 crossings. (English) Zbl 1049.81029 Ann. Henri Poincaré 4, No. 3, 513-552 (2003). Reviewer: Farruh Mukhamedov (Tashkent) MSC: 81Q20 81Q15 81Q10 35S05 35S10 × Cite Format Result Cite Review PDF Full Text: DOI
Fermanian-Kammerer, Clotilde; Gérard, Patrick Semi-classical measures and eigenvalue crossings. (Mesures semi-classiques et croisement de modes.) (French. English summary) Zbl 0996.35004 Bull. Soc. Math. Fr. 130, No. 1, 123-168 (2002). MSC: 35B27 35Q40 × Cite Format Result Cite Review PDF Full Text: DOI Link
Colin de Verdière, Yves Coupled Schrödinger equations. (Équations de Schrödinger couplées.) (French) Zbl 1061.35532 Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math., Palaiseau 1997-1998, Exp. No. XX, 12 p. (1998). MSC: 35S05 35Q40 35A27 × Cite Format Result Cite Review PDF Full Text: Numdam EuDML
Firica, Gabriel Multilevel Landau-Zener formulae: Adiabatic reduction on a complex path. (English) Zbl 0895.34005 Mat. Fiz. Anal. Geom. 4, No. 3, 360-390 (1997). MSC: 34M05 81Q05 45L05 × Cite Format Result Cite Review PDF
Firica, Gabriel Refined Landau-Zener formulae: Multilevel systems and applications. (English. Abridged French version) Zbl 0888.58082 C. R. Acad. Sci., Paris, Sér. I, Math. 325, No. 4, 449-454 (1997). MSC: 58Z05 81U20 81Q20 × Cite Format Result Cite Review PDF Full Text: DOI
Martin, Ph. A.; Nenciu, G. Semi-classical inelastic \(S\)-matrix for one-dimensional \(N\)-states systems. (English) Zbl 0835.34098 Rev. Math. Phys. 7, No. 2, 193-242 (1995). MSC: 34L40 81U20 × Cite Format Result Cite Review PDF Full Text: DOI
Jakšić, Vojkan; Segert, Jan On the Landau-Zener formula for two-level systems. (English) Zbl 0805.46041 J. Math. Phys. 34, No. 7, 2807-2820 (1993). Reviewer: C.S.Sharma (London) MSC: 46G12 28C20 81Q99 × Cite Format Result Cite Review PDF Full Text: DOI
Jakšić, V.; Segert, J. Exponential approach to the adiabatic limit and the Landau-Zener formula. (English) Zbl 0769.34006 Rev. Math. Phys. 4, No. 4, 529-574 (1992). MSC: 34M99 30D55 45L05 81Q99 × Cite Format Result Cite Review PDF Full Text: DOI
Hagedorn, George A. Proof of the Landau-Zener formula in an adiabatic limit with small eigenvalue gaps. (English) Zbl 0723.35068 Commun. Math. Phys. 136, No. 3, 433-449 (1991). MSC: 35Q40 81Q20 35P99 × Cite Format Result Cite Review PDF Full Text: DOI Euclid