Ph. Briet, G. D. Raikov, E. Soccorsi, Spectral properties of a magnetic quantum Hamiltonian on a strip, Asymptotic Analysis 58 (2008), 127 - 155. 

Cited by:

• 1. P. Miranda, Spectral Properties of Magnetic Quantum Hamiltonians, Ph. D. Thesis, Universidad de Chile, Santiago de Chile, 2011.

  2. H. D. Cornean, S. Fournais, R. L. Frank, B. Helffer, Sharp trace asymptotics for a class of 2D-magnetic operators, Annales de l’institut Fourier, 63 (2013), 2457-2513.

  3. V. Bruneau, N. Popoff, On the ground state energy of the Laplacian with a magnetic field created by a rectilinear current, J. Funct. Anal. 268 (2015), 1277-1307.

  4. P. Exner, H. Kovarık, Quantum Waveguides, Theoretical and Mathematical Physics, Springer, Berlin-New York, 2015.

  5. M. Tusek, On an extension of the Iwatsuka model, J. Phys. A: Math. Theor. 49 (2016), 365205, 13pp. 

  6. V. Bruneau, K. Pankrashkin, N. Popoff, Eigenvalue counting function for Robin Laplacians on conical domains, J. Geom. Anal., 28 (2018), 123-151. 

  7. P. Miranda, N. Popoff, Spectrum of the Iwatsuka Hamiltonian at thresholds, J. Math. Anal. Appl. 460 (2018), 516-545. 

  8.  V. Bruneau, P. Miranda, Threshold singularities of the spectral shift function for a half-plane magnetic Hamiltonian, J. Funct. Anal. 274 (2018),  2499-2531. 

  9. P. Exner, T. Kalvoda, and M. Tušek, A geometric Iwatsuka type effect in quantum layers, Journal of Mathematical Physics 59 (2018), 042105. 

  10. N. Popoff, Magnetic fields and boundary conditions in spectral and asymptotic analysis, Mémoire d’Habilatation à Diriger les Recherches, Université de Bordeaux, 2019.  

  11. M. Dimassi, Semiclassical approximation of the magnetic Schrödinger operator on a strip: dynamics and spectrum, Tunisian J. Math. 2 (2020), 197–215. 

  12. Paul Geniet, Analyse spectrale de quelques opérateurs de Schrödinger magnétiques fibrés, Thèse de doctorat de l'Université de Bordeaux, 2020.  

  13. Ben Sorowen, Estimation of the number of negative eigenvalues of magnetic Schrödinger operators in a strip, Master thesis, Mbarara University of Science and Technology, 2021.

  14. M. Dimassi, T. Watanabe, Schrödinger operator with constant magnetic field and slowly varying perturbation on a multidimensional strip region. in: Spectral and Scattering Theory and Related Topics, RIMS Kôkyûroku 2021.8 (2021) N° 2195, 128-147.  

  15.  Mouez Dimassi, Hawraa Yazbek, Takuya Watanabe, Spectral asymptotics for magnetic Schrödinger operator with slowly varying potential, Osaka Journal of Mathematics,  60 (2023), n° 3, 709-731. 

  16. Igor Y. Popov, A model of charged particle on the flat Möbius strip in a magnetic field, Наносистемы: физика, химия, математика (Nanosystems: Phys. Chem. Math.) 14 (2023) n° 4, 418–420, DOI: 10.17586/2220-8054-2023-14-4-418-420. 

  17. Hawraa YAZBEK, Problèmes de transmission et théorie spectrale (Transmission Problems and Spectral Theory), Ph.D. thesis, Université de Bordeaux, 2023.