Works citing   [Commun. Math. Phys. 223 (2001), pp. 13-28]

1. J. Dittrich and J. Kriz:
   Curved planar quantum wires with Dirichlet and Neumann boundary conditions,
   J. Phys. A 35 (may 2002), L269-L275.
   
   
2. M. K. Kostov, M. W. Cole and G. D. Mahan:
   Variational approach to the Coulomb problem on a cylinder,
   Phys. Rev. B 66 , 7, (aug 2002), art. no. 075407.
   
   
3. O. Olendski and L. Mikhailovska:
   Fano resonances of a curved waveguide with an embedded quantum dot,
   Phys. Rev. B 67 , 3, (jan 2003), art. no. 035310.
   
   
4. O. Olendski and L. Mikhailovska:
   Localized-mode evolution in a curved planar waveguide with combined Dirichlet and Neumann boundary conditions,
   Phys. Rev. E 67 , 5, (may 2003), art. no. 056625, part 2.
   
   
5. I. Veselic:
   Integrated density of states and Wegner estimates for random Schrdinger operators,
   Contemp. Math. 340, AMS, 2004, 97-183.
   
   
6. N. T. Bagraev, A. B. Mikhailova, B. S. Pavlov, L. V. Prokhorov and A. M. Yafyasov:
   Parameter regime of a resonance quantum switch,
   Phys. Rev. B 71 , 16, (apr 2005), art. no. 165308.
   
   
7. D. Gridin D, R. V. Craster and A. T. I. Adamou:
   Trapped modes in curved elastic plates,
   R. Soc. Lond. Proc. Ser. A Math. Phys. Eng. Sci. 461 (apr 2005), 1181-1197.
   
   
8. O. Olendski and L. Mikhailovska:
   Curved quantum waveguides in uniform magnetic fields,
   Phys. Rev. B 72, 23, (Dec 2005), art. no. 235314.
   
   
9. C. Lin and Z. Lu:
   On the discrete spectrum of generalized quantum tubes,
   Comm. Partial Differential Equations 31 (oct 2006), 1529-1546.
   
   
10. C. Lin and Z. Lu:
    Existence of bound states for layers built over hypersurfaces in $R^{n+1}$,
    J. Funct. Anal. 244 (2007), 1-25.
    
    
11. C. Lin and Z. Lu:
    Quantum layers over surfaces ruled outside a compact set,
    J. Math. Phys. 48 (2007), Art. No. 053522.
    
    
12. V. Atanasov and R. Dandoloff:
    Curvature induced quantum potential on deformed surfaces,
    Phys. Lett. A 371 (2007), 118-123.
    
    
13. H. Taira and H. Shima:
    Electronic States in Cylindrical Surfaces with Local Deformation,
    Proceedings of the international conference on nanoscience and technology, Edited by: E. Meyer, M. Hegner, C. Gerber and H. J. Guntherodt;
    Book Series: Journal of Physics Conference Series 61 (2007), 1142-1146.
    
    
14. I. Veselic:
    Existence and regularity properties of the integrated density of states of random Schrodinger operators,
    Lecture Notes in Mathematics, vol. 1917, (2008), 146 p, Springer.
    
    
15. H. Kovarik and S. Vugalter:
    Estimates on trapped modes in deformed quantum layers,
    J. Math. Anal. Appl. 345 (2008), 566-572.
    
    
16. V. Atanasov and R. Dandoloff:
    Curvature-induced quantum behaviour on a helical nanotube,
    Phys. Lett. A 372 (2008), 6141-6144.
    
    
17. R. V. Craster, S. Guenneau and S. D. M. Adams:
    Mechanism for slow waves near cutoff frequencies in periodic waveguides,
    Phys. Rev. B 79 (2009), art. no. 045129.
    
    
18. L. Cardoulis, M. Cristofol and P. Gaitan:
    Inverse problem for the Schrodinger operator in an unbounded strip,
    Journal of Inverse and Ill-Posed Problems 16 (2009), 127-146.
    
    
19. L. Cardoulis and P. Gaitan:
    Simultaneous identification of the diffusion coefficient and the potential for the Schrodinger operator with only one observation,
    Inverse Problems 26 (2010), art. no. 035012.
    
    
20. S. Albeverio, V. A. Geyler, E. N. Grishanov, D. A. Ivanov:
    Point perturbations in constant curvature spaces,
    Int. J. Theor. Phys. 49 (2010), 728-758.
    
    
21. Z. Lu and J. Rowlett:
    On the discrete spectrum of quantum layers,
    J. Math. Phys. 53 (2012), Art. No. 073519.
    
    
22. J. Mao:
    A class of rotationally symmetric quantum layers of dimension 4,
    J. Math. Anal. Appl. 397 (2013), 791-799.
    
    
23. B. T. Kaynak, O. T. Turgut:
    Compact submanifolds supporting singular interactions,
    Ann. Phys. 339 (2013), 266-292.
    
    
24. N. Raymond:
    Breaking a magnetic zero locus: Asymptotic analysis,
    Math. Mod. Meth. Appl. S. 24 (2014), 2785-2817.
    
    
25. B. T. Kaynak and O. T. Turgut:
    Infinitely many singular interactions on noncompact manifolds,
    Ann. Phys. 356 (2015), 426-437.
    
    
26. M. Dauge, T. Ourmieres-Bonafos and N. Raymond:
    Spectral asymptotics of the Dirichlet Laplacian in a conical layer,
    Commun. Pur. Appl. Anal. 14 (2015), 1239-1258.
    
    
27. V. Atanasov:
    Gravity at a Quantum Condensate,
    J. Phys. Soc. Jpn. 14 (2015), 1239-1258.
    
    
28. V. Atanasov:
    Gravitation at the Josephson Junction,
    Adv. Cond. Matter. Phys. (2018), 1618252.
    
    
29. T. Ourmieres-Bonafos and K. Pankrashkin:
    Discrete spectrum of interactions concentrated near conical surfaces,
    Appl. Anal. 97 (2018) 1628-1649.
    
    
30. W. S. Li, J. Zou, K. Y. Lee and X. F. Li:
    Asymmetric trapped modes in a tube waveguide with a bulge,
    Acta Mechanica 229 (2018) 1123-1136.
    
    
31. M. Dauge, Y. Lafranche and T. Ourmieres-Bonafos:
    Dirichlet Spectrum of the Fichera Layer,
    Integral Equations Operator Theory 60 (2018) UNSP 60.
    
    
32. R. Teixeira, E. S. G. Leandro, L. C. B. da Silva:
    Schrodinger formalism for a particle constrained to a surface in R-1(3),
    J. Math. Phys. 60 (2019) 023502.
    
    
33. A. A. Verri:
    Dirichlet Laplacian in a thin twisted strip,
    Int. J. Math. 30 (2019) 1950006.
    
    
34. S. Egger, J. Kerner and K. Pankrashkin:
    Discrete spectrum of Schrodinger operators with potentials concentrated near conical surfaces,
    Lett. Math. Phys. 110 (2020) 945-968.
    
    
35. D. Borisov and G. Cardone:
    Spectra of operator pencils with small PT-symmetric periodic perturbation,
    ESAIM: Control, Optimisation and Calculus of Variations 26 (2020) UNSP 21.