Works citing   [Proc. Sympos. Pure Math., vol. 77 (2008), 617-636]

1. D. Grieser:
   Thin tubes in mathematical physics, global analysis and spectral geometry,
   Proc. Sympos. Pure Math., vol. 77, pp. 565-593, Amer. Math. Soc., Providence, RI, 2008.
   
   
2. P. Briet, H. Kovarik, G. Raikov and E. Soccorsi:
   Eigenvalue Asymptotics in a Twisted Waveguide,
   Comm. Partial Differential Equations 34 (2009), 818-836.
   
   
3. J. Wachsmuth and S. Teufel:
   Constrained quantum systems as an adiabatic problem,
   Phys. Rev. A 82 (2010), Art. No. 022112.
   
   
4. C. R. de Oliveira and A. A. Verri:
   On the spectrum and weakly effective operator for Dirichlet Laplacian in thin deformed tubes,
   J. Math. Anal. Appl. 381 (2011), 454-468.
   
   
5. V. Jakubsky and M. S. Plyushchay:
   Supersymmetric twisting of carbon nanotubes,
   Phys. Rev. D 85 (2012), Art. No. 045035.
   
   
6. C. R. de Oliveira and A. A. Verri:
   Mathematical predominance of Dirichlet condition for the one-dimensional Coulomb potential,
   J. Math. Phys. 53 (2012), Art. No. 052104.
   
   
7. C. R. de Oliveira and A. A. Verri:
   Asymptotic spectrum for the Dirichlet Laplacian in thin deformed tubes with scaled geometry,
   J. Phys. A: Math. Theor. 45 (2012), Art. No. 435201.
   
   
8. J. Wachsmuth and S. Teufel:
   Effective Hamiltonians for Constrained Quantum Systems,
   Mem. Amer. Math. Soc. 230 (2014), Issue 1083.
   
   
9. C. R. de Oliveira and A. A. Verri:
   Norm resolvent convergence of Dirichlet Laplacian in unbounded thin waveguides,
   Bull. Braz. Math. Soc. 46 (2015), 139-158.
   
   
10. S. Haag, J. Lampart and S. Teufel:
    Generalised Quantum Waveguides,
    Ann. H. Poincare 16 (2015), 2535-2568.
    
    
11. V. A. Vasil'ev and P. S. Chernov:
    Time-dependent simulations of two-dimensional quantum waveguides of arbitrary shape,
    International Conference Days on Diffraction Location: St Petersburg, RUSSIA Date: MAY 25-29, 2015.
    PROCEEDINGS OF THE INTERNATIONAL CONFERENCE DAYS ON DIFFRACTION 2015 (2015), 362-365.
    
    
12. J. von Keller and S. Teufel:
    The NLS Limit for Bosons in a Quantum Waveguide,
    Ann. H. Poincare 17 (2016), 3321-3360.
    
    
13. Ph. Briet and M. Gharsalli:
    Stark resonances in a quantum waveguide with analytic curvature,
    J. Phys. A: Math. Theor. 49 (2016), 495202.
    
    
14. C. R. de Oliveira and A. A. Verri:
    Norm resolvent approximation of thin homogeneous tubes by heterogeneous ones,
    Commun. Contemp. Math. 19 (2017), 1650060.
    
    
15. F. L. Bakharev and P. Exner:
    Geometrically induced spectral effects in tubes with a mixed Dirichlet-Neumann boundary,
    Rep. Math. Phys. 81 (2018), 213-231.
    
    
16. V. Bruneau, P. Miranda and N. Popoff:
    Resonances near thresholds in slightly twisted waveguides,
    Proc. Amer. Math. Soc. 146 (2018), 4801-4812.
    
    
17. D. Barseghyan and A. Khrabustovskyi:
    Spectral estimates for Dirichlet Laplacian on tubes with exploding twisting velocity,
    Oper. Matrices 13 (2019), 311-322.
    
    
18. V. Bruneau, P. Miranda, D. Parra and N. Popoff:
    Eigenvalue and Resonance Asymptotics in Perturbed Periodically Twisted Tubes: Twisting Versus Bending,
    Ann. H. Poincare 21 (2020) 377-403.