C 0 -groups, commutator methods and spectral theory of N -body hamiltonians, Amrein and M. B. Cibils, Global and Eisenbud-Wigner time delay in scattering theory, Helv. Phys. Acta, pp.481-500, 1987. ,
Configuration space properties of the S-matrix and time delay in potential scattering, Ann. Inst. Henri Poincaré, pp.47-367, 1987. ,
Sobolev spaces Scattering theory in quantum mechanics, 1975. ,
Non-relativistic quantum dynamics, Math. Phys. Studies, vol.2, 1981. ,
DOI : 10.1007/978-94-010-0316-2
Applied functional analysis Locating the spectrum for magnetic SchrödingerSchr¨Schrödinger and Dirac operators, Pure and Applied Mathematics Comm. Partial Differential Equations, vol.27, pp.1079-1101, 2000. ,
Bound States in Weakly Deformed Strips and Layers, Annales Henri Poincar??, vol.2, issue.3, pp.553-572, 2001. ,
DOI : 10.1007/PL00001045
URL : http://arxiv.org/abs/math-ph/0011052
Spectral analysis of the acoustic propagator in a multistratified domain, J. Math. Anal. Appl, vol.225, pp.440-460, 1998. ,
Graded C * -algebras and manybody perturbation theory : II. The Mourre estimate, Astérisque, vol.210, pp.75-96, 1992. ,
LOCALLY SMOOTH OPERATORS AND THE LIMITING ABSORPTION PRINCIPLE FOR N-BODY HAMILTONIANS, Reviews in Mathematical Physics, vol.05, issue.01, pp.105-189, 1993. ,
DOI : 10.1142/S0129055X93000048
Weakly coupled bound states in quantum waveguides, Proc. Amer, pp.1487-1495, 1997. ,
Higher order estimates in the conjugate operator theory, preprint on mp arc, pp.97-428 ,
???body scattering, Journal of Mathematical Physics, vol.20, issue.6, pp.1121-1134, 1979. ,
DOI : 10.1063/1.524164
A distinguished self-adjoint extension for the Dirac operator with strong local singularities and arbitrary behaviour at infinity, Rep, Math. Phys, vol.34, pp.351-360, 1994. ,
The periodic Dirac operator is absolutely continuous, Integral Equations and Operator Theory, vol.33, issue.no. 1, pp.377-395, 1999. ,
DOI : 10.1007/BF01272881
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.53.5378
Geometrically induced discrete spectrum in curved tubes, preprint on math, p.412132 ,
DOI : 10.1016/j.difgeo.2005.05.001
URL : http://doi.org/10.1016/j.difgeo.2005.05.001
SchrödingerSchr¨Schrödinger operators with applications to quantum mechanics and global geometry, 1987. ,
Schrödinger and Dirac operators with singular potentials and hyperbolic equations, Pacific J. Math, vol.72, pp.361-382, 1977. ,
A spectral theory for direct integrals of operators, Math. Ann. Phys, vol.188, pp.285-303, 1970. ,
On the spectrum of the two-dimensional periodic Dirac operator, Theo. and Math, Physics, vol.118, pp.1-11, 1999. ,
Spectral theory and differential operators, Cambridge Studies in Advanced Mathematics, vol.42, 1995. ,
Spectral analysis of an acoustic multistratified perturbed cylinder, Commun. in Partial Differential Equations, vol.23, pp.141-169, 1998. ,
CURVATURE-INDUCED BOUND STATES IN QUANTUM WAVEGUIDES IN TWO AND THREE DIMENSIONS, Reviews in Mathematical Physics, vol.07, issue.01, pp.73-102, 1995. ,
DOI : 10.1142/S0129055X95000062
Exponential bounds on curvature-induced resonances in two-dimensional Dirichlet tube, Helv. Phys, Acta, vol.71, pp.133-162, 1998. ,
Curvature-induced resonances in a twodimensional Dirichlet tube, Ann. Inst. H. Poincaré, vol.62, pp.81-101, 1995. ,
A lower bound to the spectral threshold in curved tubes, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.460, issue.2052, pp.460-3457, 2004. ,
DOI : 10.1098/rspa.2004.1356
Bound states in curved quantum waveguides, Journal of Mathematical Physics, vol.30, issue.11, pp.2574-2580, 1989. ,
DOI : 10.1063/1.528538
Bound states in a locally deformed waveguide : The critical case, Letters in Mathematical Physics, vol.39, issue.1, pp.59-68, 1997. ,
DOI : 10.1023/A:1007373212722
On the Virial Theorem in Quantum Mechanics, Communications in Mathematical Physics, vol.208, issue.2, pp.275-281, 1999. ,
DOI : 10.1007/s002200050758
Bound states in twisting tubes, Physical Review B, vol.45, issue.24, pp.14100-14107, 1992. ,
DOI : 10.1103/PhysRevB.45.14100
Finitude des lacunes dans le spectre de l???op??rateur de Schr??dinger et de celui de Dirac avec des potentiels electrique et magn??tique p??riodiques, Journal of Mathematics of Kyoto University, vol.33, issue.4, pp.1071-1096, 1993. ,
DOI : 10.1215/kjm/1250519130
URL : http://projecteuclid.org/download/pdf_1/euclid.kjm/1250519130
On the spectral theory of singular Dirac type hamiltonians, J. Operator Theory, vol.46, pp.289-321, 2001. ,
Effet Zeeman pour unélectronun´unélectron de Dirac, Ann. Inst. Henri Poincaré, vol.58, pp.105-123, 1993. ,
Sur le spectre de l'´ equation de Dirac (dans R 2 ou R 3 ) avec champ magnétique, Ann. scient. ´ Ec. Norm. Sup, pp.22-515, 1989. ,
DOI : 10.24033/asens.1591
URL : http://archive.numdam.org/article/ASENS_1989_4_22_4_515_0.pdf
Mathematical physics of quantum wires and devices, 2000. ,
Time-delay in potential scattering theory, Commun. Math. Phys, vol.82, pp.435-456, 1981. ,
Mapping properties of wave and scattering operators for two-body Schr???dinger operators, Letters in Mathematical Physics, vol.81, issue.4, pp.295-305, 1992. ,
DOI : 10.1007/BF00420489
Time-delay in scattering processes, Helv. Phys. Acta, vol.45, pp.398-426, 1972. ,
Perturbation theory for linear operators, 1995. ,
On the spectrum of curved quantum waveguides, preprint on math-ph, p.306008 ,
A course in differential geometry, 1978. ,
Fundamentals of the theory of operator algebras II, 1986. ,
DOI : 10.1090/gsm/016
Quantum strips on surfaces, J. Geom. Phys, vol.45, pp.203-217, 2003. ,
The nature of the essential spectrum in curved quantum waveguides, Journal of Physics A: Mathematical and General, vol.37, issue.20, pp.5449-5466, 2004. ,
DOI : 10.1088/0305-4470/37/20/013
Scattering theory for differential operators, I, operator theory, J. Math. Soc. Japan, vol.25, pp.75-104, 1973. ,
Absolute continuity of positive spectrum for SchrödingerSchr¨Schrödinger operators with long-range potentials, J. Funct. Anal, pp.12-30, 1973. ,
Binding and scattering in two-dimensional systems, LNP, vol.60, 1999. ,
Sur Une Classe D???Espaces D???Interpolation, Publications math??matiques de l'IH??S, vol.XIV, issue.1, pp.5-68, 1964. ,
DOI : 10.1007/BF02684796
Scattering theory with dissipative interactions and time delay, Nuovo Cimento B, vol.30, pp.217-238, 1975. ,
Absence of singular continuous spectrum for certain self-adjoint operators, Communications in Mathematical Physics, vol.46, issue.3, pp.391-408, 1981. ,
DOI : 10.1007/BF01942331
Perturbations of magnetic SchrödingerSchr¨Schrödinger operators, Letters in Mathematical Physics, vol.54, issue.3, pp.181-192, 2000. ,
DOI : 10.1023/A:1010933504909
Commutation properties of Hilbert space operators and related topics, 1967. ,
Existence of bound states in quantum waveguides under weak conditions, Letters in Mathematical Physics, vol.45, issue.1, pp.1-12, 1995. ,
DOI : 10.1007/BF00739151
Commutator methods in spectral and scattering theory, 2004. ,
Methods of modern mathematical physics, I?IV, pp.1972-1978 ,
Lifetime matrix in collision theory, Phys. Rev, vol.118, pp.349-356, 1960. ,
Curvilinear Optical Fibre Waveguide: Characterization of Bound Modes and Radiative Field, Proc. R. Soc. Lond. A 425, pp.1-16, 1989. ,
DOI : 10.1098/rspa.1989.0096
The Dirac equation, 1992. ,
Linear operators in Hilbert spaces, 1980. ,