@article{AIHPA_1995__63_2_231_0, author = {Joye, Alain}, title = {An adiabatic theorem for singularly perturbed hamiltonians}, journal = {Annales de l'I.H.P. Physique th\'eorique}, pages = {231--250}, publisher = {Gauthier-Villars}, volume = {63}, number = {2}, year = {1995}, mrnumber = {1357497}, zbl = {0834.35107}, language = {en}, url = {http://archive.numdam.org/item/AIHPA_1995__63_2_231_0/} }
TY - JOUR AU - Joye, Alain TI - An adiabatic theorem for singularly perturbed hamiltonians JO - Annales de l'I.H.P. Physique théorique PY - 1995 SP - 231 EP - 250 VL - 63 IS - 2 PB - Gauthier-Villars UR - http://archive.numdam.org/item/AIHPA_1995__63_2_231_0/ LA - en ID - AIHPA_1995__63_2_231_0 ER -
Joye, Alain. An adiabatic theorem for singularly perturbed hamiltonians. Annales de l'I.H.P. Physique théorique, Volume 63 (1995) no. 2, pp. 231-250. http://archive.numdam.org/item/AIHPA_1995__63_2_231_0/
[AHS] Adiabatic Theorems for Dense Point Spectra, Commun. Math. Phys., Vol. 128, 1990, pp. 497-507. | MR | Zbl
, and ,[ASY] Adiabatic Theorems and Applications to the Quantum Hall Effect, Commun. Math. Phys., Vol. 110, 1987, pp. 33-49. | MR | Zbl
, and ,[BF] Beweis des Adiabatensatzes, Zeit. f. Phys., Vol. 51, 1928, pp. 165-169. | JFM
and ,[JP1] Quantum Adiabatic Evolution, in "Leuven Conference Proceedings; On the Three Levels Micro-, Meso, and Macro-approaches in Physics", M. FANNES, C. MEAS, A. VERBEURE, Eds., Plenum, New York, 1994, pp. 139-148. | Zbl
and ,[JP2] Exponentially Small Adiabatic Invariant for the Schroedinger Equation, Commun. Math. Phys., Vol. 140, 1991, pp. 15-41. | MR | Zbl
and ,[Ka1] On the Adiabatic Theorem of Quantum Mechanics, J. Phys. Soc. Japan, Vol. 5, 1950, pp. 435-439.
,[Ka2] Perturbation Theory for Linear Operators, Springer-Verlag, Berlin, Heidelberg, New York, 1966. | MR | Zbl
,[Kr] Linear Differential Equations in Banach Spaces, American Mathematical Society, Vol. 29, Providence, 1971. | MR
,[N1] On the Adiabatic Theorem of Quantum Mechanics, J. Phys. A, Vol. 13, 1980, L15-L18. | MR | Zbl
,[N2] Asymptotic Invariant Subspaces, Adiabatic Theorems and Block Diagonalisation, in "Recent Developments in Quantum Mechanics", A. BOUTET DE MONVEL et al., Eds., Kluver Academic Publishers, Dordrecht, 1991. | MR | Zbl
,[N3] Adiabatic Theorems and Spectral Concentration, Commun. Math. Phys., Vol. 82, 1981, pp. 121-135. | MR | Zbl
,[RS] Methods of Modem Mathematical Physics, II Fourier Analysis, Self-Adjointness, Academic Press, New York, San Francisco, London, 1975. | Zbl
and ,