@article{AIHPA_1992__56_3_279_0, author = {Caliceti, Emanuela and Marmi, Stefano and Nardini, Franco}, title = {Absence of geometrical phases in the rotating stark effect}, journal = {Annales de l'I.H.P. Physique th\'eorique}, pages = {279--305}, publisher = {Gauthier-Villars}, volume = {56}, number = {3}, year = {1992}, mrnumber = {1160852}, zbl = {0757.35064}, language = {en}, url = {http://archive.numdam.org/item/AIHPA_1992__56_3_279_0/} }
TY - JOUR AU - Caliceti, Emanuela AU - Marmi, Stefano AU - Nardini, Franco TI - Absence of geometrical phases in the rotating stark effect JO - Annales de l'I.H.P. Physique théorique PY - 1992 SP - 279 EP - 305 VL - 56 IS - 3 PB - Gauthier-Villars UR - http://archive.numdam.org/item/AIHPA_1992__56_3_279_0/ LA - en ID - AIHPA_1992__56_3_279_0 ER -
%0 Journal Article %A Caliceti, Emanuela %A Marmi, Stefano %A Nardini, Franco %T Absence of geometrical phases in the rotating stark effect %J Annales de l'I.H.P. Physique théorique %D 1992 %P 279-305 %V 56 %N 3 %I Gauthier-Villars %U http://archive.numdam.org/item/AIHPA_1992__56_3_279_0/ %G en %F AIHPA_1992__56_3_279_0
Caliceti, Emanuela; Marmi, Stefano; Nardini, Franco. Absence of geometrical phases in the rotating stark effect. Annales de l'I.H.P. Physique théorique, Tome 56 (1992) no. 3, pp. 279-305. http://archive.numdam.org/item/AIHPA_1992__56_3_279_0/
A Class of Analytic Perturbation for one Body Schrödinger Hamiltonians, Commun. Math. Phys., Vol. 22, 1971, pp. 269-279. | MR | Zbl
and ,Phase Change During a Cyclic Quantum Evolution, Phys. Rev. Lett., Vol. 58, 1987, pp. 1593-1596. | MR
and ,Geometrical Methods in the Theory of Ordinary Differential Equations, Springer-Verlag, New York, Heidelberg, Berlin, 1983. | MR
,Mathematical Aspects of Classical and Celestial Mechanics, Encyclopaedia of Mathematical Sciences, Vol. 3, Dynamical Systems, III Springer-Verlag, Berlin, 1988. | MR
, and ,Some Properties of Borel Summable Functions, J. Math. Phys., Vol. 22, 1981, pp. 2472-2481. | MR | Zbl
and ,On the Classical Limit of Berry's Phase Integrable Systems, Commun. Math. Phys., Vol. 127, 1990, pp. 637-651. | MR | Zbl
,Adiabatic Theorems and Applications to the Quantum Hall Effect, Commun. Math. Phys., Vol. 110, 1987, pp. 33-49. | MR | Zbl
, and ,Chern Numbers, Quaternions and Berry's Phases in Fermi Systems, Commun. Math. Phys., Vol. 124, 1989, pp. 595-627. | MR | Zbl
, and ,Special Properties of Many Body Schrödinger Operators with Dilation Analytic Interactions, Commun. Math. Phys., Vol. 22, 1971, pp. 280-294. | MR | Zbl
and ,Essais sur le mouvement des corps cosmiques Mir, Moscow, 1977.
,Quantal Phase Factors Accompanying Adiabatic Changes, Proc. R. Soc. London, Vol. A392, 1984, pp. 45-57. | MR
,Classical Adiabatic Angles and Quantal Adiabatic Phase, J. Phys. A: Math. Gen., Vol. 18, 1985, pp. 15-27. | MR | Zbl
,The Quantum Phase, Five Years After, Geometric Phases in Physics, A. Shapere and F. Wilczek eds., World Scientific, Singapore, 1989, pp. 7-28. | MR
,On the Semiclassical Asymptotics of Berry's Phase, Preprint, École Polytechnique, Paris, 1989.
and ,The Hannay Angles: Geometry, Adiabaticity and an Example, Commun. Math. Phys., Vol. 123, 1989, pp. 95-122. | MR | Zbl
, and ,Symmetries, Hannay Angles and Precession of Orbits, Europhys. Lett., Vol. 8, 1989, pp. 399-404.
and ,A Class of Systems with Measurable Hannay Angles, Nonlinearity, Vol. 3, 1990, pp. 507-518. | MR | Zbl
and ,Table of integrals, Series and Products Academic Press, London, 1980.
and ,Resonances in the Stark Effect and Perturbation Theory, Commun. Math. Phys., Vol. 62, 1978, pp. 83-96. | MR
and ,The 1/R Expansion for H2+: Analiticity, Summability and Asymptotics, Ann. Phys., Vol. 165, 1985, pp. 441- 483. | MR | Zbl
, and and ,Angle Variable Holonomy in Adiabatic Excursion of an Integrable Hamiltonian, J. Phys. A: Math. Gen., Vol. 18, 1985, pp. 221-230. | MR
,Dilation Analyticity in Constant Electric Field I. The Two Body Problem, Commun. Math. Phys., Vol. 64, 1979, pp. 279-298. | MR | Zbl
,Schrödinger Operators with External Homogeneous Electric and Magnetic Fields, NATO Advanced Studies Institute, Vol. 32B, A. Velo and A. Wightman eds.. 1982.
,Schrödinger Operatrs with Electric or Magnetic Fields, in Mathematical Problems in Theoretical Physics, Lect. Notes Phys., Vol. 116, K. Osterwalder ed., Springer-Verlag, Berlin, 1979, pp. 25-44. | MR | Zbl
,Degenerate Asymptotic Perturbation Theory, Commun. Math. Phys., Vol. 90, 1983, pp. 219-233. | MR | Zbl
and ,Stability of Schrödinger Eigenvalue Problems, Commun. Math. Phys., Vol. 83, 1982, pp. 281-302. | MR | Zbl
and ,Berry's Phase - Topological Ideas from Atomic, Molecular and Optical Physics, Commun. Atom. Mol. Phys., Vol. 21, 1988, pp. 71-82.
,On the Adiabatic Theorem in Quantum Mechanics, J. Phys. Soc. Japan, Vol. 5, 1950, pp. 435-439.
,Perturbation Theory for Linear Operators, Springer-Verlag, Berlin, 1966, and , Mécanique Quantique Mir, Moscow, 1966. | MR | Zbl
,Multiphase Averaging for Classical Systems With Applications to Adiabatic Theorems, Springer-Verlag, Berlin, 1988,. | MR | Zbl
and ,Cartan-Hannay-Berry Phases and Symmetry, Contemp. Math. A.M.S., Vol. 97, 1989, pp. 179-196. | MR | Zbl
, and ,The Connection Whose Holonomy is the Classical Adiabatic Angles of Hannay and Berry and its Generalization to the Non-integrable Case, Commun. Math. Phys., Vol. 120, 1988, pp. 269-294. | MR | Zbl
,Dévissage Gevrey, Astérisque, Vol. 59-60, 1978, pp. 173-204. | Numdam | MR | Zbl
,Les séries k-sommables et leurs applications, Springer, Lect. Notes Phys., Vol. 126, 1980, pp. 178-199. | MR
,Methods of Modern Mathematical Physics, IV. Analysis of Operators, Academic Press, New York, 1978. | MR | Zbl
and ,A. SHAPERE and E. WILCZEK eds., Geometric Phases in Physics, World Scientific, Singapore, 1989. | MR | Zbl
Holonomy, the Quantum Adiabatic Theorem and Berry's Phase, Phys. Rev. Lett., Vol. 51, 1983, pp. 2167-2170. | MR
,A course in Mathematical Physics 1. Classical Dynamical Systems, Springer-Verlag, New York, Wien, 1978. | MR | Zbl
,A course in Mathematical Physics 3. Quantum Mechanics of Atoms and Molecules, Springer-Verlag, New York, Wien, 1981. | MR | Zbl
,Connections of Berry and Hannay Type for Moving Lagrangian Manifolds, Adv. Math., Vol. 82, 1990, pp. 133-159. | MR | Zbl
,