@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},
year = {1992},
publisher = {Gauthier-Villars},
volume = {56},
number = {3},
mrnumber = {1160852},
zbl = {0757.35064},
language = {en},
url = {https://www.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 - https://www.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 https://www.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. https://www.numdam.org/item/AIHPA_1992__56_3_279_0/
and , A Class of Analytic Perturbation for one Body Schrödinger Hamiltonians, Commun. Math. Phys., Vol. 22, 1971, pp. 269-279. | Zbl | MR
and , Phase Change During a Cyclic Quantum Evolution, Phys. Rev. Lett., Vol. 58, 1987, pp. 1593-1596. | MR
, Geometrical Methods in the Theory of Ordinary Differential Equations, Springer-Verlag, New York, Heidelberg, Berlin, 1983. | MR
, and , 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. | Zbl | MR
, On the Classical Limit of Berry's Phase Integrable Systems, Commun. Math. Phys., Vol. 127, 1990, pp. 637-651. | Zbl | MR
, and , Adiabatic Theorems and Applications to the Quantum Hall Effect, Commun. Math. Phys., Vol. 110, 1987, pp. 33-49. | Zbl | MR
, and , Chern Numbers, Quaternions and Berry's Phases in Fermi Systems, Commun. Math. Phys., Vol. 124, 1989, pp. 595-627. | Zbl | MR
and , Special Properties of Many Body Schrödinger Operators with Dilation Analytic Interactions, Commun. Math. Phys., Vol. 22, 1971, pp. 280-294. | Zbl | MR
, 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. | Zbl | MR
, The Quantum Phase, Five Years After, Geometric Phases in Physics, A. Shapere and F. Wilczek eds., World Scientific, Singapore, 1989, pp. 7-28. | MR
and , 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. | Zbl | MR
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. | Zbl | MR
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 and , The 1/R Expansion for H2+: Analiticity, Summability and Asymptotics, Ann. Phys., Vol. 165, 1985, pp. 441- 483. | Zbl | MR
, 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. | Zbl | MR
, 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. | Zbl | MR
and , Degenerate Asymptotic Perturbation Theory, Commun. Math. Phys., Vol. 90, 1983, pp. 219-233. | Zbl | MR
and , Stability of Schrödinger Eigenvalue Problems, Commun. Math. Phys., Vol. 83, 1982, pp. 281-302. | Zbl | MR
, 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. | Zbl | MR
and , Multiphase Averaging for Classical Systems With Applications to Adiabatic Theorems, Springer-Verlag, Berlin, 1988,. | Zbl | MR
, and , Cartan-Hannay-Berry Phases and Symmetry, Contemp. Math. A.M.S., Vol. 97, 1989, pp. 179-196. | Zbl | MR
, 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. | Zbl | MR
, Dévissage Gevrey, Astérisque, Vol. 59-60, 1978, pp. 173-204. | Zbl | MR | Numdam
, Les séries k-sommables et leurs applications, Springer, Lect. Notes Phys., Vol. 126, 1980, pp. 178-199. | MR
and , Methods of Modern Mathematical Physics, IV. Analysis of Operators, Academic Press, New York, 1978. | Zbl | MR
A. SHAPERE and E. WILCZEK eds., Geometric Phases in Physics, World Scientific, Singapore, 1989. | Zbl | MR
, 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. | Zbl | MR
, A course in Mathematical Physics 3. Quantum Mechanics of Atoms and Molecules, Springer-Verlag, New York, Wien, 1981. | Zbl | MR
, Connections of Berry and Hannay Type for Moving Lagrangian Manifolds, Adv. Math., Vol. 82, 1990, pp. 133-159. | Zbl | MR






