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- 2001 - |
D. Bambusi, S. Graffi:
Time quasi-periodic
unbounded perturbations of Schrödinger operators and KAM methods;
Commun. Math. Phys. 219 n. 2, 465-480 (2001).
M. Degli Esposti, C. Giardinà, S. Graffi, S. Isola:
Statistics of energy levels and zero temperature
dynamics for determinstic spin models with glassy behaviour
J. Stat. Phys. 102(5/6), 1285-1313 (2001).
M. Degli Esposti:
Infinite Step Billiards
Long Time Behaviour of Classical and Quantum Systems
Proceedings of the Bologna APTEX International Conference
(Bologna, Italy, 13-17 September 1999) a cura di Sandro Graffi, Andrè
Martinez pp. 124-139,
World Scientific Publishing Co., Singapore (2001).
F. Franchi:
A comparison of the Graffi and Kazhikhov-Smagulov
models for top heavy pollution instability
Advances in Water Resources, 24, 585-594 (2001).
V. Grecchi, A. Sacchetti:
Critical Metastability and Destruction
of the Splitting in Non-Autonomous Systems
J. Stat. Phys. 103, 339 (2001).
V. Grecchi, A. Sacchetti:
Acceleration theorem for Bloch oscillators
Physical Review B, 2303 (2001).
A. Sacchetti:
Dynamical localization criterion for driven two-level systems
J. Phys. A: Math. Gen. 34, 10293-10306 (2001).
A. Sacchetti:
Destruction of the beating effect in a periodically driven
double-well
Proceedings of the International Conference "Long Time Behaviour of
Classical and Quantum Systems", Bologna 1999, ed. S. Graffi e A.
Martinez (World Scientific, 2001).
A. Sacchetti:
Tunneling destruction for a non-linear Schroedinger equation
Proceedings on the International conference Q-Math 8:
Mathematical Results in Quantum Mechanics, Taxco (Mex)
10-14 Dicembre 2001.
A. Lahmar-Benbernou, A. Martinez:
On Helffer-Sjoestrand's theory of Resonances
Int. Math. Res. Notices, 13, 1-21 (2001).
A. Martinez, K. Yajima:
On the Fondamental Solution of Semiclassical Schroedinger Equations
at Resonant Times
Comm. Math. Phys. 216, 357-373 (2001).
V. Sordoni:
Born-Oppenheimer Approximation for the Brown-Ravenhall
Equation
Reviews in Math.Phys., Vol. 13, No. 8, pp:921-951 (2001).
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- 2000 - |
O. Bolina, P. Contucci, B. Nachtergaele, S. Starr:
A continuum approximation for the excitations
of the (1,1,...,1) interface in the quantum Heisenberg model
Electron. J. Diff. Eqns., N. 04, 1-10 (2000).
O. Bolina, P. Contucci, B. Nachtergaele, S. Starr:
Finite-volume
excitations of the 111 interface in the quantum XXZ model
Commun. Math. Phys. 212, 63-91 (2000).
O. Bolina, P. Contucci, B. Nachtergaele:
Path Integral Representation for Interface States
of the Anisotropic Heisenberg Model
Rev. Math. Phys. 12, No. 10, 1325-1344 (2000).
E. Caliceti:
Distributional Borel Summability of
Odd Anharmonic Oscillators
J. Phys. A: Math. Gen. 33, 1-18 (2000).
S. Graffi, A. Martinez (Eds.):
Long Time Behaviour in Classical and Quantum Systems
(Proceedings of the 1999 APTEX Conference, Bologna)
World Scientific, Singapore, 2000.
M. Degli Esposti:
Quantum Maps: why and why not
ICMP2000 Proceedings (2000).
M. Degli Esposti, G. Del Magno, M. Lenci:
Escape orbits and
ergodicity in infinite step billiards
Nonlinearity 13, no. 4, 1275-1292 (2000).
J. L. Lebowitz, M. Lenci, H. Spohn:
Large deviations for ideal
quantum systems
J. Math. Phys. 41, no. 3, 1224-1243 (2000).
C. Giardinà:
Discrete spin variables and
critical temperature in deterministic model with glassy behaviour
Phys. Rev. E 61, 3375 (2000).
C. Giardinà, R. Livi, A. Politi, M. Vassalli:
Finite
thermal conductivity in 1D lattices
Phys. Rev. Lett. 84, 2144 (2000).
S. Graffi, K. Yajima:
Absolute Continuity of the Floquet Spectrum for a Nonlinearly Forced
Harmonic Oscillator
Commun. Math. Phys. 215, 245-250 (2000).
B. Helffer, A. Martinez:
Phase Transition in the Semiclassical Regime
Rev. Math. Phys. 12, 1429-1450 (2000).
V. Grecchi, A. Sacchetti:
Molecular localization induced by
collisions
Physical Review A 61, 052106(1-4) (2000).
V. Sordoni:
Some results on anharmonic oscillator and related
Schroedingeroperators in high dimension
Actes du Colloque de Coimbra "Operateurs différentiels et Physique
Mathématique", Textos Mat. Ser. B, 24 pp. 135-142 (2000).
V. Sordoni:
Some results on scattering matrix for multistate
Schroedingeroperator
Proceedings of the Workshop "Partial Differential Operators" Torino 8-10
May 2000, L.Rodino editor pp:149-155.
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- 1999 - |
D.Bambusi, S.Graffi, T.Paul:
"Normal forms and quantization
formulae"
Commun.Math.Phys., 207, 173-195 (1999).
D.Bambusi, S.Graffi, T.Paul:
"Long time semiclassical approximation of quantum flows:
a proof of the Eherenfest time"
Asymptotic Analysis, 21, 149-160 (1999).
M.Benchaou, A.Martinez:
"Estimations exponentielles en théorie de la diffusion pour des opérateurs de
Schrödinger matriciels"
Ann.Inst.H.Poincaré, 71, 561-594 (1999).
M.Degli Esposti, G.Del Magno, M.Lenci:
"An Infinite Step
Billiard"
Nonlinearity 11, no. 4, 991-1013 (1999).
P.Contucci, P.Kleban, A.Knauf:
"A Fully Magnetizing
Phase Transition"
Journal of Statistical Physics 97, N. 3/4, 523-539 (1999).
A.Lahmar-Benbernou, A.Martinez:
"Semiclassical Asymptotics of the Residues of the Scattering Matrix for
Shape Resonances"
Asymptotic Analysis 20, 13-38 (1999).
A.Martinez, V.Sordoni:
"Microlocal WKB expansions"
J.Funct.Analysis 168, 380-402 (1999).
M.Lenci:
"Classical billiards and quantum
large deviations"
Ph.D. Thesis, Rutgers University (1999).
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- 1998 - |
M.Aizenman, P.Contucci:
"On the Stability of the Quenched state
in Mean Field Spin Glass Models"
Journal of Statistical Physics, 92, n.5/6, 765-783 (1998).
V.Baladi, M.Degli Esposti, S.Isola, E.Järvenpää, A.Kupianen:
"The spectrum of
weakly coupled maps"
Journal de Mathématiques Pures et Appliquées 77, 539-584 (1998).
I.Borsari, F.Camia, S.Graffi, M.Unguendoli:
"Absence of glassy behaviour
in the deterministic spherical and XY models"
J.Phys. A: Math.Gen., 31, 1127-1139 (1998).
S.De Bievre, M.Degli Esposti:
"Egorov theorems and equidistribution of eigenfunctions for the quantized sawtooth
and Baker maps"
Annales de l'Institut H.Poincaré, Phys.Theor., 69, 1-30 (1998).
M.Lenci:
"Caos quantistico
cinematico" (Kinematic
Quantum Chaos)
Ph.D. Thesis, Università di Bologna (1998).
M.Degli Esposti, S.Isola:
"Transfer operators for infinite dimensional
dynamical systems"
Journal de Physique IV, 8, 227-231 (1998).
C.Giardinà, R.Livi:
"Ergodic properties of
microcanonical observables"
J.Stat.Phys. 91, 1027 (1998).
V.Grecchi, A.Sacchetti:
"Wannier-Bloch Oscillators"
Comm.Math.Phys., 197, 553-569 (1998).
N.Ripamonti:
"Classical Limit of the Matrix Elements on
Quantized Lobachevskii Plane"
Mathematical Physics Electronic Journal, 4, n.3, 19pp (1998).
V.Sordoni:
"Gaussian decay for the eigenfunctions of a Schrodinger operator
with magnetic field constant at infinity"
Comm. Partial Differ. Equations 23, No. 1-2, 223-242 (1998).
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- 1997 - |
I.Borsari, M.Degli Esposti, S.Graffi, M.Unguendoli:
"Deterministic spin models with mean field glassy
behaviour"
J.Phys.A, 30, L155-L159 (1997).
M.Degli Esposti, S.Graffi, S.Isola:
"Classical limit of the quantum Arnold cat:
a comprehensive treatment"
St. Petersburg Mathematical Journal, vol. 8, pp. 183-229 (1997).
E.Caliceti, V.Grecchi, M.Maioli:
"Perturbation Theory, Borel Summability and Asymptotics"
St. Petersburg Math. J., vol. 8, pp. 111-122 (1997).
R.Conti, P.Contucci, C.Falcolini:
"Polynomial Invariants for Trees.
A statistical Mechanics Classification Figures"
Discrete Applied Mathematics, N. 81, 225-237 (1997).
P.Contucci, A.Knauf:
"The Phase Transition of the Number-Theoretical
Spin Chain"
Forum Math. N. 9, 547-567 (1997).
J.P.Gazeau, S.Graffi:
"Quantum Harmonic Oscillator: a Relativistic and Statistical Point of
View"
Boll.U.M.I., Ser.VII , XI-A, 815-839 (1997).
V.Grecchi, A.Sacchetti:
"Lifetime of the Wannier-Stark resonances and perturbation theory"
Commun.Math.Phys., 185, 359-378 (1997).
V.Grecchi, A.Sacchetti:
"Metastable Bloch oscillators"
Phys.Rev.Lett., 78, 4474-4477 (1997).
M.Klein, A.Martinez, X.P.Wang:
"On the Born-Oppenheimer approximation of wave operators II : singular
potentials"
Journal of Mathematical Physics Vol. 38, n.3, 1373-1396 (1997).
A.Martinez:
"Microlocal Exponential Estimates and Applications to
Tunneling"
NATO ASI Series C, Vol. 490 (L. Rodino, Ed.), Klumer Acad. Publ. (1997).
V.Sordoni:
"Instantons and Splitting"
Journal of Math. Physics, 38 (2), 770-795 (1997).
D.Robert, V.Sordoni:
"Generalized Determinants for Sturm-Liouville Problemson the Real
Line"
Greiner, Peter C. (ed.) et al., Partial differential equations and their
applications, CRM Proc. Lect. Notes. 12, 251-259 (1997).
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