F. J. ARRANZ, F. BORONDO and R. M. BENITO,
Distribution of zeros of the Husimi function in a realistic
Hamiltonian molecular system,
Phys. Rev. E 54 (1996) 2458-2464.
I. S. AVERBUKH and N. F. PERELMAN,
Fractional regenerations of wave packets in the course of
long-term evolution of highly excited quantum systems,
Sov. Phys. JETP 69 (1989) 464-469.
M. V. BERRY,
Semiclassical mechanics of regular and irregular motion,
in: G. IOOSS, R. H. G. HELLEMAN and R. STORA (eds.),
Chaotic Behaviour of Deterministic Systems, Les Houches: École
d'Été de Physique Théorique, Session XXXVI (1981), 171-271. North
Holland Publishing Company, Amsterdam (1983).
M. V. BERRY,
Chaos and the semiclassical limit of quantum mechanics (is the
moon there when somebody looks?),
in: R. J. RUSSELL, P. CLAYTON, K. WEGTER-MCNELLY
and J. POLKINGHORNE (eds.), Quantum Mechanics: Scientific
Perspectives on Divine Action, 41-54. Vatican Observatory Publications,
Vatican City State, and Center for Theology and the Natural Sciences,
Berkeley (2001).
O. BOHIGAS, M. J. GIANNONI and C. SCHMIT,
Characterization of chaotic spectra and universality of level
fluctuation laws,
Phys. Rev. Lett. 52 (1984) 1-4.
R. BLÜMEL and W. P. REINHARDT,
Chaos in Atomic Physics, vol. 10 of Cambridge Monographs
on Atomic, Molecular and Chemical Physics,
Cambridge University Press, Cambridge (1997).
K. BANASZEK, C. RADZEWICZ, K. W´ODKIEWICZ and J. S.
KRASINSKI,
Direct measurement of the Wigner function by photon counting,
Phys. Rev. A 60 (1999) 674-677.
P. CVITANOVIC, R. ARTUSO, R. MAINIERI, G. TANNER and
G. VATTAY,
Chaos: Classical and Quantum,
http://www.nbi.dk/ChaosBook/, Niels Bohr Institute, Copenhagen
(2003).
G. CASATI, B. V. CHIRIKOV, F. M. IZRAELEV and J. FORD,
Stochastic behavior of a quantum pendulum under a periodic
perturbation,
in: G. CASATI and J. FORD (eds.), Stochastic
Behaviour in Classical and Quantum Hamiltonian Systems, vol. 93 of Lecture Notes in Physics, 334-352. Springer, Berlin (1979).
G. CASATI, I. GUARNERI and U. SMILANSKY (eds.),
Quantum Chaos,
Proceedings of the International School of Physics ``Enrico Fermi'',
Course CXIX (1991). North-Holland, Amsterdam (1993).
G. CASATI, F. M. IZRAILEV and V. V. SOKOLOV,
Dynamical theory of quantum chaos or a hidden random matrix
ensemble? Comment on [AZ96],
Phys. Rev. Lett. 80 (1998) 640.
C. W. CURTIS and I. REINER,
Representation Theory of Finite Groups and Associate Algebras,
vol. XI of Pure and Applied Mathematics,
Wiley Interscience Publishers, New York (1962).
H. DE RAEDT,
Quantum dynamics in nanoscale devices,
in: K. H. HOFFMANN and M. SCHREIBER (eds.), Computational Physics -- Selected Methods, Simple Exercises, Serious
Applications, 209-224. Springer, Berlin (1996).
A. N. DROZDOV,
Power series expansion for the time evolution operator with a
harmonic-oscillator reference system,
Phys. Rev. Lett. 75 (1995) 4342-4345.
P. DU VAL,
Elliptic Functions and Elliptic Curves, vol. 9 of London
Mathematical Society Lecture Note Series,
Cambridge University Press, Cambridge (1973).
M. C. ESCHER,
Zon en maan (1948),
in: J. L. LOCHER (ed.), Leben und Werk M. C. Escher,
295. RVG Interbook Verlagsgesellschaft, Remseck (1994).
More examples can be viewed online at
http://ftp.sunet.se/pub/pictures/art/M.C.Escher/.
U. M. ENGEL, B. STEGEMERTEN and P. ECKELT,
Normal forms and quasi-integrals for the Hamiltonians of
magnetic bottles,
J. Phys. A: Math. Gen. 28 (1995) 1425-1448.
R. FLEISCHMANN, T. GEISEL, R. KETZMERICK and G. PETSCHEL,
Quantum diffusion, fractal spectra, and chaos in semiconductor
microstructures,
Physica D 86 (1995) 171-181.
S. FISHMAN,
Quantum localization,
in: G. CASATI, I. GUARNERI and U. SMILANSKY (eds.),
Quantum Chaos, Proceedings of the International School of Physics
``Enrico Fermi'', Course CXIX (1991), 187-219. North-Holland, Amsterdam
(1993).
W. FISCHER,
Zur elektronischen Lokalisierung durch gaußsche zufällige
Potentiale,
PhD thesis, Friedrich-Alexander-Universität Erlangen-Nürnberg
(1996).
J. FRÖHLICH, F. MARTINELLI, E. SCOPPOLA and T. SPENCER,
Constructive proof of localization in the Anderson tight
binding model,
Commun. Math. Phys. 101 (1985) 21-46.
J. FORD,
Quantum Chaos -- is there any?,
in: B.-L. HAO (ed.), Directions in Chaos Vol. 2, vol. 4
of World Scientific Series on Directions in Condensed Matter Physics,
128-147. World Scientific, Singapore (1988).
D. R. GREMPEL, S. FISHMAN and R. E. PRANGE,
Localization in an incommensurate potential: An exactly solvable
model,
Phys. Rev. Lett. 49 (1982) 833-836.
J. GUCKENHEIMER and P. HOLMES,
Nonlinear Oscillations, Dynamical Systems, and Bifurcations of
Vector Fields, vol. 42 of Applied Mathematical Sciences,
Springer-Verlag, New York (1983).
R. J. GLAUBER,
Optical coherence and photon statistics,
in: C. DE WITT, A. BLANDIN and C. COHEN-TANNOUDJI
(eds.), Quantum Optics and Electronics, Les Houches: École d'Été
de Physique Théorique, Session XIV (1964), 63-185. Gordon and Breach,
Science Publishers, New York (1965).
M. C. GUTZWILLER,
The semi-classical quantization of chaotic Hamiltonian
systems,
in: M.-J. GIANNONI, A. VOROS and J. ZINN-JUSTIN
(eds.), Chaos and Quantum Physics, Les Houches: École d'Été de
Physique Théorique, Session LII (1989), 201-250. North-Holland, Amsterdam
(1991).
M.-J. GIANNONI, A. VOROS and J. ZINN-JUSTIN (eds.),
Chaos and Quantum Physics,
Les Houches: École d'Été de Physique Théorique, Session LII
(1989). North-Holland, Amsterdam (1991).
R. H. G. HELLEMAN,
One mechanism for the onsets of large-scale chaos in
conservative and dissipative systems,
in: C. W. HORTON, L. E. REICHL and V. G. SZEBEHELY
(eds.), Long-Time Prediction in Dynamics, 95-126. Wiley, New York
(1983).
M. HÉNON,
Numerical exploration of Hamiltonian systems,
in: G. IOOSS, R. H. G. HELLEMAN and R. STORA (eds.),
Chaotic Behaviour of Deterministic Systems, Les Houches: École
d'Été de Physique Théorique, Session XXXVI (1981), 53-170. North
Holland Publishing Company, Amsterdam (1983).
R. HEATHER and H. METIU,
An efficient procedure for calculating the evolution of the wave
function by fast Fourier transform methods for systems with spatially
extended wave function and localized potential,
J. Chem. Phys. 86 (1987) 5009-5017.
K. H. HOFFMANN and M. SCHREIBER (eds.),
Computational Physics -- Selected Methods, Simple Exercises,
Serious Applications,
Springer-Verlag, Berlin (1996).
A. HERMANN, K. V. MEYENN and V. F. WEISSKOPF (eds.),
Wolfgang Pauli. Wissenschaftlicher Briefwechsel mit
Bohr, Einstein, Heisenberg u. a., Band I: 1919-1929,
Springer-Verlag, New York (1979).
A. KATOK and B. HASSELBLATT,
Introduction to the modern theory of dynamical systems, vol. 54 of Encylopedia of mathematics and its applications,
Cambridge University Press, Cambridge (1995).
T. KLUTH,
Zum Einfluß des Massenverhältnisses auf die Dynamik
des kollinearen symmetrischen Dreikörperproblems,
Diploma thesis, Westfälische Wilhelms-Universität Münster
(1997).
J. C. KIMBALL, V. A. SINGH and M. D'SOUZA,
Quantum approximation to regular and chaotic classical motion:
An electron in two periodic potentials,
Phys. Rev. A 45 (1992) 7065-7072.
H. J. KORSCH and H. WIESCHER,
Quantum chaos,
in: K. H. HOFFMANN and M. SCHREIBER (eds.), Computational Physics -- Selected Methods, Simple Exercises, Serious
Applications, 225-244. Springer-Verlag, Berlin (1996).
L.-M. KUANG, F.-B. WANG and Y.-G. ZHOU,
Coherent states of a harmonic oscillator in a finite-dimensional
Hilbert space and their squeezing properties,
J. Mod. Opt. 41 (1994) 1307-1318.
A. J. LICHTENBERG and M. A. LIEBERMAN,
Regular and Chaotic Dynamics, vol. 38 of Applied
Mathematical Sciences,
Springer-Verlag, New York, 2nd edition (1992).
J. H. LOWENSTEIN,
Equal abundance of positive- and negative-residue fixed points
for resonantly kicked harmonic oscillators,
Nonlinearity 9 (1996) 1071-1088.
A. MALKIN and V. I. MAN'KO,
Coherent states and Green's function of a charged particle in
variable electric and magnetic fields,
Sov. Phys. JETP 32 (1971) 949-953.
F. L. MOORE, J. C. ROBINSON, C. F. BHARUCHA, B. SUDARAM
and M. G. RAIZEN,
Atom optics realization of the quantum -kicked rotor,
Phys. Rev. Lett. 75 (1995) 4598-4601.
P. A. MILLER and S. SARKAR,
Entropy production, dynamical localization and criteria for
quantum chaos in the open quantum kicked rotor,
Nonlinearity 12 (1999) 419-442.
R. E. PRANGE, D. R. GREMPEL and S. FISHMAN,
Wave functions at a mobility edge: An example of a singular
continuous spectrum,
Phys. Rev. B 28 (1983) 7370-7372.
R. E. PRANGE, D. R. GREMPEL and S. FISHMAN,
Quantum chaos and Anderson localization,
in: G. CASATI (ed.), Chaotic Behavior in Quantum Systems.
Theory and Applications, vol. 120 of NATO ASI Series B: Physics,
205-216. Plenum Press, New York (1985).
W. H. PRESS, S. A. TEUKOLSKY, W. T. VETTERLING and B. P.
FLANNERY,
Numerical Recipes in C. The Art of Scientific Computing,
Cambridge University Press, Cambridge, 2nd edition (1994).
G. SCHMERA, P. JUNG and F. MOSS,
Diffusion on the chaotic web of a Hamiltonian oscillator with
incommensurate forcing,
Phys. Rev. A 45 (1992) 5462-5468.
R. Z. SAGDEEV, D. A. USIKOV and G. M. ZASLAVSKY,
Nonlinear Physics. From the Pendulum to Turbulence and Chaos,
vol. V of Contemporary Concepts in Physics,
Harwood Academic Publishers, Chur (1988).
J. L. TENNYSON,
Resonance streaming in electron-positron colliding beam
systems,
in: C. W. HORTON, L. E. REICHL and V. G. SZEBEHELY
(eds.), Long-Time Prediction in Dynamics, 427-451. Wiley, New York
(1983).
G. TORRES-VEGA,
Lanczos method for the numerical propagation of quantum
densities in phase space with an application to the kicked harmonic
oscillator,
J. Chem. Phys. 98 (1993) 7040-7045.
G. TORRES-VEGA, A. ZÚÑIGA-SEGUNDO and J. D.
MORALES-GUZMÁN,
Special functions and quantum mechanics in phase space: Airy
functions,
Phys. Rev. A 53 (1996) 3792-3797.
J. A. YEAZELL, M. MALLALIEU and C. R. STROUD JR.,
Observation of the collapse and revival of a Rydberg
electronic wave packet,
Phys. Rev. Lett. 64 (1990) 2007-2010.
J.-Y. ZHU and L.-M. KUANG,
Even and odd coherent states of a harmonic oscillator in a
finite-dimensional Hilbert space and their squeezing properties,
Phys. Lett. A 193 (1994) 227-234.
G. M. ZASLAVSKY, R. Z. SAGDEEV, D. A. USIKOV and A. A.
CHERNIKOV,
Minimal chaos, stochastic webs, and structures of quasicrystal
symmetry,
Sov. Phys. Usp. 31 (1988) 887-915.
G. M. ZASLAVSKY, R. Z. SAGDEEV, D. A. USIKOV and A. A.
CHERNIKOV,
Weak Chaos and Quasi-Regular Patterns, vol. 1 of Cambridge Nonlinear Science Series,
Cambridge University Press, Cambridge (1991).
T. ZUMKLEY,
Diffusion in Aluminium-(Si,Ge) Mischkristallen sowie in
ikosaedrischen AlPdMn-Quasikristallen,
PhD thesis, Westfälische Wilhelms-Universität Münster
(1997).
G. M. ZASLAVSKY, M. Y. ZAKHAROV, A. I. NEISHTADT, R. Z.
SAGDEEV and D. A. USIKOV,
Multidimensional Hamiltonian chaos,
Sov. Phys. JETP 69 (1989) 885-897.