Publications
preprints
R. Schubert,
Semiclassical wave propagation for large times
(April 2007)
puplished papers
E.M. Graefe, R. Schubert,
Complexified coherent states and quantum evolution with non-Hermitian Hamiltonians
J. Phys. A
45
(24) 244033 (2012)
R. Schubert, R. O. Vallejos, F. Toscano,
How do wave packets spread? Time evolution on Ehrenfest time scales
,
J. Phys. A
45
(21) 215307 (2012)
E.M. Graefe, R. Schubert,
Wave packet evolution in non-Hermitain quantum systems
,
Phys. Rev. A
83
(6) 060101 (2011)
A. Goussev, R. Schubert, H. Waalkens and S. Wiggins,
Quantum Theory of Reactive Scattering in Phase Space
,
Adv. Quant. Chem.
60
, 269 (2010)
A. Goussev, R. Schubert, H. Waalkens and S. Wiggins,
The flux-flux correlation function for anharmonic barriers
,
J. Chem. Phys.
133
, 244113 (2010)
R. Schubert, H. Waalkens, A. Goussev and S. Wiggins,
Periodic-orbit formula for quantum reactions through transition states
,
Phys. Rev. A
82
(1) 012707 (2010)
A. Goussev, R. Schubert, H. Waalkens and S. Wiggins,
The quantum normal form approach to reactive scattering: The cumulative reaction probability for collinear exchange reactions,
J. Chem. Phys.
131
, 144103 (2009)
R. Schubert, H. Waalkens and S. Wiggins,
A quantum version of Wigner's transition state theory
,
Few-Body Syst
45
, 203-206 (2009)
R Schubert,
On the rate of quantum ergodicity for quantised maps
,
Ann. Henri Poincaré
9
, Number 8,
1455 - 1477
(2008)
C-H. Chang, T. Krüger, R. Schubert and S. Troubetzkoy,
Quantisations of Piecewise Parabolic Maps on the Torus and their Quantum Limits
,
Commun. Math. Phys.
282
, Number 2 September, (2008)
H. Waalkens, R.Schubert and S. Wiggins,
Wigner's Dynamical Transition State Theory in Phase Space: Classical and Quantum
Nonlinearity
21
, R1-R118 (2008)
J. Wang, T.S. Monteiro, S. Fishman, J.P. Keating & R. Schubert,
Fractional
ℏ
Scaling for Quantum Kicked Rotors without Cantori
,
Phys. Rev. Lett
.
99
,
234101
(2007)
R. Schubert, H. Waalkens and S. Wiggins,
Efficient computation of transition state resonances and reaction rates from a quantum normal form.
Phys. Rev. Lett.
96
, 218302 (2006).
R. Schubert,
Upper bounds on the rate of quantum ergodicity
Ann. Henri Poincaré
7
, (2006), 1085-1098.
R. Schubert,
Semiclassical behaviour of expectation values in time evolved Lagrangian states for large times.
Commun. Math. Phys.
256
, 239-254 (2005)
A. Bäcker, S. Fürstberger and R. Schubert,
Poincaré Husimi representation of eigenstates in quantum billiards
. Phys. Rev. E 70 (2004) 036204
M. Hentschel, H. Schomerus and R. Schubert,
Husimi functions at dielectric interfaces: Inside-outside duality for optical systems and beyond.
Europhys. Lett. 62, 636 (2003)
A. Bäcker S. Fürstberger, R. Schubert and F. Steiner,
Behaviour of boundary functions for quantum billiards.
J. Phys. A 35 (2002) 10293-10310.
A. Bäcker and R. Schubert,
Autocorrelation function for eigenstates in chaotic and mixed systems.
J. Phys. A 35 (2002) 539-564.
A. Bäcker and R. Schubert,
Amplitude distribution of eigenfunctions in mixed systems.
J. Phys. A. 35 (2002) 527-538.
A. Bäcker and R. Schubert,
Chaotic eigenfunctions in momentum space.
J. Phys. A 32 (1999) 4795-4815.
R. Aurich, A. Bäcker, R. Schubert and M. Taglieber,
Maximum norms of chaotic quantum eigenstates and random waves.
Physica D 129 (1999) 1-14.
A. Bäcker, R. Schubert and P. Stifter,
Rate of quantum ergodicity in Euclidean billiards.
Phys. Rev. E 57 (1998) 5425-5447,
erratum
Phys. Rev. E 58 (1998) 5192 .
A. Bäcker, R. Schubert and P. Stifter,
On the number of bouncing ball modes in billiards
J. Phys. A 30 (1997) 6783-6795.
reports and theses
R. Schubert,
Semiclassical localization in phase space.
PhD thesis, Ulm 2001
R. Schubert, Mikrolokale Analysis und Spurformeln. Diploma thesis, Hamburg 1996
R. Schubert,
The Trace Formula and the Distribution of Eigenvalues of Schrödinger Operators on Manifolds all of whose Geodesics are Closed
, DESY report 95-090 (1995)