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PREPRINTS & REPRINTS | ULM GROUP

2003 - 2002 - 2001 - 2000

 

2003 publications

A. Bäcker
Numerical aspects of eigenvalue and eigenfunction computations for chaotic
quantum systems, in The Mathematical Aspects of Quantum Maps
,
M. Degli Esposti and S. Graffi (Eds.)
Springer Lecture Notes in Physics 618 (2003)

J. Bolte and J. M. Harrison
Spectral statistics for the Dirac operator on graphs,
J. Phys. A: Math. Gen. 36 (2003) 2747-2769

J. Bolte and J. M. Harrison
The spin contribution to the form factor of quantum graphs,
J. Phys. A: Math. Gen. 36 (2003) L433 - L440

S. Keppeler
Semiclassical quantisation rules for the Dirac and Pauli equations,
Ann. Phys. (NY) 304 (2003) 40-71

F. Steiner
Space-time approach to quantum chaos,
phys. stat. sol. (b) 237, No. 1, (2003) 133-145

Preprints

A. Bäcker, S. Fürstberger, R. Schubert
Poincare Husimi representation of eigenstates in quantum billiards

J. M. Harrison and J. M. Robbins
Quantum indistinguishability from general representations of SU(2n)

H. Then
Arithmetic quantum chaos of Maass waveforms


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2002 publications

A. Bäcker, S. Fürstberger, R. Schubert and F. Steiner
Behaviour of boundary functions for quantum billiards,
J. Phys. A: Math. Gen. 35 (2002) 10293-10310

S. Keppeler
Torus quantization for spinning particles,
Phys. Rev. Lett. 89 (2002) 210405

A. Bäcker, J. P. Keating and S. D. Prado,
Orbit bifurcations and wavefunction autocorrelations,
Nonlinearity 15 (2002) 1417-1433

A. Bäcker, A. Manze, B. Huckestein and R. Ketzmerick,
Isolated resonances in conductance fluctuations and hierarchical states,
Phys. Rev. E 66 (2002) 016211 (8 pages)

A. Bäcker and R. Schubert,
Amplitude distribution of eigenfunctions in mixed systems,
J. Phys. A. 35 (2002) 527-538

A. Bäcker and R. Schubert,
Autocorrelation function of eigenstates in chaotic and mixed systems,
J. Phys. A 35 (2002) 539-564

G. Haag and S. Keppeler,
Parabolic maps with spin: Generic spectral statistics with non-mixing
classical limit
,
Nonlinearity 15 (2002) 65-88

S. Keppeler and R. Winkler,
Anomalous magneto-oscillations and spin precession,
Phys. Rev. Lett. 88 (2002) 046401

Preprints

J. Bolte and R. Glaser
Semiclassical time evolution and quantum ergodicity for
Dirac-Hamiltonians


H. Then
Maaß cusp forms corresponding to large eigenvalues

J. Bolte and R. Glaser,
A semiclassical Egorov theorem and quantum ergodicity for matrix
valued operators

J. Bolte, R. Glaser and S. Keppeler
Comment on: "Semiclassical theory of spin-orbit interactions using
spin coherent states"

 

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2001

R. Aurich and F. Steiner,
Orbit sum rules for the quantum wave functions of the strongly
chaotic Hadamard billiard in arbitrary dimensions ,
Foundations of Physics 31 (2001) 569-592
(no file or link available)

J. Bolte,
Semiclassical expectation values for relativistic particles with
spin 1/2
,
Foundations of Physics 31 (2001) 423-444

J. Bolte,
The Gutzwiller Trace Formula for Quantum Systems with Spin,
in: B. Kramer (ed.): Advances in Solid States Physics, Vol. 41,
pp. 447-458 (Springer 2001)

J. Bolte, R. Glaser and S. Keppeler,
Quantum and classical ergodicity of spinning particles,
Annals of Physics (N.Y.) 293 (2001) 1-14

S. Keppeler
Level spacings and periodic orbits
Phys. Rev. E 64 (2001) 027201

S. Keppeler, J. Marklof and F. Mezzadri,
Quantum cat maps with spin 1/2,
Nonlinearity 14 (2001) 719-738

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2000

J. Bolte and R. Glaser,
Quantum ergodicity for Pauli Hamiltonians with spin 1/2,
Nonlinearity 13 (2000) 1987-2003

J. Bolte, B. Müller and A. Schäfer,
Ergodic Properties of Classical SU(2) Lattice Gauge Theory,
Phys. Rev. D, 61 (2000) 054506

S. Keppeler,
Two-point correlations of the Gaussian symplectic ensemble from
periodic orbits
,
J. Phys. A 33 (2000) L503-L507

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