Trace formulae for three-dimensional hyperbolic lattices and application to a strongly chaotic tetrahedral billiard - INSPIRE

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Trace formulae for three-dimensional hyperbolic lattices and application to a strongly chaotic tetrahedral billiard

R. Aurich
(
- Hamburg U.
)
,
J. Marklof
(
- Hamburg U.
)

Jan, 1995

32 pages

Published in:

Physica D 92 (1996) 101-129

Report number:

DESY-95-009

View in:

KEK scanned document

reference search9 citations

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space-time
quantum mechanics
chaos
energy levels
numerical calculations

References(15)

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- Phys.Scripta T 9 184

- Annals Math. 35 588

- Mathematika 36 221

- Math.Proc.Cambridge Phil.Soc. 92 79

On the Periodic Orbits of a Strongly Chaotic System

R. Aurich
(
- Hamburg U.
)
,
F. Steiner
(
- Hamburg U.
)

- Physica D 32 (1988) 451-460

- Funct.Anal.Appl. 3 335

Quantization rules for strongly chaotic systems

R. Aurich
(
- Hamburg U.
)
,
J. Bolte
(
- Hamburg U.
)

- Mod.Phys.Lett.B 6 (1992) 1691-1720
•
DOI:
- 10.1142/S0217984992001393

- Phys.Rev.Lett. 69 2188

- Phys.Rev.Lett. 69 1477

- Nonlinearity 6 935

Some studies on arithmetical chaos in classical and quantum mechanics

Jens Bolte
(
- Hamburg U.
)

- Int.J.Mod.Phys.B 7 (1993) 4451-4554
•
e-Print:
- chao-dyn/9305005
•
DOI:
- 10.1142/S0217979293003759

- Commun.Math.Phys. 161 195

Classical and Quantum Mechanics of a Strongly Chaotic Billiard System

M. Sieber
(
- Hamburg U.
)
,
F. Steiner
(
- Hamburg U.
)

- Physica D 44 (1990) 248-266

A New rule for quantizing chaos

- Phys.Rev.Lett. 68 (1992) 1629-1632
•
DOI:
- 10.1103/PhysRevLett.68.1629

- J.Indian Math.Soc. 20 49