Chaos-revealing multiplicative representation of quantum eigenstates
Leboeuf, P. ; Voros, André
HAL, hal-00164337 / Harvested from HAL
The quantization of the two-dimensional toric and spherical phase spaces is considered in analytic coherent state representations. Every pure quantum state admits there a finite multiplicative parametrization by the zeros of its Husimi function. For eigenstates of quantized systems, this description explicitly reflects the nature of the underlying classical dynamics: in the semiclassical regime, the distribution of the zeros in the phase space becomes one-dimensional for integrable systems, and highly spread out (conceivably uniform) for chaotic systems. This multiplicative representation thereby acquires a special relevance for semiclassical analysis in chaotic systems.
Publié le : 1990-07-05
Classification:  [PHYS.PHYS.PHYS-GEN-PH]Physics [physics]/Physics [physics]/General Physics [physics.gen-ph],  [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph]
@article{hal-00164337,
     author = {Leboeuf, P. and Voros, Andr\'e},
     title = {Chaos-revealing multiplicative representation of quantum eigenstates},
     journal = {HAL},
     volume = {1990},
     number = {0},
     year = {1990},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00164337}
}
Leboeuf, P.; Voros, André. Chaos-revealing multiplicative representation of quantum eigenstates. HAL, Tome 1990 (1990) no. 0, . http://gdmltest.u-ga.fr/item/hal-00164337/