English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

We investigate the transition from integrable to chaotic dynamics in thequantum mechanical wave functions from the point of view of the nodal structureby employing a two dimensional quartic oscillator. We find that the number ofnodal domains is drastically reduced as the dynamics of the system changes fromintegrable to nonintegrable, and then gradually increases as the system becomeschaotic. The number of nodal intersections with the classical boundary as afunction of the level number shows a characteristic dependence on the dynamicsof the system, too. We also calculate the area distribution of nodal domainsand study the emergence of the power law behavior with the Fisher exponent inthe chaotic limit.Comment: 14 figures, to appear to Phys. Rev.

Nodal domain distribution for a nonintegrable two-dimensional anharmonic oscillator