Spectral properties of the two-dimensional multiwell potential
Two-dimensional multiwell Hamiltonian system with four local minima is considered. The motion of the system shifts from regular to chaotic through “mixed state”, i.e. the state, when regular and irregular regimes of motion coexist in different local minima. Three regimes of motion – regular ( R),...
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| Date: | 2007 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Національний науковий центр «Харківський фізико-технічний інститут» НАН України
2007
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| Series: | Вопросы атомной науки и техники |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/110965 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Spectral properties of the two-dimensional multiwell potential / N.A. Chekanov, E.V. Shevchenko // Вопросы атомной науки и техники. — 2007. — № 3. — С. 270-264. — Бібліогр.: 10 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | Two-dimensional multiwell Hamiltonian system with four local minima is considered. The motion of the system
shifts from regular to chaotic through “mixed state”, i.e. the state, when regular and irregular regimes of motion
coexist in different local minima. Three regimes of motion – regular ( R), mixed state (RC), and chaotic (C) – are
considered. For each energy region the spectrum is calculated by direct diagonalization in polar coordinates, the
eigenstates are classified according to the irreducible representations of C3v -point group, and the spectral
statistical properties are analyzed and compared to the theoretical predictions for integrable, chaotic and generic
(neither regular nor chaotic) systems. |
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