期刊
EPL
卷 89, 期 4, 页码 -出版社
EPL ASSOCIATION, EUROPEAN PHYSICAL SOCIETY
DOI: 10.1209/0295-5075/89/40013
关键词
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资金
- [MTM2006-15533]
- [MTM2009-14621]
- [PIP-112-200801-01132]
We provide canonically invariant expressions to evaluate diagonal matrix elements of powers of the Hamiltonian in a scar function basis set. As a function of the energy, each matrix element consists of a smooth contribution associated with the central periodic orbit, plus oscillatory contributions given by a finite set of relevant homoclinic orbits. Each homoclinic contribution depends, in leading order, on four canonical invariants of the corresponding homoclinic orbit; a geometrical interpretation of these not well-known invariants is given. The obtained expressions are verified in a chaotic coupled quartic oscillator. Copyright (C) EPLA, 2010
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