تقرير
A trivial observation on time reversal in random matrix theory
| العنوان: | A trivial observation on time reversal in random matrix theory |
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| المؤلفون: | Kaplan, L., Leyvraz, F., Pineda, C., Seligman, T. H. |
| المصدر: | J. Phys. A: Math. Theor. 40 F1063-F1068 (2007) |
| سنة النشر: | 2007 |
| المجموعة: | Quantum Physics |
| مصطلحات موضوعية: | Quantum Physics |
| الوصف: | It is commonly thought that a state-dependent quantity, after being averaged over a classical ensemble of random Hamiltonians, will always become independent of the state. We point out that this is in general incorrect: if the ensemble of Hamiltonians is time reversal invariant, and the quantity involves the state in higher than bilinear order, then we show that the quantity is only a constant over the orbits of the invariance group on the Hilbert space. Examples include fidelity and decoherence in appropriate models. Comment: 7 pages 3 figures |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1088/1751-8113/40/49/F04 |
| URL الوصول: | http://arxiv.org/abs/0709.3353 |
| رقم الأكسشن: | edsarx.0709.3353 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1088/1751-8113/40/49/F04 |
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