dorsal/arxiv
View SchemaQuantum Chaos at Finite Temperature - a New Approach via the Quantum Action
| Authors | L. A. Caron, H. Jirari, H. Kröger, X. Q. Luo, G. Melkonyan, K. J. M. Moriarty |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0106159 |
| URL | https://arxiv.org/abs/quant-ph/0106159 |
| Journal | on-line proceedings of 7. ICSSUR, Boston (2001) |
Abstract
We address the problem of quantum chaos: Is there a rigorous, physically meaningful definition of chaos in quantum physics? Can the tools of classical chaos theory, like Lyapunov exponents, Poincar\'e sections etc. be carried over to quantum systems? Can quantitative predictions be made? We show that the recently proposed quantum action is well suited to answer those questions. As an example we study chaotic behavior of the 2-D anharmonic oscillator and compare classical with quantum chaos. Moreover, we study quantum chaos as function of temperature (the classical system can be considered as the limit where temperature goes to infinity).
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"abstract": "We address the problem of quantum chaos: Is there a rigorous, physically\nmeaningful definition of chaos in quantum physics? Can the tools of classical\nchaos theory, like Lyapunov exponents, Poincar\\\u0027e sections etc. be carried over\nto quantum systems? Can quantitative predictions be made? We show that the\nrecently proposed quantum action is well suited to answer those questions. As\nan example we study chaotic behavior of the 2-D anharmonic oscillator and\ncompare classical with quantum chaos. Moreover, we study quantum chaos as\nfunction of temperature (the classical system can be considered as the limit\nwhere temperature goes to infinity).",
"arxiv_id": "quant-ph/0106159",
"authors": [
"L. A. Caron",
"H. Jirari",
"H. Kr\u00f6ger",
"X. Q. Luo",
"G. Melkonyan",
"K. J. M. Moriarty"
],
"categories": [
"quant-ph",
"hep-th"
],
"journal_ref": "on-line proceedings of 7. ICSSUR, Boston (2001)",
"title": "Quantum Chaos at Finite Temperature - a New Approach via the Quantum Action",
"url": "https://arxiv.org/abs/quant-ph/0106159"
},
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