Regular and chaotic quantum motions
In the framework of Bohm's interpretation of quantum mechanics, particles are subject to both classical and quantum forces and actually follow physical trajectories. A natural definition of chaos in quantum mechanics is therefore possible and it is measured by a quantum Lyapunov exponent. In or...
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| Published in | Physics letters. A Vol. 212; no. 1; pp. 29 - 38 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier B.V
11.03.1996
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| Subjects | |
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| Abstract | In the framework of Bohm's interpretation of quantum mechanics, particles are subject to both classical and quantum forces and actually follow physical trajectories. A natural definition of chaos in quantum mechanics is therefore possible and it is measured by a quantum Lyapunov exponent. In order to test the effectiveness of this new definition of quantum chaoticity, we have comparatively studied a classical model and a truncated
N-level quantum model of a hydrogen atom acted upon by an external electromagnetic field. We find direct evidence for the existence of quantum chaotic motions, for a chaotic transition and for a quantum attenuation of classical chaos in a broad range of external field amplitudes. |
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| AbstractList | In the framework of Bohm's interpretation of quantum mechanics, particles are subject to both classical and quantum forces and actually follow physical trajectories. A natural definition of chaos in quantum mechanics is therefore possible and it is measured by a quantum Lyapunov exponent. In order to test the effectiveness of this new definition of quantum chaoticity, we have comparatively studied a classical model and a truncated
N-level quantum model of a hydrogen atom acted upon by an external electromagnetic field. We find direct evidence for the existence of quantum chaotic motions, for a chaotic transition and for a quantum attenuation of classical chaos in a broad range of external field amplitudes. |
| Author | Pettini, Marco Iacomelli, Guglielmo |
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