yinhow
发表文章数: 727
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what is quantum chaos?
| 发表时间：2005-01-17, 07:39:37 |
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sage
发表文章数: 1125
武功等级: 天山六阳掌
(第六重)
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Re: what is quantum chaos?
hahaha... not very much different from other branches of physics.
anyway, here is my personal and ignorant point of view
mostly, choas is a mathematical statement about the behavior of classes of non-linear differential equations. therefore, any system (weather, animal population, stock market, many body problem...) which is described by some specific kind of differential equations could be and has been called choatic. There are a lot of mathematical handles to study these equations which I am sure all of you know much more than I do.
However, quantum versus classical mechanics are physics statements (very different point of view in terms of interpretation of measurements, and so on). I think we could have quantum systems which display chaos. however, this seems to come only from the fact that we have non-linear equations, not that the system is intrinsically quantum mechanical.
Please let me know what is wrong with this point of view.
| 发表时间：2005-01-17, 13:53:33 |
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星空浩淼
发表文章数: 1743
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Re: what is quantum chaos?
将来我有时间时，愿意和大家一起详细地讨论一下这个话题，这里是一个很有趣的新天地。可能由于该科学发展的历史原因，它形成了自己相对独立的科学语境、科学方法和科学领地，似乎与传统物理学分割开来、而形成了自己独立王国。
但是非线性物理，虽然由于它的发展似乎更多地来自于数学家的贡献而充满数学语言描述习惯，但是它的确是物理的。叠代、自相似等即是数学公式表达的，也是直接对应物理图象的（比Feynman图还神奇）。我以前在这里谈到数学和物理的关系，不仅是方法论上的联系，也是本体论上的联系，就是有这些例证在里面（只是我没有说出来）。混沌并不是一种纯数学的东西，它有物理图象（只是要学会用相空间思考问题，在脑袋里面将它翻译成物理图象）。——而且现在非线性科学已经应用到工程领域，比如混沌控制，混沌信号处理（在通信中，故意在信号上面叠加混沌波，实现保密通信的目的，接受的地方知道规则，可以分离出有用信号）。总之，那时非常物理的，而不是一种数学“游戏”。
唯有与时间赛跑，方可维持一息尚存
| 发表时间：2005-01-17, 23:54:37 |
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sage
发表文章数: 1125
武功等级: 天山六阳掌
(第六重)
内力值: 535/535
Re: what is quantum chaos?
so do you call differential geometry physics? I call it mathematics. you would say but wait, it is very physical, all you have to do is translate in your head the manifold into space-time. However, this translation is precisely where mathematics end and physics starts.... I call determine what kind of equations describes physical word and testing that determination physics (theoretical and experimental, respectively). However, I call study the solutions a particular class of equations mathematics. I call the property of of those solutions (such as existence, distribution) mathematical statements waiting for applications in physics.
mappings on a unit circle by itself is mathematics. It could give rise to physics when applied to physical problems.
| 发表时间：2005-01-18, 02:00:35 |
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