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首页> 外文期刊>Physica Scripta: An International Journal for Experimental and Theoretical Physics >Interrelations between different canonical descriptions of dissipative systems
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Interrelations between different canonical descriptions of dissipative systems

机译：耗散系统的不同规范描述之间的相互关系

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摘要

There are many approaches for the description of dissipative systems coupled to some kind of environment. This environment can be described in different ways; only effective models are being considered here. In the Bateman model, the environment is represented by one additional degree of freedom and the corresponding momentum. In two other canonical approaches, no environmental degree of freedom appears explicitly, but the canonical variables are connected with the physical ones via non-canonical transformations. The link between the Bateman approach and those without additional variables is achieved via comparison with a canonical approach using expanding coordinates, as, in this case, both Hamiltonians are constants of motion. This leads to constraints that allow for the elimination of the additional degree of freedom in the Bateman approach. These constraints are not unique. Several choices are studied explicitly, and the consequences for the physical interpretation of the additional variable in the Bateman model are discussed.
机译：有多种描述与某种环境耦合的耗散系统的方法。这个环境可以用不同的方式描述。这里只考虑有效的模型。在贝特曼模型中，环境由一个附加的自由度和相应的动量表示。在其他两种规范方法中，没有明确显示环境自由度，但是规范变量通过非规范转换与物理变量关联。贝特曼方法与没有其他变量的方法之间的联系是通过与使用扩展坐标的规范方法进行比较来实现的，因为在这种情况下，两个哈密顿量都是运动常数。这导致了限制，该限制允许消除Bateman方法中的额外自由度。这些约束不是唯一的。明确地研究了几种选择，并讨论了对Bateman模型中附加变量的物理解释的结果。

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