非完整系统的量子化。
Quantization of a nonholonomic system.
作者信息
Bloch Anthony M, Rojo Alberto G
机构信息
Department of Mathematics, University of Michigan, Ann Arbor, Michigan 48109, USA.
出版信息
Phys Rev Lett. 2008 Jul 18;101(3):030402. doi: 10.1103/PhysRevLett.101.030402. Epub 2008 Jul 15.
In this Letter, we consider the problem of quantizing a nonholonomic system. This is highly nontrivial since such a system, which is subject to nonholonomic constraints, is not variational (or Hamiltonian). Our approach is to couple the system to a field which enforces the constraint in a suitable limit. We consider a simple but representative nonholonomic system, the Chaplygin sleigh. We then quantize the full (Hamiltonian) system. This system exhibits a key complicating feature of some nonholonomic systems-internal dissipative dynamics.
在本信函中，我们考虑对一个非完整系统进行量子化的问题。这极具挑战性，因为这样一个受非完整约束的系统并非变分（或哈密顿）系统。我们的方法是将该系统与一个在适当极限下施加约束的场耦合。我们考虑一个简单但具有代表性的非完整系统——恰普雷金雪橇。然后我们对完整的（哈密顿）系统进行量子化。该系统展现出一些非完整系统的一个关键复杂特性——内部耗散动力学。
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