Dissipative Mechanics Using Complex-Valued Hamiltonians
Dissipative Mechanics Using Complex-Valued Hamiltonians
复制标题
使用复值哈密顿量的耗散力学
DOI：
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发表时间：
2007
期刊：
影响因子：
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通讯作者：
S. Rajeev
中科院分区：
文献类型：
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作者：
S. Rajeev
我们表明，一个大类的耗散系统可以带来一个规范的形式，通过引入复杂的坐标相空间和复值哈密顿。一个朴素的正则量子化这些系统导致非厄米哈密顿算子。激发态是不稳定的，并衰减到基态。我们还计算了穿过势垒的隧穿振幅。
We show that a large class of dissipative systems can be brought to a canonical form by introducing complex co-ordinates in phase space and a complex-valued hamiltonian. A naive canonical quantization of these systems lead to non-hermitean hamiltonian operators. The excited states are unstable and decay to the ground state . We also compute the tunneling amplitude across a potential barrier.