Dissipative Mechanics Using Complex-Valued Hamiltonians
量子物理
2007-05-23 v1 统计力学
高能物理 - 理论
数学物理
动力系统
math.MP
辛几何
摘要
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.
引用
@article{arxiv.quant-ph/0701141,
title = {Dissipative Mechanics Using Complex-Valued Hamiltonians},
author = {S. G. Rajeev},
journal= {arXiv preprint arXiv:quant-ph/0701141},
year = {2007}
}