Dissipative Mechanics Using Complex-Valued Hamiltonians

Details Dissipative Mechanics Using Complex-Valued Hamiltonians Dissipative Mechanics Using Complex-Valued Hamiltonians

2007-01-19

arxiv.org/abs/quant-ph/0701141v1

Physics

Quantum Physics

Scientific paper

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.

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