dorsal/arxiv
View SchemaDissipative Mechanics Using Complex-Valued Hamiltonians
| Authors | S. G. Rajeev |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0701141 |
| URL | https://arxiv.org/abs/quant-ph/0701141 |
Abstract
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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"abstract": "We show that a large class of dissipative systems can be brought to a\ncanonical form by introducing complex co-ordinates in phase space and a\ncomplex-valued hamiltonian. A naive canonical quantization of these systems\nlead to non-hermitean hamiltonian operators. The excited states are unstable\nand decay to the ground state . We also compute the tunneling amplitude across\na potential barrier.",
"arxiv_id": "quant-ph/0701141",
"authors": [
"S. G. Rajeev"
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"title": "Dissipative Mechanics Using Complex-Valued Hamiltonians",
"url": "https://arxiv.org/abs/quant-ph/0701141"
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