Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1855311 | Annals of Physics | 2007 | 15 Pages |
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 by solving the dissipative version of the Schrödinger equation. We then generalize the formalism to cases where the configuration space is a curved Riemannian manifold.
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Authors
S.G. Rajeev,