2007/01/19 by S. G. Rajeev, Rajeev, S. G.
Mathematics · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Quantum Mechanics and Non-Hermitian Physics #Quantum Physics (quant-ph) #Quantum chaos and dynamical systems #Statistical Mechanics (cond-mat.stat-mech) #Symplectic Geometry (math.SG) #cond-mat.stat-mech #hep-th #math-ph #math.DS #math.MP #math.SG #quant-ph
paper · pdf · doi:10.48550/arxiv.quant-ph/0701141
arxiv created 2007/01/19 · openalex publication_date 2007/01/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.