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math-ph2018★ 8 cited
Taming Hamiltonian systems with balanced loss and gain via Lorentz interaction : General results and a case study with Landau Hamiltonian
Pijush K. Ghosh
The kinetic energy term of Hamiltonian systems with balanced loss and gain is not semi-positive-definite, leading to instabilities at the classical as well quantum level. It is sho…
math-ph2018★ 9 cited
Integrable coupled Linard-type systems with balanced loss and gain
Debdeep Sinha, Pijush K. Ghosh
A Hamiltonian formulation of generic many-particle systems with space-dependent balanced loss and gain coefficients is presented. It is shown that the balancing of loss and gain ne…