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The dissipative quantum system is studied using the Thirring model with aboundary mass. At the critical point where the Thirring coupling vanishes, thetheory reduces to a free fermion theory with a boundary mass. We constructboundary states for the dissipative quantum systems in one dimension, whichdescribes the system off the critical points as well as at the critical points.

Boundary State for Dissipative Quantum Mechanics and Thirring Model