Action Functional for a Particle with Damping

Year: 2019

Authors: De Bettin F., Cappellaro A., Salasnich L.

Autors Affiliation: Univ Padua, Dipartimento Fis & Astron Galileo Galilei, Via Marzolo 8, I-35131 Padua, Italy; CNR, Ist Nazl Ott, Via Nello Carrara 1, I-50019 Sesto Fiorentino, Italy

Abstract: In this brief report we discuss the action functional of a particle with damping, showing that it can be obtained from the dissipative equation of motion through a modification which makes the new dissipative equation invariant for time reversal symmetry. This action functional is exactly the effective action of Caldeira-Leggett model but, in our approach, it is derived without the assumption that the particle is weakly coupled to a bath of infinite harmonic oscillators.

Journal/Review: CONDENSED MATTER

Volume: 4 (3)      Pages from: 81-1  to: 81-9

KeyWords: quantum tunneling; dissipation; effective action
DOI: 10.3390/condmat4030081

Citations: 1
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