Canonical Quantization Approach of a Class of a Dissipative System: Applications to Quantum Tunnelling with Dissipative Coupling
Quantum Physics
2017-05-12 v1
Abstract
We present a formalism for which a dissipative system is given by a variational principle. The formalism applies to dynamical systems where its trajectory is monotonic. Subsequently, we derive its Lagrangian and Hamiltonian. From the Hamiltonian, we quantize canonically the classical particle in a viscous media. We study the free quantum particle in a viscous media and the dissipative quantum tunnelling. It is found that the dissipation influences tunnelling probability by a factor that closely resembles the result of Caldeira and Leggett.
Keywords
Cite
@article{arxiv.1705.04156,
title = {Canonical Quantization Approach of a Class of a Dissipative System: Applications to Quantum Tunnelling with Dissipative Coupling},
author = {N. Emir Anuar},
journal= {arXiv preprint arXiv:1705.04156},
year = {2017}
}