Thrapsaniotis, E.G. (2022) Angular Decomposition and Sign Solved Propagator of the 2D and 3D Helium Atom Path Integrals. Journal of Applied Mathematics and Physics, 10, 538-557.
https://doi.org/10.4236/jamp.2022.102040

has been cited by the following article:

• TITLE: Dynamics of a Quantum Dissipative System Coupled with an Oscillator

  AUTHORS: Emmanouil George Thrapsaniotis

  KEYWORDS: Double Well, Harmonic Bath, Oscillator, Influence Functional, Sign Solved Propagator, Position

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.12 No.4, April 30, 2024

  ABSTRACT: We study the dynamics of a quantum dissipative system. Besides its linear coupling with a harmonic bath modelling the dissipation, we suppose that it is coupled with an oscillator with an interaction of the form s 2 x 2 . In our study, we integrate over the bath and the oscillator, extract the corresponding influence functionals and then solve the system’s sign problem. We apply the theory to the case of a double well and study the time evolution of the expectation value of the position.