Calculation of correlated initial state in the hierarchical equations of motion method using an imaginary time path integral approach

2015 ◽  
Vol 143 (19) ◽  
pp. 194106 ◽  
Author(s):  
Linze Song ◽  
Qiang Shi
Keyword(s):  
Path Integral ◽  
Equations Of Motion ◽  
Integral Approach ◽  
Imaginary Time ◽  
Initial State ◽  
Path Integral Approach ◽  
Time Path ◽  
Motion Method

scholarly journals Modeling quantum nuclei with perturbed path integral molecular dynamics

2016 ◽  
Vol 7 (2) ◽  
pp. 1368-1372 ◽  
Author(s):  
Igor Poltavsky ◽  
Alexandre Tkatchenko
Keyword(s):  
Molecular Dynamics ◽  
Perturbation Theory ◽  
Quantum Mechanics ◽  
Path Integral ◽  
Integral Approach ◽  
Imaginary Time ◽  
Path Integral Approach ◽  
Time Path ◽  
Nuclear Effects

Here we combine perturbation theory with the Feynman–Kac imaginary-time path integral approach to quantum mechanics for modeling quantum nuclear effects.

scholarly journals Peierls brackets in non-Lagrangian field theory

2014 ◽  
Vol 29 (27) ◽  
pp. 1450157 ◽  
Author(s):  
A. A. Sharapov
Keyword(s):  
Field Theory ◽  
Poisson Bracket ◽  
Path Integral ◽  
Deformation Quantization ◽  
Equations Of Motion ◽  
Integral Approach ◽  
Lagrangian Dynamics ◽  
Path Integral Approach ◽  
Lagrangian Field Theory

The concept of Lagrange structure allows one to systematically quantize the Lagrangian and non-Lagrangian dynamics within the path-integral approach. In this paper, I show that any Lagrange structure gives rise to a covariant Poisson bracket on the space of solutions to the classical equations of motion, be they Lagrangian or not. The bracket generalize the well-known Peierls' bracket construction and make a bridge between the path-integral and the deformation quantization of non-Lagrangian dynamics.

Real-time path-integral approach for general two-state multi-mode vibronic-coupling models

1996 ◽  
Vol 206 (1-2) ◽  
pp. 63-72 ◽  
Author(s):  
Stefan Krempl ◽  
Wolfgang Domcke ◽  
Manfred Winterstetter
Keyword(s):  
Real Time ◽  
Path Integral ◽  
Vibronic Coupling ◽  
Integral Approach ◽  
Path Integral Approach ◽  
Time Path ◽  
Multi Mode
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