Index

Laplace transformation

Thermal Bath Correlation Functions

Wigner distribution function

`Semiclassical' Limit for Damped

Bargmann states

Derivation of the PDE

bath correlation functions

Explicit Form of Master

Born Approximation

Born Approximation

discrete inverse

Completing the Square

double path integrals

Introduction, Motivation

expansion of influence phase

Expansion of the Influence

factorisation assumption

Assumption (factorising initial condition):

factorising initial condition

Double Path Integrals

Feynman-Vernon Influence Functional Theories

Feynman-Vernon Influence Functional Theories

Fluctuation-Dissipation Theorem (FDT)

Linear Response, Fluctuation-Dissipation Theorem

Fokker-Planck equation

Derivation of the PDE

Fourier Transformation

Solution of the PDE

Fresnel integrals

Single Path Integrals

Gauß Integrals

Solution of the PDE

influence functional

Double Path Integrals | The Influence Functional

influence phase

Influence Phase

interaction picture

Interaction Picture

Kramers-Kronig relations

Rates and Energy Shift

Lagrange Function

Single Path Integrals

linear response

Linear Response, Fluctuation-Dissipation Theorem

linear susceptibility

Linear Response, Fluctuation-Dissipation Theorem

Liouville-von-Neumann equation

Interaction Picture

M. Lax

Correlation Functions

Markov approximation

Explicit Form of Master

memory kernel

Correlation Functions

Metha-formula

Revision: $P$-representation

method of characteristics

Solution of the PDE

nano-electromechanical systems

Remarks

operator form of influence functional

The Influence Functional

path

Single Path Integrals

path integral

Single Path Integrals

polaron transport

Application: Polaron-Transport

principal value

Rates and Energy Shift

propagator

Solution of the PDE | Single Path Integrals

quantum regression theorem

Correlation Functions

re-exponentiation

`Re-Exponentiation'

secular approximation

Derivation of Master equation

semiclassical limit

`Semiclassical' Limit for Damped

stochastic differential equation

Discussion

super-operator

Correlation Functions

Theorem for Delta function

Rates and Energy Shift

time-ordering operator

Time-evolution operator $U_B[q]\equiv U_B(t)$

Trotter product formula

Single Path Integrals