First-passage problem for stochastic differential equations with combined parametric Gaussian and Lévy white noises via path integral method

2021 ◽  
Vol 435 ◽  
pp. 110264
Author(s):  
Wanrong Zan ◽  
Yong Xu ◽  
Ralf Metzler ◽  
Jürgen Kurths
Keyword(s):  
Differential Equations ◽  
Stochastic Differential Equations ◽  
Path Integral ◽  
Integral Method ◽  
First Passage ◽  
Path Integral Method ◽  
White Noises ◽  
First Passage Problem

First-passage problem for nonlinear systems under Lévy white noise through path integral method

2016 ◽  
Vol 85 (3) ◽  
pp. 1445-1456 ◽  
Author(s):  
Christian Bucher ◽  
Alberto Di Matteo ◽  
Mario Di Paola ◽  
Antonina Pirrotta
Keyword(s):  
Nonlinear Systems ◽  
White Noise ◽  
Path Integral ◽  
Integral Method ◽  
First Passage ◽  
Lévy White Noise ◽  
Path Integral Method ◽  
First Passage Problem

THE CANONICAL PATH INTEGRAL QUANTIZATION OF CHIRAL SCHWINGER MODEL

2003 ◽  
Vol 18 (17) ◽  
pp. 1187-1196 ◽  
Author(s):  
S. I. MUSLIH
Keyword(s):  
Differential Equations ◽  
Path Integral ◽  
Integral Method ◽  
Equation Of Motion ◽  
Action Function ◽  
Schwinger Model ◽  
Integrability Conditions ◽  
Total Differential ◽  
Jacobi Formalism ◽  
Path Integral Method

We quantize the chiral Schwinger model by using the Hamilton–Jacobi formalism. We show that one can obtain the integrable set of equation of motion and the action function by using the integrability conditions of total differential equations and without any need to introduce unphysical auxiliary fields. The path integral for this model is obtained by using the canonical path integral method.

Theoretical study on second hyperpolarizability of H3+ system by path integral method

1997 ◽  
Vol 85 (1-3) ◽  
pp. 1159-1160 ◽  
Author(s):  
H. Nagao ◽  
M. Nakano ◽  
S. Yamada ◽  
K. Ohta ◽  
K. Yamaguchi
Keyword(s):  
Path Integral ◽  
Integral Method ◽  
Theoretical Study ◽  
Second Hyperpolarizability ◽  
Path Integral Method

An analysis of quantum effects on the thermodynamic properties of cryogenic hydrogen using the path integral method

2014 ◽  
Vol 140 (13) ◽  
pp. 134506 ◽  
Author(s):  
H. Nagashima ◽  
S. Tsuda ◽  
N. Tsuboi ◽  
M. Koshi ◽  
K. A. Hayashi ◽  
...  
Keyword(s):  
Thermodynamic Properties ◽  
Path Integral ◽  
Integral Method ◽  
Quantum Effects ◽  
Path Integral Method

The quantum bouncer by the path integral method

1991 ◽  
Vol 59 (10) ◽  
pp. 924-930 ◽  
Author(s):  
D. A. Goodings ◽  
T. Szeredi
Keyword(s):  
Path Integral ◽  
Integral Method ◽  
Path Integral Method
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