Quantum dynamics of a dissipative particle in a constant field: Exact path-integral approach

1994 ◽  
Vol 49 (23) ◽  
pp. 16277-16282 ◽  
Author(s):  
Xin-Qi Li ◽  
Zhao-Bin Su ◽  
Fu-Zhou Gong
Keyword(s):  
Path Integral ◽  
Quantum Dynamics ◽  
Integral Approach ◽  
Constant Field ◽  
Path Integral Approach

scholarly journals DBI-type tachyons for inverse cosh potential

2014 ◽  
Vol 12 (2) ◽  
pp. 117-137
Author(s):  
Dragoljub Dimitrijevic ◽  
Goran Djordjevic ◽  
Milan Milosevic ◽  
Ljubisa Nesic
Keyword(s):  
Scalar Field ◽  
String Theory ◽  
Path Integral ◽  
Quantum Dynamics ◽  
Integral Approach ◽  
Feynman Path Integral ◽  
Feynman Path ◽  
Path Integral Approach ◽  
Cosmological Inflation

We consider classical and quantum dynamics of a tachyonic system described by a DBI type Lagrangian and inverse cosh potential. This investigation is partially motivated by the string theory and D-brane dynamics, but mostly by their application in cosmological inflation. A formalism for describing dynamics of spatially homogenous tachyon scalar field with this kind of potentials is developed. Classical actions and corresponding quantum propagators in the Feynman path integral approach, both on real and nonarchimedean spaces, are calculated. Possibilities for a quantum adelic generalization of these models are noticed. Cosmological applications are pointed out and discussed.

scholarly journals Numerical Path Integral Approach to Quantum Dynamics and Stationary Quantum States

2015 ◽  
Vol 18 (1) ◽  
pp. 91-103 ◽  
Author(s):  
Ilkka Ruokosenmäki ◽  
Tapio T. Rantala
Keyword(s):  
Real Time ◽  
Path Integral ◽  
Quantum Dynamics ◽  
Integral Approach ◽  
Test Cases ◽  
One Dimensional ◽  
Path Integral Approach ◽  
Novel Approach ◽  
Stationary Quantum ◽  
And Performance

AbstractApplicability of Feynman path integral approach to numerical simulations of quantum dynamics of an electron in real time domain is examined. Coherent quantum dynamics is demonstrated with one dimensional test cases (quantum dot models) and performance of the Trotter kernel as compared with the exact kernels is tested. Also, a novel approach for finding the ground state and other stationary sates is presented. This is based on the incoherent propagation in real time. For both approaches the Monte Carlo grid and sampling are tested and compared with regular grids and sampling. We asses the numerical prerequisites for all of the above.

The Path Integral Approach for the Nuclear Collective Motion

1983 ◽  
Vol 27 (2) ◽  
pp. 72-76 ◽  
Author(s):  
D Galetti ◽  
S S Mizrahi ◽  
B M Pimentel
Keyword(s):  
Path Integral ◽  
Collective Motion ◽  
Integral Approach ◽  
Path Integral Approach
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