scholarly journals Path-integral approach to the one-dimensional large-UHubbard model

1992 ◽  
Vol 45 (14) ◽  
pp. 7850-7871 ◽  
Author(s):  
Z. Y. Weng ◽  
D. N. Sheng ◽  
C. S. Ting ◽  
Z. B. Su
Keyword(s):  
Path Integral ◽  
Integral Approach ◽  
One Dimensional ◽  
Path Integral Approach ◽  
The One

scholarly journals A PATH INTEGRAL APPROACH TO DERIVATIVE SECURITY PRICING I: FORMALISM AND ANALYTICAL RESULTS

1999 ◽  
Vol 02 (04) ◽  
pp. 381-407 ◽  
Author(s):  
ELEONORA BENNATI ◽  
MARCO ROSA-CLOT ◽  
STEFANO TADDEI
Keyword(s):  
Financial Markets ◽  
Path Integral ◽  
Integral Approach ◽  
Covariant Formulation ◽  
One Dimensional ◽  
Path Integral Approach ◽  
Financial Interest ◽  
Security Pricing ◽  
The One ◽  
Pde Methods

We use a path integral approach for solving the stochastic equations underlying the financial markets, and show the equivalence between the path integral and the usual SDE and PDE methods. We analyze both the one-dimensional and the multi-dimensional cases, with point dependent drift and volatility, and describe a covariant formulation which allows general changes of variables. Finally we apply the method to some economic models with analytical solutions. In particular, we evaluate the expectation value of functionals which correspond to quantities of financial interest.

Path-integral approach to anomalies at finite temperature

1990 ◽  
Vol 68 (1) ◽  
pp. 96-103 ◽  
Author(s):  
T. F. Treml
Keyword(s):  
Vector Field ◽  
Path Integral ◽  
Finite Temperature ◽  
Dimensional Regularization ◽  
Flat Space ◽  
Integral Approach ◽  
Chiral Anomaly ◽  
Conformal Anomaly ◽  
Path Integral Approach ◽  
The One

The non-Abelian chiral anomaly for a fermion interacting with an external vector field in any even dimension and the conformal anomaly, in the limit of flat space–time, for a self-interacting scalar field are shown to be independent of temperature using a simple path-integral approach that employs dimensional regularization. The chiral anomaly is used as an example to show that the methods used to study the dimensionally regularized anomaly at finite temperature are readily transferable to the case of ζ-function regularization. The conformal anomaly in (super) string theory at finite temperature is briefly discussed in the light of known results. Some subtleties concerning the use of infrared cutoffs in a dimensionally regularized approach to the computation of the one-loop effective action at finite temperature are considered in an appendix.

scholarly journals A THEORY OF ALGEBRAIC INTEGRATION

2000 ◽  
Vol 14 (22n23) ◽  
pp. 2293-2297
Author(s):  
R. CASALBUONI
Keyword(s):  
Large Class ◽  
Configuration Space ◽  
Path Integral ◽  
Physical Principle ◽  
Integral Approach ◽  
Path Integral Approach ◽  
The One ◽  
Definition Of

In this paper we study the problem of quantizing theories defined over a nonclassical configuration space. If one follows the path-integral approach, the first problem one is faced with is the one of definition of the integral over such spaces. We consider this problem and we show how to define an integration which respects the physical principle of composition of the probability amplitudes for a very large class of algebras.

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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