NUMERICAL SOLUTION TO THE OPTICAL POLARON PROBLEM FOR A WIDE RANGE OF COUPLINGS

1991 ◽  
Vol 05 (09) ◽  
pp. 613-620 ◽  
Author(s):  
C. ALEXANDROU ◽  
W. FLEISCHER ◽  
R. ROSENFELDER
Keyword(s):  
Numerical Solution ◽  
Numerical Method ◽  
Effective Mass ◽  
Path Integral ◽  
Variational Approach ◽  
Integral Formulation ◽  
Path Integral Formulation ◽  
Wide Range

We review a reliable numerical method to solve for the energy and effective mass of the optical polaron for a wide range of couplings. This is accomplished by combining Feynman’s variational approach with partial averaging over the higher Fourier components in the path integral formulation.

Path integral formulation of centroid dynamics for systems obeying Bose–Einstein statistics

2001 ◽  
Vol 115 (10) ◽  
pp. 4484-4495 ◽  
Author(s):  
Nicholas V. Blinov ◽  
Pierre-Nicholas Roy ◽  
Gregory A. Voth
Keyword(s):  
Path Integral ◽  
Integral Formulation ◽  
Path Integral Formulation ◽  
Bose Einstein

Path Integral Calculations of Particle Self-Energy and Effective Mass in Coulomb Systems

1997 ◽  
Vol 11 (04) ◽  
pp. 129-138 ◽  
Author(s):  
V. Sa-Yakanit ◽  
V. D. Lakhno ◽  
Klaus Haß
Keyword(s):  
Effective Mass ◽  
Path Integral ◽  
State Energy ◽  
Coulomb Systems ◽  
Integral Approach ◽  
Coupling Region ◽  
Self Energy ◽  
Consistent Approximation ◽  
A Value ◽  
Wide Range

The generalized path integral approach is applied to calculate the ground state energy and the effective mass of an electron-plasmon interacting system for a wide range of densities. It is shown that in the self-consistent approximation an abrupt transition between the weak coupling and the strong coupling region of interaction exists. The transition occurs at low electron densities according to a value of 418 for rs, when Wigner crystallization is possible. For densities of real metals, the electron bandwidth is calculated and a comparison with experimental results is given.

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