Second-order correction to Feynman’s path-integral calculation of the polaron effective mass

1992 ◽  
Vol 46 (9) ◽  
pp. 5211-5220 ◽  
Author(s):  
Yang Lu ◽  
R. Rosenfelder
Keyword(s):  
Effective Mass ◽  
Path Integral ◽  
Second Order ◽  
Order Correction

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.

scholarly journals Feynman Path-Integral Calculation of the Polaron Effective Mass

1970 ◽  
Vol 2 (10) ◽  
pp. 4283-4287 ◽  
Author(s):  
John T. Marshall ◽  
M. S. Chawla
Keyword(s):  
Effective Mass ◽  
Path Integral ◽  
Feynman Path Integral ◽  
Feynman Path

scholarly journals QUANTIZATION OF SINGULAR SYSTEMS WITH SECOND-ORDER LAGRANGIANS

2002 ◽  
Vol 17 (36) ◽  
pp. 2383-2391 ◽  
Author(s):  
SAMI I. MUSLIH
Keyword(s):  
Path Integral ◽  
Singular Systems ◽  
Second Order ◽  
Integral Formulation ◽  
Path Integral Formulation ◽  
Path Integral Quantization

The path integral formulation of singular systems with second-order Lagrangians is constructed by using the canonical method. The path integral quantization of Podolsky electrodynamics is studied.

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