Application of the Feynman-Kac path integral method in finding the ground state of quantum systems

1997 ◽  
Vol 105 (2-3) ◽  
pp. 108-126 ◽  
Author(s):  
J.M. Rejcek ◽  
S. Datta ◽  
N.G. Fazleev ◽  
J.L. Fry ◽  
A. Korzeniowski
Keyword(s):  
Path Integral ◽  
Ground State ◽  
Integral Method ◽  
Quantum Systems ◽  
Path Integral Method

EFFECT OF CHARGE–PLASMON INTERACTION TO THE EFFECTIVE MASS OF A CHARGED PARTICLE IN SOLIDS

2004 ◽  
Vol 18 (08) ◽  
pp. 1225-1234
Author(s):  
UDOMSILP PINSOOK ◽  
VIRULH SA-YAKANIT ◽  
THITI BOVORNRATANARAKS
Keyword(s):  
Charged Particle ◽  
Effective Mass ◽  
Path Integral ◽  
Ground State ◽  
Integral Method ◽  
State Energy ◽  
Elementary Excitation ◽  
Slow Positron ◽  
Path Integral Method ◽  
Plasmon Interaction

We use Feynman variational path integral method to study the effective mass of a charged particle in solids in which plasmons are an elementary excitation. This approach has an advantage as the ground state energy and the effective mass can be expressed analytically. We examine a particular case, i.e. the motion of a slow positron in metals. We find that the effective mass increases with rs. The results are compared with those of a similar approach and of experiments. Nevertheless, the effect of the charge–plasmon interaction cannot fully account for the large positron effective mass in metals. The discrepancies are discussed.

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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