Scattering problem with nonlocal separable potential of rank-two: Application to statistical mechanics

2007 ◽  
Vol 382 (2) ◽  
pp. 537-548 ◽  
Author(s):  
Nader Tahmasbi ◽  
Ali Maghari
1993 ◽  
Vol 08 (18) ◽  
pp. 3163-3184 ◽  
Author(s):  
TONY GHERGHETTA ◽  
YOICHIRO NAMBU

We extend the nonlocal separable potential solutions of Gourdin and Martin for the inverse scattering problem to the case where sin δ0 has more than N zeroes, δ0 being the s-wave scattering phase shift and δ0(0) − δ0(∞) = Nπ. As an example we construct the solution for the particular case of 4 He and show how to incorporate a weakly bound state. Using a local square well potential chosen to mimic the real 4 He potential, we compare the off-shell extension of the nonlocal potential solution with the exactly solvable square well. We then discuss how a nonlocal potential might be used to simplify the many-body problem of liquid 4 He .


1975 ◽  
Vol 30 (3) ◽  
pp. 385-392 ◽  
Author(s):  
A. A. Z. Ahmad ◽  
S. Ali ◽  
N. Ferdous ◽  
M. Ahmed

1972 ◽  
Vol 42 (1) ◽  
pp. 24-26 ◽  
Author(s):  
J.V. Meboniya ◽  
I.G. Surmava

1988 ◽  
Vol 38 (2) ◽  
pp. 1076-1077 ◽  
Author(s):  
M. G. Calkin ◽  
D. Kiang ◽  
Y. Nogami

1974 ◽  
Vol 9 (4) ◽  
pp. 1657-1658 ◽  
Author(s):  
S. Ali ◽  
M. Rahman ◽  
D. Husain

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