On the Quantum‐Mechanical Pair‐Correlation Function of 4He Gas at Low Temperatures

1966 ◽  
Vol 44 (1) ◽  
pp. 213-220 ◽  
Author(s):  
Sigurd Yves Larsen ◽  
Kathleen Witte ◽  
John E. Kilpatrick
Keyword(s):  
Correlation Function ◽  
Pair Correlation Function ◽  
Low Temperatures ◽  
Pair Correlation ◽  
Quantum Mechanical

On the pair correlation function for hard spheres at low density and temperature

1968 ◽  
Vol 46 (7) ◽  
pp. 879-888 ◽  
Author(s):  
M. S. Miller ◽  
J. D. Poll
Keyword(s):  
Correlation Function ◽  
Pair Correlation Function ◽  
Hard Spheres ◽  
Pair Correlation ◽  
Quantum Mechanical Calculation ◽  
Quantum Mechanical ◽  
Low Density ◽  
Free Particles ◽  
Low Density Limit ◽  
Hard Sphere Diameters

A quantum-mechanical calculation of the pair correlation function for hard spheres in the low-density limit has been made. This calculation is, therefore, valid at low temperatures, where quantum-mechanical diffraction and symmetry effects are important. Results are given for various temperatures and hard-sphere diameters. The pair correlation function is presented in the form g = gB + gS, where gB is the correlation function for Boltzmann particles and gS describes the symmetry effects. It is found that gS(R) for any value of the separation R is always smaller than the corresponding value for free particles.

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