Perturbation theory for a mixture of hard spheres and square‐well molecules

1974 ◽  
Vol 61 (3) ◽  
pp. 926-931 ◽  
Author(s):  
Douglas Henderson
Keyword(s):  
Perturbation Theory ◽  
Hard Spheres ◽  
Square Well

scholarly journals Quantum square-well with logarithmic central spike

2018 ◽  
Vol 33 (02) ◽  
pp. 1850009 ◽  
Author(s):  
Miloslav Znojil ◽  
Iveta Semorádová
Keyword(s):  
Perturbation Theory ◽  
Boundary Conditions ◽  
Closed Form ◽  
Wave Functions ◽  
Change Of Variables ◽  
State Dependent ◽  
Square Well ◽  
Strength Formula ◽  
Schrödinger Perturbation ◽  
Dependent Interaction

Singular repulsive barrier [Formula: see text] inside a square-well is interpreted and studied as a linear analog of the state-dependent interaction [Formula: see text] in nonlinear Schrödinger equation. In the linearized case, Rayleigh–Schrödinger perturbation theory is shown to provide a closed-form spectrum at sufficiently small [Formula: see text] or after an amendment of the unperturbed Hamiltonian. At any spike strength [Formula: see text], the model remains solvable numerically, by the matching of wave functions. Analytically, the singularity is shown regularized via the change of variables [Formula: see text] which interchanges the roles of the asymptotic and central boundary conditions.

An equation of state for Stockmayer fluids based on a perturbation theory for dipolar hard spheres

2019 ◽  
Vol 151 (10) ◽  
pp. 104102 ◽  
Author(s):  
Marc Theiss ◽  
Thijs van Westen ◽  
Joachim Gross
Keyword(s):  
Perturbation Theory ◽  
Equation Of State ◽  
Hard Spheres

Perturbation theory using the Yvon–Born–Green equation of state for square‐well fluids

1975 ◽  
Vol 62 (3) ◽  
pp. 1116-1121 ◽  
Author(s):  
W. W. Lincoln ◽  
John J. Kozak ◽  
K. D. Luks
Keyword(s):  
Perturbation Theory ◽  
Equation Of State ◽  
Square Well
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