Perturbation theory for thermodynamic properties of a ν-dimensional square-well fluid

Pramana ◽  
1990 ◽  
Vol 35 (5) ◽  
pp. 473-483 ◽  
Author(s):  
J P Sinha ◽  
S K Sinha
Pramana ◽  
1990 ◽  
Vol 34 (2) ◽  
pp. 123-131 ◽  
Author(s):  
A K Singh ◽  
T K Dey ◽  
S K Sinha

2018 ◽  
Vol 33 (02) ◽  
pp. 1850009 ◽  
Author(s):  
Miloslav Znojil ◽  
Iveta Semorádová

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.


2019 ◽  
Vol 118 (1) ◽  
pp. e1582813 ◽  
Author(s):  
Mostafa Abolala ◽  
Kiana Peyvandi ◽  
Farshad Varaminian ◽  
Seyed Majid Hashemianzadeh

1975 ◽  
Vol 62 (3) ◽  
pp. 1116-1121 ◽  
Author(s):  
W. W. Lincoln ◽  
John J. Kozak ◽  
K. D. Luks

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