Finite depth square well model: Applicability and limitations

2005 ◽  
Vol 97 (7) ◽  
pp. 073706 ◽  
Author(s):  
Giovanni Pellegrini ◽  
Giovanni Mattei ◽  
Paolo Mazzoldi
Keyword(s):  
Finite Depth ◽  
Well Model ◽  
Square Well

scholarly journals Kinetic theory of soft matter. The penetrable-square-well model

2019 ◽  
Author(s):  
José Luis Sánchez-Tena ◽  
Andrés Santos ◽  
Pablo Pajuelo
Keyword(s):  
Kinetic Theory ◽  
Soft Matter ◽  
Well Model ◽  
Square Well

Density profiles of a double square-well model of a chemically associating fluid near a hard wall

1995 ◽  
Vol 86 (4) ◽  
pp. 649-664 ◽  
Author(s):  
Orest Pizio ◽  
Andrij Trokhymchuk ◽  
Stefan Sokołowski
Keyword(s):  
Hard Wall ◽  
Density Profiles ◽  
Well Model ◽  
Square Well

Kinetic Theory of Dense‐Fluid Mixtures. IV. Square‐Well Model Computations

1967 ◽  
Vol 47 (6) ◽  
pp. 2082-2089 ◽  
Author(s):  
J. Palyvos ◽  
K. D. Luks ◽  
I. L. McLaughlin ◽  
H. T. Davis
Keyword(s):  
Kinetic Theory ◽  
Fluid Mixtures ◽  
Dense Fluid ◽  
Well Model ◽  
Square Well

Kinetic Theory of Dense Fluid Mixtures. I. Square‐Well Model

1966 ◽  
Vol 45 (6) ◽  
pp. 2020-2031 ◽  
Author(s):  
Ian L. McLaughlin ◽  
H. Ted Davis
Keyword(s):  
Kinetic Theory ◽  
Fluid Mixtures ◽  
Dense Fluid ◽  
Well Model ◽  
Square Well

scholarly journals A quantum moat barrier, realized with a finite square well

2021 ◽  
Author(s):  
A. Ibrahim ◽  
F. Marsiglio
Keyword(s):  
Ground State ◽  
Wave Functions ◽  
Attractive Potential ◽  
Repulsive Potential ◽  
Well Model ◽  
Barrier Region ◽  
Square Well ◽  
Matrix Diagonalization ◽  
Double Well Potential

The notion of a double well potential typically involves two regions of space separated by a repulsive potential barrier. The ground state is a wave function that is suppressed in the barrier region and localized in the two surrounding regions. We illustrate that an attractive potential well (a quantum moat) with a finite non-zero width also acts as a barrier, using a simple square well model. We also show how the pseudopotential method both explains the role of the well as a barrier, and greatly improves the efficiency of constructing wave functions for this system using matrix diagonalization. With this simplified model we provide an introduction to the ideas typically used to simplify calculations in solids, where in place of the double well potential, multiple potentials occur in a periodic array.

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