Simplified Reference Wave Functions for Multireference Perturbation Theory

2007 ◽  
Vol 111 (39) ◽  
pp. 9815-9822 ◽  
Author(s):  
David Robinson ◽  
Joseph J. W. McDouall
Keyword(s):  
Perturbation Theory ◽  
Wave Functions ◽  
Reference Wave ◽  
Multireference Perturbation Theory

Low-Lying Excited States of C120 and C151: A Multireference Perturbation Theory Study

2010 ◽  
Vol 114 (47) ◽  
pp. 12363-12368 ◽  
Author(s):  
Tetsuya Sakata ◽  
Yukio Kawashima ◽  
Haruyuki Nakano
Keyword(s):  
Perturbation Theory ◽  
Excited States ◽  
Multireference Perturbation Theory

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.

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