Hypoflorous acid (HOF): A molecule with a rare (1,-2,-1) vibrational resonance and (8,3,2) polyad structure revealed by Padé-Hermite resummation of divergent Rayleigh-Schrödinger perturbation theory series

2021 ◽  
Vol 268 ◽  
pp. 107620
Author(s):  
Sergey V. Krasnoshchekov ◽  
Egor O. Dobrolyubov ◽  
Xuanhao Chang
Keyword(s):  
Perturbation Theory ◽  
Vibrational Resonance ◽  
Schrödinger Perturbation ◽  
Theory Series

Calculation of vibrational HDO energy levels: Analysis of perturbation theory series

2013 ◽  
Vol 114 (3) ◽  
pp. 359-367 ◽  
Author(s):  
A. D. Bykov ◽  
K. V. Kalinin ◽  
A. N. Duchko
Keyword(s):  
Perturbation Theory ◽  
Energy Levels ◽  
Theory Series

Applicability of the schrödinger perturbation theory to bound states

1964 ◽  
Vol 10 (1) ◽  
pp. 73 ◽  
Author(s):  
K. Hausmann ◽  
W. Macke ◽  
P. Ziesche
Keyword(s):  
Perturbation Theory ◽  
Bound States ◽  
Schrödinger Perturbation

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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