Study of the convergence radius of the Rayleigh-Schrödinger perturbation series for the delta-function model of H 2+

1969 ◽  
Vol 3 (3) ◽  
pp. 349-370 ◽  
Author(s):  
Pierre Claverie
Keyword(s):  
Delta Function ◽  
Perturbation Series ◽  
Convergence Radius ◽  
Function Model ◽  
Schrödinger Perturbation

scholarly journals The BAW and SAW coupling analysis of patterned piezoelectric films as inter-digital transducers on diamond substrates using delta-function model

AIP Advances ◽  
2021 ◽  
Vol 11 (8) ◽  
pp. 085006
Author(s):  
B. W. Xie ◽  
F. Z. Ding ◽  
H. J. Shang ◽  
D. X. Huang ◽  
T. G. Li ◽  
...  
Keyword(s):  
Delta Function ◽  
Function Model ◽  
Coupling Analysis ◽  
Piezoelectric Films ◽  
Digital Transducers

Analytical expressions for the energies of anharmonic oscillators

2000 ◽  
Vol 78 (9) ◽  
pp. 845-850
Author(s):  
F M Fernández ◽  
R H Tipping
Keyword(s):  
Perturbation Parameter ◽  
Bound State ◽  
Perturbation Series ◽  
Simple Expression ◽  
Branch Points ◽  
Anharmonic Oscillators ◽  
Large Coupling ◽  
Analytical Behavior ◽  
Schrödinger Perturbation ◽  
Analytical Expressions

We propose a systematic construction of algebraic approximants for the bound-state energies of anharmonic oscillators. The approximants are based on the Rayleigh-Schrödinger perturbation series and take into account the analytical behavior of the energies at large values of the perturbation parameter. A simple expression obtained from a low-order perturbation series compares favorably with alternative approximants. Present approximants converge in the large-coupling limit and are suitable for the calculation of the energy of highly excited states. Moreover, we obtain some branch points of the eigenvalues of the anharmonic oscillator as functions of the coupling constant. PACS No.: 03.65Ge

Stability of Coupled-Core Nuclear Reactors: Selected Exact Results

1967 ◽  
Vol 89 (2) ◽  
pp. 283-286
Author(s):  
S. J. Gage ◽  
F. T. Adler
Keyword(s):  
Time Distribution ◽  
Nuclear Reactors ◽  
Delta Function ◽  
Step Function ◽  
Single Step ◽  
Exact Results ◽  
Stability Criteria ◽  
Function Model ◽  
Analytical Stability ◽  
The One

Exact analytical stability criteria are derived for the coupled-core kinetics equations. Four approximate models for describing the time distribution of the coupling neutrons are considered and a theorem proved by Pontryagin is used to establish the asymptotic stability of the systems. The criterion based on the Single Delta Function Model is compared with the one based on the Single Step Function Model.

scholarly journals Solution of the Delta Function Model for Heliumlike Ions

1971 ◽  
Vol 55 (5) ◽  
pp. 2474-2483 ◽  
Author(s):  
Carey M. Rosenthal
Keyword(s):  
Delta Function ◽  
Function Model
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