A relation between two perturbation methods generating Padé upper and lower bounds to ground state eigenvalues

1992 ◽  
Vol 33 (2) ◽  
pp. 639-642
Author(s):  
A. B. Khalil
Keyword(s):  
Lower Bounds ◽  
Ground State ◽  
Perturbation Methods ◽  
Upper And Lower Bounds

Converging upper and lower bounds for ground-state energies of atomic nuclei

2005 ◽  
Vol 25 (3) ◽  
pp. 379-385
Author(s):  
G. P. Kamuntavičius ◽  
D. Germanas ◽  
R. K. Kalinauskas ◽  
S. Mickevičius ◽  
R. Žemaičinienė
Keyword(s):  
Lower Bounds ◽  
Ground State ◽  
Upper And Lower Bounds ◽  
Atomic Nuclei ◽  
Ground State Energies

scholarly journals Computable Error Bounds for a Class of Boundary Value Problems: a Coefficients Perturbation Approach

2016 ◽  
Vol 8 (6) ◽  
pp. 45
Author(s):  
Mohamed K. El Daou ◽  
Ahmad R. Al-Hamdan
Keyword(s):  
Differential Equation ◽  
Boundary Value Problems ◽  
Lower Bounds ◽  
Perturbation Methods ◽  
Boundary Value ◽  
Upper And Lower Bounds ◽  
Perturbation Approach ◽  
Numerical Techniques ◽  
Numerical Examples ◽  
Computable Error Bounds

This paper is concerned with computing  upper and lower bounds for the error committed when some boundary value problems are approximated by means of numerical techniques  based on the Coefficients Perturbation Methods. These computed bounds are expressed in terms of the perturbations introduced in the differential equation and in the prescribed boundary conditions associated with it. Numerical examples demonstrating the sharpness of our results are given.

scholarly journals Upper and lower bounds for tunneling splittings in a symmetric double-well potential

RSC Advances ◽  
2020 ◽  
Vol 10 (57) ◽  
pp. 34681-34689
Author(s):  
Miklos Ronto ◽  
Eli Pollak
Keyword(s):  
Lower Bound ◽  
Lower Bounds ◽  
Ground State ◽  
Upper And Lower Bounds ◽  
Tunneling Splittings ◽  
Double Well Potential

Ground state tunneling gaps: solid circles are mean of eigenvalues and lower bound gaps.

Sign in / Sign up

Export Citation Format

Share Document