Journal ArticleDOI
Lower bounds to second-order corrections to eigenvalues observables of stationary quantum systems
Reads0
Chats0
TLDR
Lower bounds to the second-order correction to the eigenvalue of an observable for the ith excited state of a stationary quantum system were given in this article, where the second order correction was shown to be equivalent to the lower bound of the secondorder correction of the eigenthreshold of the Eigenvalue.Abstract:
This letter finds lower bounds to the second-order correction to the eigenvalue of an observable for the ith excited state of a stationary quantum system.read more
Citations
More filters
Journal ArticleDOI
A coordinate free analysis of the modified Hylleraas functionals for establishing bounds on the second-order corrections to the energies of excited states of atoms
C S Sharma,I Rebelo +1 more
TL;DR: In this paper, upper and lower bounds on the second-order energies of excited stationary states of an atom were established by a coordinate free analysis of suitably modified Hylleraas functionals.
Journal ArticleDOI
Spectral decompositions of certain functionals for the evaluation of quantum-mechanical sums
TL;DR: In this paper, the authors present spectral decompositions of certain functionals which are useful in finding approximate estimates, through the calculation of rigorous lower and upper bounds to the true value, of some quantum-mechanical sums.
References
More filters
Journal ArticleDOI
Two theorems on the variation perturbation method for the excited states of stationary quantum systems
TL;DR: In this article, two theorems are proved which are of considerable use in understanding the situation which arises while applying the variation perturbation method for calculating the state vectors and the energies of stationary quantum systems.