Variational Functionals for Excited States
Naoum C. Bacalis
TL;DR
This paper introduces new variational functionals that have local minima at excited states and proposes improved orthogonal approximants for the ground and first excited states.
Contribution
It presents novel variational functionals with local minima at excited states and develops improved orthogonal approximants for key quantum states.
Findings
Functionals with local minima at excited states are constructed.
Enhanced orthogonal approximants for ground and first excited states are reported.
Abstract
Functionals that have local minima at the excited states of a non degenerate Hamiltonian are presented. Then, improved mutually orthogonal approximants of the ground and the first excited state are reported.
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Taxonomy
TopicsQuantum Mechanics and Non-Hermitian Physics