The Hellmann-Feynman theorem and the spectrum of some Hamiltonian operators

2024/07/17 by Paolo Amore, Amore, Paolo, Francisco M. Fernández +1
Mathematics · Computer Science · #advanced mathematical theories #Algebraic and Geometric Analysis #Matrix Theory and Algorithms

paper · pdf · doi:10.48550/arxiv.2408.00787

Abstract

In this short note we resort to the well known Hellmann-Feynman theorem to prove that some non-relativistic Hamiltonian operators support an infinite number of bound states.

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