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quant-ph2024
The Hellmann-Feynman theorem and the spectrum of some Hamiltonian operators
Paolo Amore, Francisco M. Fernández
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.
quant-ph2024
On the eigenvalues of the harmonic oscillator with a Gaussian perturbation
Paolo Amore, Francisco M. Fernández, Javier Garcia
We test the analytical expressions for the first two eigenvalues of the harmonic oscillator with a Gaussian perturbation proposed recently. Our numerical eigenvalues show that thos…