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19992026
most citedFormation of a Nematic Fluid at High Fields in Sr3Ru2O7

436 citations

Showing 2021 · quant-phShow all

5 papers · 2 filters

quant-ph2021★ 12 cited

An ubiquitous three-term recurrence relation

Paolo Amore, Francisco M. Fernández

We solve an eigenvalue equation that appears in several papers about a wide range of physical problems. The Frobenius method leads to a three-term recurrence relation for the coeff…

quant-ph2021★ 1 cited

A most misunderstood conditionally-solvable quantum-mechanical model

Francisco M. Fernández

In this paper we show that several authors have derived wrong physical conclusions from a gross misunderstanding of the exact eigenvalues and eigenfunctions of a conditionally-solv…

quant-ph2021★ 6 cited

On a class of non-Hermitian Hamiltonians with tridiagonal matrix representation

Francisco M. Fernández

We show that some non-Hermitian Hamiltonian operators with tridiagonal matrix representation may be quasi Hermitian or similar to Hermitian operators. In the class of Hamiltonian o…

quant-ph2021★ 1 cited

Comment on: "Bound states and the potential parameter spectrum". J. Math. Phys. \textbf{67}, 062103 (2020)

Francisco M. Fernández

We analyze the application of the "tridiagonal representation approach" (TRA) to the Schrödinger equation for some simple, exactly-solvable, quantum-mechanical models. In the case…

quant-ph2021★ 1 cited

Comment on: "Aharonov-Bohm effect for bound states from the interaction of the magnetic quadrupole moment of a neutral particle with axial fields". Phys. Rev. A 101, 032102 (2020)

Francisco M. Fernández

We analyze recently published results about the Aharonov-Bohm effect for bound states from the interaction of the magnetic quadrupole moment of a neutral particle with axial fields…