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

436 citations

Showing 2015 · quant-phShow all

6 papers · 2 filters

quant-ph2015★ 11 cited

Highly accurate calculation of the real and complex eigenvalues of one-dimensional anharmonic oscillators

Francisco M. Fernández, Javier Garcia

We draw attention on the fact that the Riccati-Padé method developed some time ago enables the accurate calculation of bound-state eigenvalues as well as of resonances embedded eit…

quant-ph2015★ 20 cited

Symmetric quadratic Hamiltonians with pseudo-Hermitian matrix representation

Francisco M Fernández

We prove that any symmetric Hamiltonian that is a quadratic function of the coordinates and momenta has a pseudo-Hermitian adjoint or regular matrix representation. The eigenvalues…

quant-ph2015

Three PT-symmetric Hamiltonians with completely different spectra

Francisco M. Fernández, Javier Garcia

We discuss three Hamiltonians, each with a central-field part and a PT-symmetric perturbation . When is the isotropic Harmonic oscillator the spectrum is real…

quant-ph2015

Highly accurate calculation of the resonances in the Stark effect in hydrogen

Francisco M Fernández, Javier Garcia

We obtained accurate resonances for the Stark effect in hydrogen by means of three independent methods. Two of them are based on complex rotation of the coordinates and diagonaliza…

quant-ph2015★ 10 cited

Non-Hermitian Hamiltonians and similarity transformations

Francisco M. Fernández

We show that similarity (or equivalent) transformations enable one to construct non-Hermitian operators with real spectrum. In this way we can also prove and generalize the results…

quant-ph2015★ 2 cited

Group theoretical analysis of a quantum-mechanical three-dimensional quartic anharmonic oscillator

Francisco M. Fernández

This paper illustrates the application of group theory to a quantum-mechanical three-dimensional quartic anharmonic oscillator with symmetry. It is shown that group theory…