121 citations · 704 across the 44 of their papers we have counts for
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The method of Hill determinants in PT-symmetric quantum mechanics
Miloslav Znojil
Hill-determinant method is described and shown applicable within the so called PT-symmetric quantum mechanics. We demonstrate that in a way paralleling its traditional Hermitian ap…
PT-symmetry, ghosts, supersymmetry and Klein-Gordon equation
Miloslav Znojil
Parallels between the concepts of symmetry, supersymmetry and (recently introduced) PT-symmetry are reviewed and discussed, with particular emphasis on the new insight in quantum t…
Partial sums and optimal shifts in shifted large-L perturbation expansions for quasi-exact potentials
Miloslav Znojil
Exact solvability (typically, of harmonic oscillators) in quantum mechanics usually implies an elementary form of the spectrum while in all the "next-to-solvable" models, the energ…
Linear representation of energy-dependent Hamiltonians
Miloslav Znojil
Effective (i.e., subspace-constrained) Hamiltonians become, by construction, energy-dependent while all the energy-dependent forces prove non-linear because the energy itself is me…
Fragile PT-symmetry in a solvable model
Miloslav Znojil
One of the simplest pseudo-Hermitian models with real spectrum (viz., square-well on a real interval I of coordinates) is re-examined. A PT-symmetric complex deformation C of I is…