activity
19982026
most citedPT -symmetric harmonic oscillators

272 citations · 3.8k across the 214 of their papers we have counts for

collaborators

220 papers

quant-ph2026

Asymptotic non-Hermitian degeneracy phenomenon and its exactly solvable simulation

Miloslav Znojil

Up to these days, the popular PT-symmetric imaginary cubic oscillator did not find any consistent probabilistic quantum-mechanical interpretation because its Hamiltonian has been s…

quant-ph2023★ 1 cited

Three alternative model-building strategies using quasi-Hermitian time-dependent observables

Miloslav Znojil

A plet of non-Hermitian and time-dependent operators (say, , ) can be interpreted as the set of observables characterizing a unitary quantum system.…

quant-ph2023★ 2 cited

Zig-zag-matrix algebras and solvable quasi-Hermitian quantum models

Miloslav Znojil

It is well known that the unitary evolution of a closed level quantum system can be generated by a non-Hermitian Hamiltonian with real spectrum. Its Hermiticity can be rest…

quant-ph2023★ 7 cited

Quasi-Hermitian formulation of quantum mechanics using two conjugate Schrödinger equations

Miloslav Znojil

In an amended version of non-Hermitian interaction picture we propose to work with the states in a dyadic representation. The control of evolution via two conjugate Schrödin…

quant-ph2023★ 5 cited

Non-stationary non-Hermitian "wrong-sign'' quantum oscillators and their meaningful physical interpretation

Miloslav Znojil

Quantum mechanics of closed, unitary quantum systems can be formulated in non-Hermitian interaction picture (NIP) in which both the states and the observables vary with time. Then,…

quant-ph2023★ 11 cited

Composite quantum Coriolis forces

Miloslav Znojil

The classical Coriolis force finds its quantum analogue in the difference where the ``true'', observable Hamiltonian represents the instantaneous energy. Th…