Prohlížení Acta Polytechnica. 2022, vol. 62, no.1 dle názvu
Zobrazují se záznamy 17-22 z 22
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Quantization of rationally deformed Morse potentials by Wronskian transforms of Romanovski-Bessel polynomials
(České vysoké učení technické v PrazeCzech Technical University in Prague, 2022)The paper advances Odake and Sasaki’s idea to re-write eigenfunctions of rationally deformed Morse potentials in terms of Wronskians of Laguerre polynomials in the reciprocal argument. It is shown that the constructed ... -
Quantum description of angles in the plane
(České vysoké učení technické v PrazeCzech Technical University in Prague, 2022)The real plane with its set of orientations or angles in [0, π) is the simplest non trivial example of a (projective) Hilbert space and provides nice illustrations of quantum formalism. We present some of them, namely ... -
Rational extension of many particle systems
(České vysoké učení technické v PrazeCzech Technical University in Prague, 2022)In this talk, we briefly review the rational extension of many particle systems, and is based on a couple of our recent works. In the first model, the rational extension of the truncated Calogero-Sutherland (TCS) model is ... -
Swanson Hamiltonian revisited through the complex scaling method
(České vysoké učení technické v PrazeCzech Technical University in Prague, 2022)In this work, we study the non-hermitian PT-symmetry Swanson Hamiltonian in the framework of the Complex Scaling Method. We show that by applying this method we can work with eigenfunctions that are square-integrable both ... -
Time-dependent mass oscillators: constants of motion and semiclasical states
(České vysoké učení technické v PrazeCzech Technical University in Prague, 2022)This work reports the construction of constants of motion for a family of time-dependent mass oscillators, achieved by implementing the formalism of form-preserving point transformations. The latter allows obtaining a ... -
Time-dependent step-like potential with a freezable bound state in the continuum
(České vysoké učení technické v PrazeCzech Technical University in Prague, 2022)In this work, we construct a time-dependent step-like potential supporting a normalizable state with energy embedded in the continuum. The potential is allowed to evolve until a stopping time ti, where it becomes static. ...