85 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Czech Academy of Sciences, Nuclear Physics InstituteCZ65 papers
- University Frères Mentouri Constantine 1DZ31 papers
- Czech Academy of SciencesCZ25 papers
- Durban University of TechnologyZA25 papers
- Université Constantine 2DZ25 papers
- Akdeniz UniversityTR24 papers
- Czech Technical University in PragueCZ21 papers
- University of ShahroodIR21 papers
- FZU ‒ Institute of Physics of the Academy of Sciences of the Czech RepublicCZ17 papers
- Institute of Mathematics with Computer CenterRU15 papers
- Hassiba Benbouali University of ChlefDZ13 papers
- Universidad de ValladolidES13 papers
70 papers · 1 filter
Inverse Feshbach's problem: Solvability and solutions
Miloslav Znojil
Given a certain specific, by matrix form of the Feshbach's effective (i.e., energy-dependent) Hamiltonian , the inverse-problem reconstruction of the…
Triple exceptional point with unitary paths of unfolding in a three-site fermionic Swanson-like model
Bijan Bagchi, Aritra Ghosh, Miloslav Znojil
A fermionic three-site generalization of the popular bosonic Swanson model is studied as providing an exactly solvable five-parametric example of the quantum-mechanical unitary-evo…
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…
Phase transitions in quasi-Hermitian quantum models at exceptional points of order four
Miloslav Znojil
Quantum phase transition is interpreted as an evolution, at the end of which a parameter-dependent Hamiltonian loses its observability. In the language of mathematics, such…
Quasi-harmonic spectra from branched Hamiltonians
Aritra Ghosh, Bijan Bagchi, A. Ghose-Choudhury +2
We revisit the canonical quantization to assess the spectrum of the modified Emden equation , which is an isochronous case of t…
Non-Hermitian Bose-Hubbard-like quantum models
Miloslav Znojil
Among all of the non-Hermitian large-tridiagonal-matrix quantum Hamiltonians we choose a subclass with the structure resembling the ``benchmark'' realistic Bose-Hubbard model. We d…
Twin Hamiltonians, three types of the Dyson maps, and the probabilistic interpretation problem in quasi-Hermitian quantum mechanics
Aritra Ghosh, Adam Miranowicz, Miloslav Znojil
In the framework of the so-called quasi-Hermitian quantum mechanics of stationary unitary systems, bound states are usually constructed as eigenstates of a Hamiltoni…
Emergence and localization of exceptional points in an exactly solvable toy model
Miloslav Znojil
The most elementary non-Hermitian quantum square-well problem with real spectrum is considered. The Schroedinger equation is required discrete and endowed with PT-symmetric Robin (…
Reconstruction of full-space quantum Hamiltonian from its effective, energy-dependent model-space projection
Miloslav Znojil
Reconstruction of a full-space quantum Hamiltonian from its effective Feshbach's model-space avatar is shown feasible. In a preparatory step the information carried by the effectiv…
Resonances and continued-fraction Green's functions in non-Hermitian Bose-Hubbard-like quantum models
Miloslav Znojil
With resonances treated as eigenstates of a non-Hermitian quantum Hamiltonian, the task of localization of the complex energy eigenvalues is considered. The paper is devoted to the…
Spectral and Thermal Analysis of the Morse Potential within the Dunkl Formalism: Analytical Approximations and Applications
B. Hamil, B. C. Lütfüoğlu, A. N. Ikot +1
In this work, we investigate the quantum dynamics of a particle subject to the Morse potential within the framework of Dunkl quantum mechanics. By employing the Dunkl derivative op…
Time-dependent Dunkl-Pauli Oscillator
A. Benchikha, B. Hamil, B. C. Lütfüoğlu
This study explores the time-dependent Dunkl-Pauli oscillator in two dimensions. We constructed the Dunkl-Pauli Hamiltonian, which incorporates a time-varying magnetic field and a…
Intrinsic exceptional point -- a challenge in quantum theory
Miloslav Znojil
In spite of its unbroken symmetry, the popular imaginary cubic oscillator Hamiltonian does not satisfy all of the necessary postulates of quan…
A Path Integral Treatment of Time-dependent Dunkl Quantum Mechanics
A. Benchikha, B. Hamil, B. C. Lütfüoğlu
This paper presents an analytical treatment of the path integral formalism for time-dependent quantum systems within the framework of Wigner-Dunkl mechanics, emphasizing systems wi…
Bounding the Wigner Deformation Parameter in Harmonically Trapped Bose Gases
M. Benarous, A. Hocine, B. C. Lütfüoğlu +1
By examining the internal energy and the heat capacity of a harmonically trapped ideal Bose gas within the Dunkl formalism, we show that the Wigner parameter influences the slopes…
Dunkl-Klein-Gordon Equation in Higher Dimensions
B. Hamil, B. C. Lütfüoğlu, M. Merad
In this study, we replace the standard partial derivatives in the Klein-Gordon equation with Dunkl derivatives and obtain exact analytical solutions for the eigenvalues and eigenfu…
Dunkl-Schrodinger Equation in Higher Dimension
B. Hamil, B. C. Lütfüoğlu, M. Merad
This paper presents analytical solutions for eigenvalues and eigenfunctions of the Schrödinger equation in higher dimensions, incorporating the Dunkl operator. Two fundamental quan…
Non-Hermitian-Hamiltonian-induced unitarity and optional physical inner products in Hilbert space
Miloslav Znojil
In the framework of quasi-Hermitian quantum mechanics it is shown that a weakening of the isotropy of the Hilbert-space geometry can help us to enlarge the domain of the parameters…
Dirac Equation with Space Contributions Embedded in a Quantum-Corrected Gravitational Field
M. Baradaran, L. M. Nieto, S. Zarrinkamar
The Dirac equation is considered with the recently proposed generalized gravitational interaction (Kepler or Coulomb), which includes post-Newtonian (relativistic) and quantum corr…
Time-Dependent Dunkl-Schrödinger Equation with an Angular-Dependent Potential
B. C. Lütfüoğlu, A. Benchikha, B. Hamil +1
In this manuscript, we investigate the analytical solution of the time-dependent Schrödinger equation for a harmonic oscillator with time-dependent mass and frequency, coupled with…
Quantum singularities in a solvable toy model
Miloslav Znojil
Via elementary examples it is demonstrated that the singularities of classical physics (sampled by the Big Bang in cosmology) need not necessarily get smeared out after quantizatio…
One-dimensional Dunkl Quantum Mechanics: A Path Integral Approach
A. Benchikha, B. Hamil, B. C. Lütfüoğlu +1
In the present manuscript, we employ the Feynman path integral method to derive the propagator in one-dimensional Wigner-Dunkl quantum mechanics. To verify our findings we calculat…
Dunkl-Schrödinger equation with time-dependent harmonic oscillator potential
A. Benchikha, B. Khantoul, B. Hamil +1
In this paper, using the Lewis-Riesenfeld method, we determine the explicit form of the wavefunctions of one- and three-dimensional harmonic oscillators with time-dependent mass an…
Features, paradoxes and amendments of perturbative non-Hermitian quantum mechanics
Miloslav Znojil
Quantum mechanics of unitary systems is considered in quasi-Hermitian representation. In this framework the concept of perturbation is found counterintuitive, for three reasons. Th…