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  1. 1.
    0586598 - ÚJF 2025 RIV CH eng J - Journal Article
    Znojil, Miloslav
    Features, Paradoxes and Amendments of Perturbative Non-Hermitian Quantum Mechanics.
    Symmetry-Basel. Roč. 16, č. 5 (2024), č. článku 629. E-ISSN 2073-8994
    Institutional support: RVO:61389005
    Keywords : unitary quantum mechanics * non-Hermitian Schrodinger picture * generalized perturbation theory * ambiguity of physical Hilbert space
    OECD category: Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)
    Impact factor: 2.7, year: 2022
    Method of publishing: Open access
    https://doi.org/10.3390/sym16050629
    Permanent Link: https://hdl.handle.net/11104/0354052
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  2. 2.
    0584994 - ÚJF 2025 RIV CH eng J - Journal Article
    Znojil, Miloslav
    Anisotropy and Asymptotic Degeneracy of the Physical-Hilbert-Space Inner-Product Metrics in an Exactly Solvable Unitary Quantum Model.
    Symmetry-Basel. Roč. 16, č. 3 (2024), č. článku 353. E-ISSN 2073-8994
    Institutional support: RVO:61389005
    Keywords : unitary quantum solvable toy model * Hilbert-space anisotropy * eigenvalues of metric * exceptional-point collapse
    OECD category: Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)
    Impact factor: 2.7, year: 2022
    Method of publishing: Open access
    https://doi.org/10.3390/sym16030353
    Permanent Link: https://hdl.handle.net/11104/0352773
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  3. 3.
    0584744 - ÚJF 2025 RIV GB eng J - Journal Article
    Znojil, Miloslav
    Discrete-coordinate crypto-Hermitian quantum system controlled by time-dependent Robin boundary conditions.
    Physica Scripta. Roč. 99, č. 3 (2024), č. článku 035250. ISSN 0031-8949. E-ISSN 1402-4896
    Institutional support: RVO:61389005
    Keywords : quantum theory of unitary systems * non-Hermitian interaction representation * non-stationary physical inner products * solvable discrete square well
    OECD category: Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)
    Impact factor: 2.9, year: 2022
    Method of publishing: Open access
    https://doi.org/10.1088/1402-4896/ad298b
    Permanent Link: https://hdl.handle.net/11104/0352589
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    0584744.pdf0477.9 KBCC licencePublisher’s postprintopen-access
     
     
  4. 4.
    0582660 - ÚJF 2025 RIV CH eng J - Journal Article
    Znojil, Miloslav
    Calogero-like Model without Rearrangement Symmetry.
    Symmetry-Basel. Roč. 16, č. 1 (2024), č. článku 27. E-ISSN 2073-8994
    Institutional support: RVO:61389005
    Keywords : Calogero's A(N) modela * symmetric two-particle barriers * exact solvability requirement * coloring of the Weyl chambers
    OECD category: Pure mathematics
    Impact factor: 2.7, year: 2022
    Method of publishing: Open access
    https://doi.org/10.3390/sym16010027
    Permanent Link: https://hdl.handle.net/11104/0350735
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  5. 5.
    0575352 - ÚJF 2024 RIV CH eng J - Journal Article
    Znojil, Miloslav
    Three Alternative Model-Building Strategies Using Quasi-Hermitian Time-Dependent Observables.
    Symmetry-Basel. Roč. 15, č. 8 (2023), č. článku 1596. E-ISSN 2073-8994
    Institutional support: RVO:61389005
    Keywords : quantum theory of unitary systems * non-Hermitian interaction representation * non-stationary physical inner products * model-building classification
    OECD category: Pure mathematics
    Impact factor: 2.7, year: 2022
    Method of publishing: Open access
    https://doi.org/10.3390/sym15081596
    Permanent Link: https://hdl.handle.net/11104/0345138
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  6. 6.
    0574841 - ÚJF 2024 RIV GB eng J - Journal Article
    Znojil, Miloslav
    Zig-zag-matrix algebras and solvable quasi-Hermitian quantum models.
    Journal of Physics A-Mathematical and Theoretical. Roč. 56, č. 33 (2023), č. článku 335301. ISSN 1751-8113. E-ISSN 1751-8121
    Institutional support: RVO:61389005
    Keywords : non-Hermitian quantum mechanics of unitary systems * a zig-zag-matrix class of N-state solvable models * closed formulae for wave functions * closed formula for general physical inner-product metric
    OECD category: Pure mathematics
    Impact factor: 2.1, year: 2022
    Method of publishing: Open access
    https://doi.org/10.1088/1751-8121/ace8d5
    Permanent Link: https://hdl.handle.net/11104/0344776
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  7. 7.
    0574840 - ÚJF 2024 RIV CH eng J - Journal Article
    Znojil, Miloslav
    Quasi-Hermitian Formulation of Quantum Mechanics Using Two Conjugate Schrodinger Equations.
    AXIOMS. Roč. 12, č. 7 (2023), č. článku 644. E-ISSN 2075-1680
    Institutional support: RVO:61389005
    Keywords : quantum theory of unitary systems * non-Hermitian interaction representation * non-stationary physical inner products * dyadic representation of pure states * schematic quantum model of Big Bang
    OECD category: Pure mathematics
    Impact factor: 2, year: 2022
    Method of publishing: Open access
    https://doi.org/10.3390/axioms12070644
    Permanent Link: https://hdl.handle.net/11104/0344775
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    0574840 .pdf0382 KBCC licencePublisher’s postprintopen-access
     
     
  8. 8.
    0571840 - ÚJF 2024 RIV CH eng J - Journal Article
    Znojil, Miloslav
    Non-Stationary Non-Hermitian 'Wrong-Sign' Quantum Oscillators and Their Meaningful Physical Interpretation.
    Entropy. Roč. 25, č. 4 (2023), č. článku 692. E-ISSN 1099-4300
    Institutional support: RVO:61389005
    Keywords : quantum mechanics of non-stationary unitary systems * non-Hermitian interaction representation * quasi-Hermitian form of the observables * a complete set of evolution equations * internal consistency of the probabilistic interpretation * application to asymptotically repulsive potential models
    OECD category: Applied mathematics
    Impact factor: 2.7, year: 2022
    Method of publishing: Open access
    https://doi.org/10.3390/e25040692
    Permanent Link: https://hdl.handle.net/11104/0342753
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    0571840.pdf0342.9 KBOpen Access - CC licencePublisher’s postprintopen-access
     
     
  9. 9.
    0571103 - ÚJF 2024 RIV CH eng J - Journal Article
    Znojil, Miloslav
    Composite Quantum Coriolis Forces.
    Mathematics. Roč. 11, č. 6 (2023), č. článku 1375. E-ISSN 2227-7390
    Institutional support: RVO:61389005
    Keywords : quantum mechanics of closed unitary systems * operators of observables in non-Hermitian representation * time-dependent physical inner products * non-stationary non-Hermitian interaction picture * N alternative triplets of evolution equations * wrong-sign anharmonic oscillator
    OECD category: Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)
    Impact factor: 2.4, year: 2022
    Method of publishing: Open access
    https://doi.org/10.3390/math11061375
    Permanent Link: https://hdl.handle.net/11104/0342404
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    0571103.pdf0402.5 KBOpen Access - CC licencePublisher’s postprintopen-access
     
     
  10. 10.
    0570944 - ÚJF 2024 RIV NL eng J - Journal Article
    Znojil, Miloslav
    Hybrid form of quantum theory with non-Hermitian Hamiltonians.
    Physics Letters. A. Roč. 457, JAN (2023), č. článku 128556. ISSN 0375-9601. E-ISSN 1873-2429
    Institutional support: RVO:61389005
    Keywords : Non -Hermitian quantum mechanics of unitary systems * Hiddenly Hermitian quantum Hamiltonians * Factorized Dyson map * Hermitization using a combined * amendment of the inner product and * Hamiltonian
    OECD category: Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)
    Impact factor: 2.6, year: 2022
    Method of publishing: Limited access
    https://doi.org/10.1016/j.physleta.2022.128556
    Permanent Link: https://hdl.handle.net/11104/0342282
     
     

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