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  1. 1.
    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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  2. 2.
    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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  3. 3.
    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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  4. 4.
    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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  5. 5.
    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
     
     
  6. 6.
    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
     
     
  7. 7.
    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
     
     
  8. 8.
    0570860 - ÚJF 2024 RIV US eng J - Journal Article
    Znojil, Miloslav
    Systematics of quasi-Hermitian representations of non-Hermitian quantum models.
    Annals of Physics. Roč. 448, JAN (2023), č. článku 169198. ISSN 0003-4916. E-ISSN 1096-035X
    Institutional support: RVO:61389005
    Keywords : non-Hermitian quantum mechanics of * unitary systems * Isospectral preconditionings of * Hamiltonians * Physical Hilbert spaces with ad hoc * inner-product metrics * Alternative reconstructions of hidden * Hermiticity
    OECD category: Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)
    Impact factor: 3, year: 2022
    Method of publishing: Limited access
    https://doi.org/10.1016/j.aop.2022.169198
    Permanent Link: https://hdl.handle.net/11104/0342188
     
     
  9. 9.
    0569665 - ÚJF 2024 RIV NL eng J - Journal Article
    Znojil, Miloslav
    Non-stationary quantum mechanics in hybrid non-Hermitian interaction representation.
    Physics Letters. A. Roč. 462, FEB (2023), č. článku 128655. ISSN 0375-9601. E-ISSN 1873-2429
    Institutional support: RVO:61389005
    Keywords : Non-Hermitian quantum mechanics of closed systems * Non-stationary physical inner product in Hilbert space * Solvable two-state model
    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.2023.128655
    Permanent Link: https://hdl.handle.net/11104/0341037
     
     
  10. 10.
    0563843 - ÚJF 2023 RIV CH eng J - Journal Article
    Znojil, Miloslav
    Interference of Non-Hermiticity with Hermiticity at Exceptional Points.
    Mathematics. Roč. 10, č. 20 (2022), č. článku 3721. E-ISSN 2227-7390
    Institutional support: RVO:61389005
    Keywords : non-Hermitian quantum mechanics of the closed and open systems * non-Hermitian and Hermitian components of the Hamiltonian * control of access to the exceptional point degeneracies and to the related quantum phase transitions * perturbation theory tractability of the matrix toy models exhibiting PT symmetry
    OECD category: Pure mathematics
    Impact factor: 2.4, year: 2022
    Method of publishing: Open access
    https://doi.org/10.3390/math10203721
    Permanent Link: https://hdl.handle.net/11104/0335633
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    0563843.pdf0449 KBOpen Access - CC licencePublisher’s postprintopen-access
     
     

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