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Multidimensional Periodic Schrödinger Operator : Perturbation Theories for High Energy Regions and Their Applications / / by Oktay Veliev
| Multidimensional Periodic Schrödinger Operator : Perturbation Theories for High Energy Regions and Their Applications / / by Oktay Veliev |
| Autore | Veliev Oktay |
| Edizione | [3rd ed. 2024.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2024 |
| Descrizione fisica | 1 online resource (420 pages) |
| Disciplina | 515.625 |
| Collana | Springer Tracts in Modern Physics |
| Soggetto topico |
Quantum theory
Operator theory Differential equations Condensed matter Mathematical physics Quantum Physics Operator Theory Differential Equations Condensed Matter Physics Mathematical Physics |
| ISBN | 9783031490354 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preliminary Facts -- From One-dimensional to Multidimensional -- Asymptotic Formulas for the Bloch Eigenvalues and Bloch Functions -- Constructive Determination of the Spectral Invariants -- Periodic Potential from the Spectral Invariants -- Conclusions and Some Generalization. |
| Record Nr. | UNINA-9910842294003321 |
Veliev Oktay
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2024 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Multidimensional Periodic Schrödinger Operator : Perturbation Theory and Applications / / by Oktay Veliev
| Multidimensional Periodic Schrödinger Operator : Perturbation Theory and Applications / / by Oktay Veliev |
| Autore | Veliev Oktay |
| Edizione | [2nd ed. 2019.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2019 |
| Descrizione fisica | 1 online resource (333 pages) |
| Disciplina |
515.724
530.124 |
| Soggetto topico |
Quantum theory
Solid state physics Mathematical physics Quantum Physics Solid State Physics Mathematical Physics |
| ISBN | 3-030-24578-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Chapter 1 - Preliminary Facts -- Chapter 2- From One-dimensional to Multidimensional -- Chapter 3 - Asymptotic Formulas for the Bloch Eigenvalues and Bloch Functions.-Chapter 4 -Constructive Determination of the Spectral Invariants -- Chapter 5 - Periodic Potential from the Spectral Invariants -- Chapter 6 - Conclusions. . |
| Record Nr. | UNINA-9910349502503321 |
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Veliev Oktay
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||
| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2019 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Multidimensional Periodic Schrödinger Operator : Perturbation Theory and Applications / / by Oktay Veliev
| Multidimensional Periodic Schrödinger Operator : Perturbation Theory and Applications / / by Oktay Veliev |
| Autore | Veliev Oktay |
| Edizione | [1st ed. 2015.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2015 |
| Descrizione fisica | 1 online resource (X, 242 p.) |
| Disciplina | 515.724 |
| Collana | Springer Tracts in Modern Physics |
| Soggetto topico |
Quantum theory
Solid state physics Mathematical physics Quantum Physics Solid State Physics Mathematical Physics |
| ISBN | 3-319-16643-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface -- Asymptotic Formulas for the Bloch Eigenvalues and Bloch Functions -- Constructive Determination of the Spectral Invariants -- Periodic Potential from the Spectral Invariants -- Conclusions. |
| Record Nr. | UNINA-9910300423203321 |
|
Veliev Oktay
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Non-self-adjoint Schrödinger operator with a periodic potential / / Oktay Veliev
| Non-self-adjoint Schrödinger operator with a periodic potential / / Oktay Veliev |
| Autore | Veliev Oktay |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (301 pages) |
| Disciplina | 515.724 |
| Soggetto topico | Schrödinger operator |
| ISBN | 3-030-72683-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Contents -- 1 Introduction and Overview -- 2 Spectral Theory for the Schrödinger Operator with a Complex-Valued Periodic Potential -- 2.1 Introduction -- 2.2 On the Floquet Theory and Spectrum of L(q) -- 2.3 Asymptotic Formulas for the Bloch Eigenvalues and Bloch Functions -- 2.3.1 Uniform Asymptotic Formulas for the Isolated Eigenvalues -- 2.3.2 Asymptotic Formulas for the Isolated Pairs -- 2.3.3 On the Numerations of the Bloch Eigenvalues and Bands -- 2.4 Spectral Singularities and ESS of the Operator L(q) -- 2.5 Spectral Expansion for the Non-self-adjoint Operator L(q) -- 2.6 The Necessity of the Brackets and P.V. Integrals and Criteria for the Elegant Expansion -- 2.7 On the Asymptotic Spectrality of L(q) -- 2.7.1 Spectral Singularities and Spectrality -- 2.7.2 On the Asymptotically Spectral Potentials -- 2.8 Appendices -- 3 On the Special Potentials -- 3.1 On the Even Potentials -- 3.2 On the PT-Symmetric Potentials -- 3.2.1 General Properties of the Spectrum -- 3.2.2 On the Bands Γn for Large n -- 3.2.3 Reality and Non-Reality of the Bands and Spectrality of L(q) -- 3.2.4 Finite Zone PT-Symmetric Periodic Potentials -- 3.2.5 Conclusions, Notes and References -- 3.3 Pure Complex-Valued Potentials with Pure Real Spectrum -- 3.3.1 On the Bloch Eigenvalues and Bloch Function -- 3.3.2 On the Inverse Problem -- 3.3.3 On the Spectral Singularities and ESS -- 4 On the Mathieu-Schrödinger Operator -- 4.1 Introduction -- 4.2 Asymptotic Formulas for the Isolated Eigenvalues and Isospectrality -- 4.3 Asymptotic Formulas for the Pairs of the Eigenvalues and Spectrality -- 4.4 On the ESS and Spectral Expansion of H(a,b) -- 4.5 On Simplicity of the Periodic and Antiperiodic Eigenvalues and Elegant Spectral Expansion -- 5 PT-Symmetric Periodic Optical Potential -- 5.1 Introduction -- 5.2 On the Bloch Eigenvalues.
5.3 On the Bands and Components of the Spectrum -- 5.4 Spectral Singularities, ESS and Spectral Expansion -- 5.5 Finding the Second Critical Point -- 5.6 On the Small Perturbations -- 5.7 Conclusions and Notes -- Index. |
| Record Nr. | UNINA-9910485598603321 |
|
Veliev Oktay
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| Cham, Switzerland : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Non-self-adjoint Schrödinger operator with a periodic potential / / Oktay Veliev
| Non-self-adjoint Schrödinger operator with a periodic potential / / Oktay Veliev |
| Autore | Veliev Oktay |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (301 pages) |
| Disciplina | 515.724 |
| Soggetto topico | Schrödinger operator |
| ISBN | 3-030-72683-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Contents -- 1 Introduction and Overview -- 2 Spectral Theory for the Schrödinger Operator with a Complex-Valued Periodic Potential -- 2.1 Introduction -- 2.2 On the Floquet Theory and Spectrum of L(q) -- 2.3 Asymptotic Formulas for the Bloch Eigenvalues and Bloch Functions -- 2.3.1 Uniform Asymptotic Formulas for the Isolated Eigenvalues -- 2.3.2 Asymptotic Formulas for the Isolated Pairs -- 2.3.3 On the Numerations of the Bloch Eigenvalues and Bands -- 2.4 Spectral Singularities and ESS of the Operator L(q) -- 2.5 Spectral Expansion for the Non-self-adjoint Operator L(q) -- 2.6 The Necessity of the Brackets and P.V. Integrals and Criteria for the Elegant Expansion -- 2.7 On the Asymptotic Spectrality of L(q) -- 2.7.1 Spectral Singularities and Spectrality -- 2.7.2 On the Asymptotically Spectral Potentials -- 2.8 Appendices -- 3 On the Special Potentials -- 3.1 On the Even Potentials -- 3.2 On the PT-Symmetric Potentials -- 3.2.1 General Properties of the Spectrum -- 3.2.2 On the Bands Γn for Large n -- 3.2.3 Reality and Non-Reality of the Bands and Spectrality of L(q) -- 3.2.4 Finite Zone PT-Symmetric Periodic Potentials -- 3.2.5 Conclusions, Notes and References -- 3.3 Pure Complex-Valued Potentials with Pure Real Spectrum -- 3.3.1 On the Bloch Eigenvalues and Bloch Function -- 3.3.2 On the Inverse Problem -- 3.3.3 On the Spectral Singularities and ESS -- 4 On the Mathieu-Schrödinger Operator -- 4.1 Introduction -- 4.2 Asymptotic Formulas for the Isolated Eigenvalues and Isospectrality -- 4.3 Asymptotic Formulas for the Pairs of the Eigenvalues and Spectrality -- 4.4 On the ESS and Spectral Expansion of H(a,b) -- 4.5 On Simplicity of the Periodic and Antiperiodic Eigenvalues and Elegant Spectral Expansion -- 5 PT-Symmetric Periodic Optical Potential -- 5.1 Introduction -- 5.2 On the Bloch Eigenvalues.
5.3 On the Bands and Components of the Spectrum -- 5.4 Spectral Singularities, ESS and Spectral Expansion -- 5.5 Finding the Second Critical Point -- 5.6 On the Small Perturbations -- 5.7 Conclusions and Notes -- Index. |
| Record Nr. | UNISA-996466844003316 |
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Veliev Oktay
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| Cham, Switzerland : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Non-Self-Adjoint Schrödinger Operator with a Periodic Potential : Spectral Theories for Scalar and Vectorial Cases and Their Generalizations / / by Oktay Veliev
| Non-Self-Adjoint Schrödinger Operator with a Periodic Potential : Spectral Theories for Scalar and Vectorial Cases and Their Generalizations / / by Oktay Veliev |
| Autore | Veliev Oktay |
| Edizione | [2nd ed. 2025.] |
| Pubbl/distr/stampa | Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2025 |
| Descrizione fisica | 1 online resource (777 pages) |
| Disciplina | 530.1 |
| Soggetto topico |
Mathematical physics
Quantum theory Condensed matter Optics Theoretical, Mathematical and Computational Physics Quantum Physics Mathematical Methods in Physics Condensed Matter Physics Optics and Photonics |
| ISBN |
9783031902598
9783031902581 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1.Introduction and Overview -- 2.Spectral Theory for the Schr¨odinger Operator with a ComplexValued Periodic Potential -- 3.On the Special Potentials -- 4.On the Mathieu-Schr¨odinger Operator -- 5.PT-Symmetric Periodic Optical Potential -- 6.On the Schr¨odinger Operator with a Periodic Matrix Potential -- 7.Some Generalizations and Supplements. |
| Record Nr. | UNINA-9911015865203321 |
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Veliev Oktay
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| Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2025 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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